@article{4313,
author = {Ken Ono and others},
title = {Shimura sums related to imaginary quadratic fields},
year = {1994},
booktitle = {Proceedings of the Japan Academy of Sciences},
journal = {Proceedings of the Japan Academy of Sciences},
volume = {70},
pages = {146–151},
language = {eng},
}
@article{4318,
author = {Ken Ono},
title = {Congruences on the Fourier coefficients of modular forms on
Gamma Î0(N) with number-theoretic applications.},
year = {1994},
booktitle = {Contemporary Mathematics},
journal = {Contemporary Mathematics},
volume = {166},
pages = {93-105},
language = {eng},
}
@article{4320,
author = {Ono},
title = {On the positivity of the number of partitions that are t-cores},
year = {1994},
booktitle = {Acta Arithmetica},
journal = {Acta Arithmetica},
volume = {66},
number = {3},
pages = {221–228},
language = {eng},
}
@article{4322,
author = {Ken Ono and Sinai Robins},
title = {Superlacunary cusp forms},
year = {1995},
booktitle = {Proceedings of the American Mathematical Society},
journal = {Proceedings of the American Mathematical Society},
volume = {123},
number = {4},
pages = {1021–1029},
language = {eng},
}
@article{4327,
author = {Ono},
title = {Parity of the partition function},
year = {1995},
booktitle = {Electronic Research Announcements of the American
Mathematical Society},
journal = {Electronic Research Announcements of the American Mathematical
Society},
volume = {1},
number = {1},
pages = {35-42},
language = {eng},
}
@inbook{4331,
author = {Ken Ono and Sinai Robins and Patrick Wahl},
title = {On the representation of integers as sums of triangular
numbers},
year = {1995},
booktitle = {Aggregating clones, colors, equations, iterates, numbers,
and tiles},
journal = {Aggregating clones, colors, equations, iterates, numbers, and
tiles},
pages = {73–94},
publisher = {Springer},
language = {eng},
}
@article{4333,
author = {Ken Ono and others},
title = {A note on the number of t-core partitions},
year = {1995},
booktitle = {Rocky Mountain Journal of Mathematics},
journal = {Rocky Mountain Journal of Mathematics},
volume = {25},
pages = {1165–1170},
publisher = {Rocky Mountain Mathematics Consortium},
language = {eng},
}
@article{4335,
author = {Ken Ono},
title = {A note on the Shimura correspondence and the Ramanujan tau(n)
function},
year = {1995},
booktitle = {Utilitas Mathematica},
journal = {Utilitas Mathematica},
volume = {47},
pages = {170–180},
language = {eng},
}
@article{4336,
author = {Ken Ono},
title = {Congruences for Frobenius partitions},
year = {1996},
booktitle = {Journal of Number Theory},
journal = {Journal of Number Theory},
volume = {57},
number = {1},
pages = {170–180},
publisher = {Elsevier},
language = {eng},
}
@article{4337,
author = {Andrew Granville and Ken Ono},
title = {Defect zero blocks for finite simple groups},
year = {1996},
booktitle = {Transactions of the American Mathematical Society},
journal = {Transactions of the American Mathematical Society},
volume = {348},
number = {1},
pages = {331–347},
language = {eng},
}
@article{4338,
author = {Ken Ono},
title = {On the Parity of the partition function in arithmetic
progressions},
year = {1996},
booktitle = {Journal fur die reine und angewandte Mathematik},
journal = {Journal fur die reine und angewandte Mathematik},
pages = {1–1},
publisher = {WALTER DE GRUYTER},
language = {eng},
}
@inbook{4339,
author = {Antal Balog and Henri Darmon and Ken Ono},
title = {Congruences for Fourier coefficients of half-integral weight
modular forms and special values of L-functions},
year = {1996},
booktitle = {Analytic Number Theory},
journal = {Analytic Number Theory},
pages = {105–128},
publisher = {Springer},
language = {eng},
}
@article{4340,
author = {Ono and Eichlorn},
title = {Congruences for partition functions},
year = {1996},
booktitle = {Proceedings for a Conference in Honor of Heini Halbertstam},
journal = {Proceedings for a Conference in Honor of Heini Halbertstam},
volume = {1},
pages = {309-321},
language = {eng},
}
@article{4341,
author = {Ken Ono},
title = {Rank zero quadratic twists of modular elliptic curves},
year = {1996},
booktitle = {Compositio Mathematica},
journal = {Compositio Mathematica},
volume = {104},
number = {3},
pages = {293–304},
language = {eng},
}
@article{4342,
author = {Ono and Ono},
title = {Quadratic forms and elliptic curves III},
year = {1996},
booktitle = {Proceedings of the Japan Academy of Sciences},
journal = {Proceedings of the Japan Academy of Sciences},
volume = {72(A)},
pages = {204-205},
language = {eng},
}
@article{4343,
author = {Ken Ono},
title = {Euler's concordant forms},
year = {1996},
booktitle = {Acta Arithmetica},
journal = {Acta Arithmetica},
volume = {78},
pages = {101–123},
publisher = {Instytut Matematyczny Polskiej Akademii Nauk},
language = {eng},
}
@article{4344,
author = {Ken Ono and Neville Robbins and Brad Wilson},
title = {Some recurrences for arithmetical functions},
year = {1996},
booktitle = {J. Indian Math. Soc},
journal = {J. Indian Math. Soc},
volume = {62},
number = {1},
pages = {1–22},
language = {eng},
}
@article{4348,
author = {Basil Gordon and Ken Ono},
title = {Divisibility of certain partition functions by powers of
primes},
year = {1997},
booktitle = {The Ramanujan Journal},
journal = {The Ramanujan Journal},
volume = {1},
number = {1},
pages = {25–34},
publisher = {Springer},
language = {eng},
}
@article{4349,
author = {Ken Ono and Brad Wilson and others},
title = {Parity of Fourier coefficients of modular forms},
year = {1997},
booktitle = {Illinois J. Math},
journal = {Illinois J. Math},
volume = {41},
pages = {142–150},
language = {eng},
}
@article{4350,
author = {Ken Ono},
title = {Odd values of the partition function},
year = {1997},
booktitle = {Discrete Mathematics},
journal = {Discrete Mathematics},
volume = {169},
number = {1-3},
pages = {263–268},
publisher = {Elsevier},
language = {eng},
}
@article{4351,
author = {Ken Ono and Lawrence Sze},
title = {4-core partitions and class numbers},
year = {1997},
booktitle = {Acta Arithmetica},
journal = {Acta Arithmetica},
volume = {80},
number = {3},
pages = {249–272},
language = {eng},
}
@article{4353,
author = {Ken Ono},
title = {Twists of elliptic curves},
year = {1997},
booktitle = {Compositio Mathematica},
journal = {Compositio Mathematica},
volume = {106},
number = {3},
pages = {349–360},
publisher = {London Mathematical Society},
language = {eng},
}
@article{4354,
author = {Ken Ono},
title = {Ramanujan, taxicabs, birthdates, ZIP codes, and twists},
year = {1997},
booktitle = {The American mathematical monthly},
journal = {The American mathematical monthly},
volume = {104},
number = {10},
pages = {912–917},
publisher = {Taylor & Francis},
language = {eng},
}
@article{4355,
author = {Ken Ono},
title = {Tate-Shafarevich groups of the congruent number elliptic
curves},
year = {1997},
booktitle = {Acta Arithmetica},
journal = {Acta Arithmetica},
volume = {81},
number = {3},
pages = {247–252},
language = {eng},
}
@article{4356,
author = {Ken Ono and Kannan Soundararajan},
title = {Ramanujan's ternary quadratic form},
year = {1997},
booktitle = {Inventiones mathematicae},
journal = {Inventiones mathematicae},
volume = {130},
number = {3},
pages = {415–454},
publisher = {Springer},
language = {eng},
}
@article{4357,
author = {Yves Martin and Ken Ono},
title = {Eta-quotients and elliptic curves},
year = {1997},
booktitle = {Proceedings of the American Mathematical Society},
journal = {Proceedings of the American Mathematical Society},
volume = {125},
number = {11},
pages = {3169–3176},
language = {eng},
}
@article{4372,
author = {Ken Ono},
title = {Values of Gaussian hypergeometric series},
year = {1998},
booktitle = {Transactions of the American Mathematical Society},
journal = {Transactions of the American Mathematical Society},
volume = {350},
number = {3},
pages = {1205–1223},
language = {eng},
}
@article{4373,
author = {Ono and Ahlgren and Ekhad and Zeilberger},
title = {A binomial coefficient identity related to a conjecture of F.
Beukers},
year = {1998},
booktitle = {Electronic Journal of Combinatorics},
journal = {Electronic Journal of Combinatorics},
volume = {5},
number = {1},
language = {eng},
}
@article{4374,
author = {Ken Ono and Christopher Skinner},
title = {Fourier coefficients of half-integral weight modular forms
modulo â},
year = {1998},
booktitle = {Annals of Mathematics, arXiv preprint arXiv:0710.0283},
journal = {Annals of Mathematics, arXiv preprint arXiv:0710.0283},
volume = {147},
pages = {453-470},
publisher = {Citeseer},
language = {eng},
}
@article{4375,
author = {Ken Ono},
title = {Gordon’s epsilon-conjecture on the lacunarity of modular
forms},
year = {1998},
booktitle = {C. R. Math. Rep. Acad. Sci. Canada},
journal = {C. R. Math. Rep. Acad. Sci. Canada},
volume = {20},
pages = {103–107},
publisher = {Citeseer},
language = {eng},
}
@article{4376,
author = {Ken Ono},
title = {Partitions into distinct parts and elliptic curves},
year = {1998},
booktitle = {Journal of Combinatorial Theory, Series A},
journal = {Journal of Combinatorial Theory, Series A},
volume = {82},
number = {2},
pages = {193–201},
publisher = {Academic Press},
language = {eng},
}
@article{4377,
author = {Ken Ono},
title = {A note on a question of J. Nekovar and the Birch and
Swinnerton-Dyer conjecture},
year = {1998},
booktitle = {Proceedings of the American Mathematical Society},
journal = {Proceedings of the American Mathematical Society},
volume = {126},
number = {10},
pages = {2849–2853},
language = {eng},
}
@article{4378,
author = {Ken Ono},
title = {The residue of p(n) modulo small primes},
year = {1998},
booktitle = {The Ramanujan Journal},
journal = {The Ramanujan Journal},
volume = {2},
number = {1-2},
pages = {47–54},
publisher = {Springer},
language = {eng},
}
@article{4379,
author = {Ken Ono},
title = {The partition function in arithmetic progressions},
year = {1998},
booktitle = {Mathematische Annalen},
journal = {Mathematische Annalen},
volume = {312},
number = {2},
pages = {251–260},
publisher = {Springer},
language = {eng},
}
@article{4380,
author = {Jim Haglund and Ken Ono and Lawrence Sze},
title = {Rook Theory and t-Cores},
year = {1998},
booktitle = {Journal of Combinatorial Theory, Series A},
journal = {Journal of Combinatorial Theory, Series A},
volume = {84},
number = {1},
pages = {9–37},
publisher = {Elsevier},
language = {eng},
}
@article{4381,
author = {Ken Ono and Christopher Skinner},
title = {Corrigendum to "Fourier coefficients of half-integral weight
modular forms modulo $\ell$"},
year = {1998},
booktitle = {Annals of Mathematics},
journal = {Annals of Mathematics},
volume = {148},
number = {1},
pages = {361–361},
publisher = {Princeton University and the Institute for Advanced Study},
language = {eng},
}
@article{4382,
author = {Ken Ono and Christopher Skinner},
title = {Non-vanishing of quadratic twists of modular L-functions},
year = {1998},
booktitle = {Inventiones mathematicae},
journal = {Inventiones mathematicae},
volume = {134},
number = {3},
pages = {651–660},
publisher = {Springer},
language = {eng},
}
@conference{4383,
author = {Ken Ono and Soundararajan},
title = {Integers Represented by Ternary Quadratic Forms},
year = {1998},
booktitle = {Number theory: Fifth Conference of the Canadian Number
Theory Association, August 17-22, 1996, Carleton University, Ottawa,
Ontario, Canada},
journal = {Number theory: Fifth Conference of the Canadian Number Theory
Association, August 17-22, 1996, Carleton University, Ottawa, Ontario,
Canada},
volume = {19},
pages = {281},
publisher = {Amer Mathematical Society},
language = {eng},
}
@article{4384,
author = {Kevin James and Ken Ono},
title = {A note on the irreducibility of Hecke polynomials},
year = {1998},
booktitle = {Journal of Number Theory},
journal = {Journal of Number Theory},
volume = {73},
number = {2},
pages = {527–532},
publisher = {Academic Press},
language = {eng},
}
@article{4385,
author = {Ono and Hendrick and James and Kohnene and Vatsal and Skinner},
title = {Nonvanishing of values of modular L-functions and some
applications},
year = {1999},
booktitle = {Proceedings of Topics in Number Theory, Kluwer Academic
Publishers},
journal = {Proceedings of Topics in Number Theory, Kluwer Academic
Publishers},
pages = {115-126},
language = {eng},
}
@inbook{4386,
author = {James Haglund and Ken Ono and David Wagner},
title = {Theorems and conjectures involving rook polynomials with only
real zeros},
year = {1999},
booktitle = {Topics in number theory},
journal = {Topics in number theory},
pages = {207–221},
publisher = {Springer},
language = {eng},
}
@article{4387,
author = {Winfried Kohnen and Ken Ono},
title = {Indivisibility of class numbers of imaginary quadratic fields
and orders of Tate-Shafarevich groups of elliptic curves with complex
multiplication},
year = {1999},
booktitle = {Inventiones mathematicae},
journal = {Inventiones mathematicae},
volume = {135},
number = {2},
pages = {387–398},
publisher = {Springer},
language = {eng},
}
@article{4388,
author = {Kevin James and Ken Ono},
title = {Selmer groups of quadratic twists of elliptic curves},
year = {1999},
booktitle = {Mathematische Annalen},
journal = {Mathematische Annalen},
volume = {314},
number = {1},
pages = {1–17},
publisher = {Springer},
language = {eng},
}
@inbook{4389,
author = {Bruce Berndt and Ken Ono},
title = {Ramanujan’s unpublished manuscript on the partition and tau
functions with proofs and commentary},
year = {2001},
booktitle = {The Andrews Festschrift},
journal = {The Andrews Festschrift},
pages = {39–110},
publisher = {Springer},
language = {eng},
}
@article{4390,
author = {Ken Ono},
title = {On the circular summation of the eleventh powers of Ramanujan's
theta function},
year = {1999},
booktitle = {Journal of Number Theory},
journal = {Journal of Number Theory},
volume = {76},
number = {1},
pages = {62–65},
publisher = {Elsevier},
language = {eng},
}
@article{4391,
author = {Ken Ono},
title = {Indivisibility of class numbers of real quadratic fields},
year = {1999},
booktitle = {Compositio Mathematica},
journal = {Compositio Mathematica},
volume = {119},
number = {1},
pages = {1–11},
publisher = {London Mathematical Society},
language = {eng},
}
@article{4392,
author = {Li Guo and Ken Ono},
title = {The partition function and arithmetic of certain modular
L-functions},
year = {1999},
booktitle = {International Mathematics Research Notices},
journal = {International Mathematics Research Notices},
volume = {1999},
number = {21},
pages = {1179–1197},
publisher = {[Durham, NC]: Duke University Press,[1991]-},
language = {eng},
}
@article{4393,
author = {Ken Ono},
title = {Distribution of the partition function modulo m},
year = {2000},
booktitle = {Annals of Mathematics},
journal = {Annals of Mathematics},
volume = {151},
number = {1},
pages = {293–307},
publisher = {PRINCETON UNIVERSITY},
language = {eng},
}
@article{4394,
author = {Ahlgreen and Ken Ono},
title = {A Gaussian hypergeometric series evaluation and Apery number
congruences},
year = {2000},
booktitle = {Journal fur die Reine und Angewandte Mathematik},
journal = {Journal fur die Reine und Angewandte Mathematik},
volume = {518},
pages = {187–212},
publisher = {Berlin, W. de Gruyter.},
language = {eng},
}
@article{4395,
author = {Scott Ahlgren and Ken Ono},
title = {Modularity of a certain Calabi-Yau threefold},
year = {2000},
booktitle = {Monatshefte für Mathematik},
journal = {Monatshefte für Mathematik},
volume = {129},
number = {3},
pages = {177–190},
publisher = {Springer},
language = {eng},
}
@article{4396,
author = {Jorge Jimenez Urroz and Ken Ono},
title = {On" good" half-integral weight modular forms},
year = {2000},
booktitle = {Mathematical Research Letters},
journal = {Mathematical Research Letters},
volume = {7},
number = {2/3},
pages = {205–212},
publisher = {International Press},
language = {eng},
}
@article{4397,
author = {Ken Ono and David Penniston},
title = {The 2-adic behavior of the number of partitions into distinct
parts},
year = {2000},
booktitle = {Journal of Combinatorial Theory, Series A},
journal = {Journal of Combinatorial Theory, Series A},
volume = {92},
number = {2},
pages = {138–157},
publisher = {Elsevier},
language = {eng},
}
@article{4398,
author = {Ken Ono},
title = {Nonvanishing of quadratic twists of modular L-functions and
applications to elliptic curves},
year = {2001},
booktitle = {Journal fur die reine und angewandte Mathematik},
journal = {Journal fur die reine und angewandte Mathematik},
pages = {81–98},
publisher = {WALTER DE GRUYTER},
language = {eng},
}
@inbook{4399,
author = {Ken Ono},
title = {Differential endomorphisms for modular forms on Gamma_0(4)},
year = {1999},
booktitle = {Symbolic Computation, Number Theory, Special Functions,
Physics and Combinatorics},
journal = {Symbolic Computation, Number Theory, Special Functions,
Physics and Combinatorics},
pages = {223–229},
publisher = {Springer},
language = {eng},
}
@article{4400,
author = {George Andrews and Jorge Jiménez-Urroz and Ken Ono and
others},
title = {q-series identities and values of certain L-functions},
year = {2001},
booktitle = {Duke Mathematical Journal},
journal = {Duke Mathematical Journal},
volume = {108},
number = {3},
pages = {395–419},
publisher = {Duke University Press},
language = {eng},
}
@article{4401,
author = {Ono and Penniston},
title = {Corrigendum: The 2-adic behavior of the number of partitions
into distinct parts},
year = {2001},
booktitle = {Journal of Combinatorial Theory},
journal = {Journal of Combinatorial Theory},
volume = {95(A)},
pages = {196},
language = {eng},
}
@article{4402,
author = {Matthew Boylan and Ken Ono},
title = {Parity of the partition function in arithmetic progressions,
II},
year = {2001},
booktitle = {Bulletin of the London Mathematical Society},
journal = {Bulletin of the London Mathematical Society},
volume = {33},
number = {5},
pages = {558–564},
publisher = {Cambridge University Press},
language = {eng},
}
@article{4403,
author = {Scott Ahlgren and Ken Ono},
title = {Addition and counting: the arithmetic of partitions},
year = {2001},
booktitle = {Notices of the AMS},
journal = {Notices of the AMS},
volume = {48},
number = {9},
pages = {978–984},
language = {eng},
}
@article{4404,
author = {Ono},
title = {Arithmetic of the partition function},
year = {2000},
booktitle = {Proceedings of the NATO Advances Study Institute on Special
Functions, Special Functions},
journal = {Proceedings of the NATO Advances Study Institute on Special
Functions, Special Functions},
pages = {243-253},
language = {eng},
}
@article{4405,
author = {Antal Balog and Christine Bessenrodt and Jørn Olsson and Ken
Ono},
title = {Prime power degree representations of the symmetric and
alternating groups},
year = {2001},
booktitle = {Journal of the London Mathematical Society},
journal = {Journal of the London Mathematical Society},
volume = {64},
number = {2},
pages = {344–356},
publisher = {Cambridge University Press},
language = {eng},
}
@article{4406,
author = {Scott Ahlgren and Ken Ono},
title = {Congruence properties for the partition function},
year = {2001},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {98},
number = {23},
pages = {12882–12884},
publisher = {National Acad Sciences},
language = {eng},
}
@article{4407,
author = {Antal Balog and Ken Ono},
title = {The Chebotarev density theorem in short intervals and some
questions of Serre},
year = {2001},
booktitle = {Journal of Number Theory},
journal = {Journal of Number Theory},
volume = {91},
number = {2},
pages = {356–371},
publisher = {Academic Press},
language = {eng},
}
@article{4408,
author = {Scott Ahlgren and Ken Ono},
title = {Congruences and conjectures for the partition function},
year = {2001},
booktitle = {Contemporary Mathematics},
journal = {Contemporary Mathematics},
volume = {291},
pages = {1–10},
publisher = {Providence, RI; American Mathematical Society; 1999},
language = {eng},
}
@article{4409,
author = {Jeremy Lovejoy and Ken Ono},
title = {Extension of Ramanujan's congruences for the partition function
modulo powers of 5},
year = {2002},
booktitle = {Journal fur die Reine und Angewandte Mathematik},
journal = {Journal fur die Reine und Angewandte Mathematik},
volume = {542},
pages = {123–132},
publisher = {Berlin, W. de Gruyter.},
language = {eng},
}
@article{4410,
author = {Scott Ahlgren and Ken Ono and David Penniston},
title = {Zeta functions of an infinite family of K3 surfaces},
year = {2002},
booktitle = {American journal of mathematics},
journal = {American journal of mathematics},
volume = {124},
number = {2},
pages = {353–368},
publisher = {Johns Hopkins University Press},
language = {eng},
}
@article{4411,
author = {Ken Ono},
title = {Representations of integers as sums of squares},
year = {2002},
booktitle = {Journal of Number Theory},
journal = {Journal of Number Theory},
volume = {95},
number = {2},
pages = {253–258},
publisher = {Academic Press},
language = {eng},
}
@article{4412,
author = {Ono and Coogan},
title = {A q-series identity and the arthmetic of Hurwitz
zeta-functions},
year = {2003},
booktitle = {Proceedings of the American Mathematical Society},
journal = {Proceedings of the American Mathematical Society},
volume = {131},
pages = {719-724},
language = {eng},
}
@article{4413,
author = {Ken Ono and Matthew Papanikolas},
title = {Quadratic twists of modular forms and elliptic curves},
year = {2002},
booktitle = {Number Theory for the Millennium, III (Urbana, Ill., 2000)},
journal = {Number Theory for the Millennium, III (Urbana, Ill., 2000)},
pages = {73–85},
language = {eng},
}
@article{4414,
author = {Ken Ono and David Penniston},
title = {Congruences for 3F2 hypergeometric functions over finite
fields},
year = {2002},
booktitle = {Illinois J. Math},
journal = {Illinois J. Math},
volume = {46},
pages = {679–684},
language = {eng},
}
@article{4415,
author = {Scott Ahlgren and Ken Ono},
title = {Weierstrass points on X_0(p) and supersingular j-invariants},
year = {2003},
booktitle = {Mathematische Annalen},
journal = {Mathematische Annalen},
volume = {325},
number = {2},
pages = {355–368},
publisher = {Springer},
language = {eng},
}
@article{4416,
author = {Jan Bruinier and Ken Ono},
title = {Coefficients of half-integral weight modular forms},
year = {2003},
booktitle = {Journal of Number Theory},
journal = {Journal of Number Theory},
volume = {99},
number = {1},
pages = {164–179},
publisher = {Elsevier},
language = {eng},
}
@article{4417,
author = {William McGraw and Ken Ono},
title = {Modular form congruences and Selmer groups},
year = {2003},
booktitle = {Journal of the London Mathematical Society},
journal = {Journal of the London Mathematical Society},
volume = {67},
number = {2},
pages = {302–318},
publisher = {Cambridge University Press},
language = {eng},
}
@article{4418,
author = {Antal Balog and William McGraw and Ken Ono},
title = {The arithmetic of the coefficients of half-integral weight
Eisenstein series},
year = {2003},
booktitle = {Acta Arithmetica},
journal = {Acta Arithmetica},
volume = {107},
number = {4},
pages = {337–344},
publisher = {THE INSTITUTE OF MATHEMATICS},
language = {eng},
}
@article{4419,
author = {Jeremy Lovejoy and Ken Ono},
title = {Hypergeometric generating functions for values of Dirichlet and
other L functions},
year = {2003},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {100},
number = {12},
pages = {6904–6909},
publisher = {National Acad Sciences},
language = {eng},
}
@article{4422,
author = {George Andrews and Li Guo and William Keigher and Ken Ono},
title = {Baxter algebras and Hopf algebras},
year = {2003},
booktitle = {Transactions of the American Mathematical Society},
journal = {Transactions of the American Mathematical Society},
volume = {355},
number = {11},
pages = {4639–4656},
language = {eng},
}
@article{4423,
author = {Bruce Berndt and Winfried Kohnen and Ken Ono},
title = {The life and work of R. A. Rankin (1915–2001)},
year = {2003},
booktitle = {The Ramanujan Journal},
journal = {The Ramanujan Journal},
volume = {7},
number = {1-3},
pages = {9–38},
publisher = {Springer},
language = {eng},
}
@article{4424,
author = {Antal Balog and Ken Ono and others},
title = {Elements of class groups and Shafarevich-Tate groups of elliptic
curves},
year = {2003},
booktitle = {Duke Mathematical Journal},
journal = {Duke Mathematical Journal},
volume = {120},
number = {1},
pages = {35–63},
publisher = {Duke University Press},
language = {eng},
}
@article{4425,
author = {Jan Bruinier and Ken Ono},
title = {The arithmetic of Borcherds' exponents},
year = {2003},
booktitle = {Mathematische Annalen},
journal = {Mathematische Annalen},
volume = {327},
number = {2},
pages = {293–303},
publisher = {Springer},
language = {eng},
}
@inbook{4428,
author = {Ken Ono and Matthew Papanikolas},
title = {p-adic properties of values of the modular j-function},
year = {2003},
booktitle = {Galois theory and modular forms},
journal = {Galois theory and modular forms},
pages = {357–365},
publisher = {Springer},
language = {eng},
}
@article{4429,
author = {Jan Bruinier and Winfried Kohnen and Ken Ono},
title = {The arithmetic of the values of modular functions and the
divisors of modular forms},
year = {2004},
booktitle = {Compositio Mathematica},
journal = {Compositio Mathematica},
volume = {140},
number = {3},
pages = {552–566},
publisher = {London Mathematical Society},
language = {eng},
}
@article{4432,
author = {Karl Mahlburg and Ken Ono},
title = {Arithmetic of certain hypergeometric modular forms},
year = {2004},
booktitle = {Acta Arithmetica},
journal = {Acta Arithmetica},
volume = {113},
number = {1},
pages = {39–55},
publisher = {THE INSTITUTE OF MATHEMATICS},
language = {eng},
}
@article{4433,
author = {Ken Ono},
title = {Hecke Operators and the q-expansion of modular forms},
year = {2004},
booktitle = {Number theory},
journal = {Number theory},
pages = {229–235},
language = {eng},
}
@article{4434,
author = {Scott Ahlgren and Ken Ono},
title = {Arithmetic of singular moduli and class polynomials},
year = {2005},
booktitle = {Compositio Mathematica},
journal = {Compositio Mathematica},
volume = {141},
number = {2},
pages = {293–312},
publisher = {London Mathematical Society},
language = {eng},
}
@article{4435,
author = {Sharon Frechette and Ken Ono and Matthew Papanikolas},
title = {Gaussian hypergeometric functions and traces of Hecke
operators},
year = {2004},
booktitle = {International Mathematics Research Notices},
journal = {International Mathematics Research Notices},
volume = {2004},
number = {60},
pages = {3233–3262},
publisher = {Hindawi Publishing Corporation},
language = {eng},
}
@article{4436,
author = {Ono and Bruinier},
title = {Corrigendum: Coefficients of half-integral weight modular
forms},
year = {2004},
booktitle = {Journal of Number Theory},
journal = {Journal of Number Theory},
volume = {104},
pages = {378-379},
language = {eng},
}
@article{4437,
author = {Ken Ono and Yuichiro Taguchi},
title = {2-adic properties of certain modular forms and their
applications to arithmetic functions},
year = {2005},
booktitle = {International Journal of Number Theory},
journal = {International Journal of Number Theory},
volume = {1},
number = {01},
pages = {75–101},
publisher = {World Scientific},
language = {eng},
}
@article{4438,
author = {Ken Ono},
title = {Partitions and McKay numbers for Sn},
year = {2004},
booktitle = {Journal of Combinatorial Theory, Series A},
journal = {Journal of Combinatorial Theory, Series A},
volume = {108},
number = {2},
pages = {185–197},
publisher = {Elsevier},
language = {eng},
}
@article{4439,
author = {Sharon Frechette and Ken Ono and Matthew Papanikolas},
title = {Combinatorics of traces of Hecke operators},
year = {2004},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {101},
number = {49},
pages = {17016–17020},
publisher = {National Acad Sciences},
language = {eng},
}
@article{4440,
author = {Youngju Choie and Winfried Kohnen and Ken Ono},
title = {Linear relations between modular form coefficients and
non-ordinary primes},
year = {2005},
booktitle = {Bulletin of the London Mathematical Society},
journal = {Bulletin of the London Mathematical Society},
volume = {37},
number = {3},
pages = {335–341},
publisher = {Cambridge University Press},
language = {eng},
}
@article{4441,
author = {Jan Hendrik Bruinier and Paul Jenkins and Ken Ono},
title = {Hilbert class polynomials and traces of singular moduli},
year = {2006},
booktitle = {Mathematische Annalen},
journal = {Mathematische Annalen},
volume = {334},
number = {2},
pages = {373–393},
publisher = {Springer},
language = {eng},
}
@article{4442,
author = {Krishnaswami Alladi and George Andrews and Ken Ono and Richard
McIntosh},
title = {On the work of Basil Gordon},
year = {2006},
booktitle = {Journal of Combinatorial Theory, Series A},
journal = {Journal of Combinatorial Theory, Series A},
volume = {113},
number = {1},
pages = {21–38},
publisher = {Elsevier},
language = {eng},
}
@article{4443,
author = {Noam Elkies and Ken Ono and Tonghai Yang},
title = {Reduction of CM elliptic curves and modular function
congruences},
year = {2005},
booktitle = {International Mathematics Research Notices},
journal = {International Mathematics Research Notices},
volume = {2005},
number = {44},
pages = {2695–2707},
publisher = {Hindawi Publishing Corporation},
language = {eng},
}
@article{4444,
author = {Kathrin Bringmann and Ken Ono},
title = {Identities for traces of singular moduli},
year = {2005},
booktitle = {Acta Arithmetica},
journal = {Acta Arithmetica},
volume = {119},
number = {4},
pages = {317-327},
publisher = {THE INSTITUTE OF MATHEMATICS},
language = {eng},
}
@article{4445,
author = {Antun Milas and Eric Mortenson and Ken Ono},
title = {Number theoretic properties of Wronskians of Andrews–Gordon
series},
year = {2008},
booktitle = {International Journal of Number Theory},
journal = {International Journal of Number Theory},
volume = {4},
number = {02},
pages = {323–337},
publisher = {World Scientific},
language = {eng},
}
@article{4446,
author = {Kathrin Bringmann and Ken Ono and Jeremy Rouse},
title = {Traces of singular moduli on Hilbert modular surfaces},
year = {2005},
booktitle = {International Mathematics Research Notices},
journal = {International Mathematics Research Notices},
volume = {2005},
number = {47},
pages = {2891–2912},
publisher = {OUP},
language = {eng},
}
@article{4447,
author = {Kathrin Bringmann and Ken Ono},
title = {Arithmetic properties of coefficients of half-integral weight
Maass–Poincare series},
year = {2007},
booktitle = {Mathematische Annalen},
journal = {Mathematische Annalen},
volume = {337},
number = {3},
pages = {591–612},
publisher = {Springer},
language = {eng},
}
@article{4448,
author = {Kathrin Bringmann and Ken Ono},
title = {An arithmetic formula for the partition function},
year = {2007},
booktitle = {Proceedings of the American Mathematical Society},
journal = {Proceedings of the American Mathematical Society},
volume = {135},
number = {11},
pages = {3507–3514},
publisher = {JSTOR},
language = {eng},
}
@article{4449,
author = {Kathrin Bringmann and Ken Ono},
title = {The f(q) mock theta function conjecture and partition ranks},
year = {2006},
booktitle = {Inventiones mathematicae},
journal = {Inventiones mathematicae},
volume = {165},
number = {2},
pages = {243–266},
publisher = {Springer},
language = {eng},
}
@inbook{4450,
author = {Ken Ono},
title = {Singular moduli generating functions for modular curves and
surfaces},
year = {2007},
booktitle = {Analytic Number Theory},
journal = {Analytic Number Theory},
volume = {7},
pages = {185–206},
publisher = {Amer. Math. Soc. Providence, RI},
language = {eng},
}
@article{4451,
author = {Kathrin Bringmann and Ken Ono},
title = {Dyson’s ranks and Maass forms},
year = {2010},
booktitle = {Annals of Mathematics},
journal = {Annals of Mathematics},
volume = {171},
number = {1},
pages = {419–449},
publisher = {Princeton University and the Institute for Advanced Study},
language = {eng},
}
@article{4452,
author = {George Andrews and Ken Ono},
title = {Ramanujan's congruences and Dyson's crank},
year = {2005},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {102},
number = {43},
pages = {15277–15277},
publisher = {National Acad Sciences},
language = {eng},
}
@article{4454,
author = {Ken Ono},
title = {Honoring a gift from Kumbakonam},
year = {2006},
booktitle = {Notices of the American Mathematical Society},
journal = {Notices of the American Mathematical Society},
volume = {53},
number = {6},
pages = {640-651},
language = {eng},
}
@article{4455,
author = {Paul Jenkins and Ken Ono},
title = {Divisibility criteria for class numbers of imaginary quadratic
fields},
year = {2006},
booktitle = {Acta Arithmetica},
journal = {Acta Arithmetica},
volume = {125},
number = {3},
pages = {285-289},
publisher = {THE INSTITUTE OF MATHEMATICS},
language = {eng},
}
@article{4456,
author = {Kathrin Bringmann and Amanda Folsom and Ken Ono},
title = {q-series and weight 3/2 Maass forms},
year = {2009},
booktitle = {Compositio Mathematica},
journal = {Compositio Mathematica},
volume = {145},
number = {3},
pages = {541–552},
publisher = {London Mathematical Society},
language = {eng},
}
@article{4457,
author = {Kathrin Bringmann and Ken Ono},
title = {Lifting cusp forms to Maass forms with an application to
partitions},
year = {2007},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {104},
number = {10},
pages = {3725–3731},
publisher = {National Acad Sciences},
language = {eng},
}
@article{4458,
author = {Amanda Folsom and Ken Ono},
title = {Duality involving the mock theta function f(q)},
year = {2008},
booktitle = {Journal of the London Mathematical Society},
journal = {Journal of the London Mathematical Society},
volume = {77},
number = {2},
pages = {320–334},
publisher = {Oxford University Press},
language = {eng},
}
@article{4459,
author = {Kathrin Bringmann and Ken Ono and Robert Rhoades},
title = {Eulerian series as modular forms},
year = {2008},
booktitle = {Journal of the American Mathematical Society},
journal = {Journal of the American Mathematical Society},
volume = {21},
number = {4},
pages = {1085–1104},
language = {eng},
}
@article{4460,
author = {Jan Bruinier and Ken Ono},
title = {Heegner divisors, L-functions and harmonic weak Maass forms},
year = {2010},
booktitle = {Annals of Mathematics, arXiv preprint arXiv:0710.0283},
journal = {Annals of Mathematics, arXiv preprint arXiv:0710.0283},
volume = {172},
pages = {2135-2181},
language = {eng},
}
@article{4461,
author = {Ken Ono},
title = {Algebraicity of harmonic Maass forms},
year = {2009},
booktitle = {The Ramanujan Journal},
journal = {The Ramanujan Journal},
volume = {20},
number = {3},
pages = {297},
publisher = {Springer},
language = {eng},
}
@article{4462,
author = {Amanda Folsom and Ken Ono},
title = {The spt-function of Andrews},
year = {2008},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {105},
number = {51},
pages = {20152–20156},
publisher = {National Acad Sciences},
language = {eng},
}
@conference{4463,
author = {Ken Ono},
title = {A mock theta function for the Delta-function},
year = {2009},
booktitle = {Proceedings of the 2007 Integers Conference, de Gruyter,
Berlin},
journal = {Proceedings of the 2007 Integers Conference, de Gruyter,
Berlin},
pages = {141–156},
language = {eng},
}
@article{4464,
author = {Jan Bruinier and Ken Ono and Robert Rhoades},
title = {Differential operators for harmonic weak Maass forms and the
vanishing of Hecke eigenvalues},
year = {2008},
booktitle = {Mathematische Annalen},
journal = {Mathematische Annalen},
volume = {342},
number = {3},
pages = {673–693},
publisher = {Springer},
language = {eng},
}
@article{4465,
author = {Ken Ono},
title = {Unearthing the visions of a master: harmonic Maass forms and
number theory},
year = {2009},
booktitle = {Harvard-MIT Current Developments in Mathematics},
journal = {Harvard-MIT Current Developments in Mathematics},
volume = {2008},
pages = {347–454},
publisher = {International Press of Boston},
language = {eng},
}
@inbook{4466,
author = {Kathrin Bringmann and Ken Ono},
title = {Coefficients of harmonic Maass forms},
year = {2012},
booktitle = {Partitions, q-series, and modular forms},
journal = {Partitions, q-series, and modular forms},
pages = {23–38},
publisher = {Springer},
language = {eng},
}
@article{4467,
author = {Maria Monks and Ken Ono},
title = {Modular forms arising from Q(n) and Dyson's rank},
year = {2011},
booktitle = {Advances in Applied Mathematics},
journal = {Advances in Applied Mathematics},
volume = {46},
number = {1-4},
pages = {457–466},
publisher = {Elsevier},
language = {eng},
}
@article{4468,
author = {Guo-Niu Han and Ken Ono},
title = {Hook lengths and 3-cores},
year = {2011},
booktitle = {Annals of Combinatorics},
journal = {Annals of Combinatorics},
volume = {15},
number = {2},
pages = {305–312},
publisher = {Springer},
language = {eng},
}
@article{4469,
author = {Andreas Malmendier and Ken Ono},
title = {SO (3)–Donaldson invariants of CP2 and mock theta functions},
year = {2012},
booktitle = {Geometry & Topology},
journal = {Geometry & Topology},
volume = {16},
number = {3},
pages = {1767–1833},
publisher = {Mathematical Sciences Publishers},
language = {eng},
}
@article{4470,
author = {Ono and Folsom},
title = {Corrigendum: Duality involving the mock theta function f(q)},
year = {2009},
booktitle = {Journal of the London Mathematical Society},
journal = {Journal of the London Mathematical Society},
volume = {79},
pages = {544},
language = {eng},
}
@article{4471,
author = {Ken Ono},
title = {Lehmer's Conjecture on Ramanujan's Tau-function},
year = {2008},
booktitle = {Journal of the Indian Mathematical Society},
journal = {Journal of the Indian Mathematical Society},
volume = {74},
pages = {149},
language = {eng},
}
@article{4472,
author = {Riad Masri and Ken Ono},
title = {Probabilities as Values of Modular Forms and Continued
Fractions},
year = {2009},
booktitle = {International Journal of Mathematics and Mathematical
Sciences},
journal = {International Journal of Mathematics and Mathematical
Sciences},
volume = {2009},
publisher = {Hindawi},
language = {eng},
}
@article{4473,
author = {Kathrin Bringmann and Ken Ono},
title = {Some characters of Kac and Wakimoto and nonholomorphic modular
functions},
year = {2009},
booktitle = {Mathematische Annalen},
journal = {Mathematische Annalen},
volume = {345},
number = {3},
pages = {547–558},
publisher = {Springer},
language = {eng},
}
@article{4474,
author = {Jan Bruinier and Ken Ono},
title = {Identities and congruences for Ramanujan’s Omega(q)},
year = {2010},
booktitle = {The Ramanujan Journal},
journal = {The Ramanujan Journal},
volume = {23},
number = {1-3},
pages = {151–157},
publisher = {Springer},
language = {eng},
}
@article{4475,
author = {Jan Bruinier and Ken Ono and Robert Rhoades},
title = {Differential operators for harmonic weak Maass forms and the
vanishing of Hecke eigenvalues},
year = {2009},
booktitle = {Mathematische Annalen},
journal = {Mathematische Annalen},
volume = {345},
number = {1},
pages = {31–31},
publisher = {Springer},
language = {eng},
}
@article{4476,
author = {Pavel Guerzhoy and Zachary Kent and Ken Ono},
title = {p-adic coupling of mock modular forms and shadows},
year = {2010},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {107},
number = {14},
pages = {6169–6174},
publisher = {National Acad Sciences},
language = {eng},
}
@article{4477,
author = {Ken Ono},
title = {Parity of the partition function},
year = {2010},
booktitle = {Advances in Mathematics},
journal = {Advances in Mathematics},
volume = {225},
number = {1},
pages = {349–366},
publisher = {Elsevier},
language = {eng},
}
@article{4478,
author = {Ken Ono},
title = {The last words of a genius},
year = {2010},
booktitle = {Notices of the American Mathematical Society},
journal = {Notices of the American Mathematical Society},
volume = {57},
pages = {1410-1419},
language = {eng},
}
@article{4480,
author = {Ahmad El-Guindy and Ken Ono},
title = {Gauss’s 2F1 hypergeometric function and the congruent number
elliptic curve},
year = {2010},
booktitle = {Acta Arith},
journal = {Acta Arith},
volume = {144},
number = {3},
pages = {231–239},
publisher = {Citeseer},
language = {eng},
}
@article{4481,
author = {Ahmad El-Guindy and Ken Ono},
title = {Hasse invariants for the Clausen elliptic curves},
year = {2013},
booktitle = {The Ramanujan Journal},
journal = {The Ramanujan Journal},
volume = {31},
number = {1-2},
pages = {3–13},
publisher = {Springer},
language = {eng},
}
@article{4482,
author = {Kathrin Bringmann and Pavel Guerzhoy and Zachary Kent and Ken
Ono},
title = {Eichler–Shimura theory for mock modular forms},
year = {2013},
booktitle = {Mathematische Annalen},
journal = {Mathematische Annalen},
volume = {355},
number = {3},
pages = {1085–1121},
publisher = {Springer},
language = {eng},
}
@article{4483,
author = {Ken Ono},
title = {Congruences for the Andrews spt function},
year = {2011},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {108},
number = {2},
pages = {473–476},
publisher = {National Acad Sciences},
language = {eng},
}
@article{4484,
author = {Ken Ono},
title = {The partition function and Hecke operators},
year = {2011},
booktitle = {Advances in Mathematics},
journal = {Advances in Mathematics},
volume = {228},
number = {1},
pages = {527–534},
publisher = {Elsevier},
language = {eng},
}
@article{4485,
author = {Amanda Folsom and Zachary Kent and Ken Ono},
title = {L-adic properties of the partition function},
year = {2012},
booktitle = {Advances in Mathematics},
journal = {Advances in Mathematics},
volume = {229},
number = {3},
pages = {1586–1609},
publisher = {Elsevier},
language = {eng},
}
@article{4486,
author = {Jan Hendrik Bruinier and Ken Ono},
title = {Algebraic formulas for the coefficients of half-integral weight
harmonic weak Maass forms},
year = {2013},
booktitle = {Advances in Mathematics},
journal = {Advances in Mathematics},
volume = {246},
pages = {198–219},
publisher = {Elsevier},
language = {eng},
}
@article{4487,
author = {Ken Ono and Nick Ramsey},
title = {A mod L Atkin–Lehner theorem and applications},
year = {2012},
booktitle = {Archiv der Mathematik},
journal = {Archiv der Mathematik},
volume = {98},
number = {1},
pages = {25–36},
publisher = {Springer},
language = {eng},
}
@article{4488,
author = {Jan Hendrik Bruinier and Ken Ono and Andrew Sutherland},
title = {Class polynomials for nonholomorphic modular functions},
year = {2016},
booktitle = {Journal of Number Theory},
journal = {Journal of Number Theory},
volume = {161},
pages = {204–229},
publisher = {Elsevier},
language = {eng},
}
@conference{4489,
author = {Michael Griffin and Andreas Malmendier and Ken Ono},
title = {SU (2)-Donaldson invariants of the complex projective plane},
year = {2015},
booktitle = {Forum Mathematicum},
journal = {Forum Mathematicum},
volume = {27},
number = {4},
pages = {2003–2023},
publisher = {De Gruyter},
language = {eng},
}
@article{4490,
author = {Ono and Alladi and Andrews and Guralnick and Rothschild},
title = {``Tribute to Basil Gordon''},
year = {2013},
booktitle = {Notices of the American Mathematical Society},
journal = {Notices of the American Mathematical Society},
volume = {60},
number = {7},
pages = {856-865},
language = {eng},
}
@article{4491,
author = {Krishnaswami Alladi},
title = {Srinivasa Ramanujan: Going Strong at 125, Part II},
year = {2013},
booktitle = {Notices of the AMS},
journal = {Notices of the AMS},
volume = {60},
number = {1},
language = {eng},
}
@article{4492,
author = {Jennifer Bryson and Ken Ono and Sarah Pitman and Robert
Rhoades},
title = {Unimodal sequences and quantum and mock modular forms},
year = {2012},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {109},
number = {40},
pages = {16063–16067},
publisher = {National Acad Sciences},
language = {eng},
}
@article{4493,
author = {Andreas Malmendier and Ken Ono},
title = {Moonshine for M24 and Donaldson invariants for CP^2},
year = {2012},
booktitle = {Communications in Number Theory and Physics},
journal = {Communications in Number Theory and Physics},
volume = {6},
number = {4},
pages = {759–770},
publisher = {International Press of Boston},
language = {eng},
}
@article{4494,
author = {Amanda Folsom and Ken Ono and Robert Rhoades},
title = {Mock theta functions and quantum modular forms},
year = {2013},
booktitle = {Forum of mathematics, Pi},
journal = {Forum of mathematics, Pi},
volume = {1},
publisher = {Cambridge University Press},
language = {eng},
}
@conference{4495,
author = {Jan Hendrik Bruinier and Amanda Folsom and Zachary Kent and Ken
Ono},
title = {Recent Work on the Partition Function},
year = {2013},
booktitle = {Proceedings of the Legacy of Ramanujan Conference, New
Delhi,(Bruce C. Berndt and Dipendra Prasad, eds.), Ramanujan Mathematical
Society Lecture Notes},
journal = {Proceedings of the Legacy of Ramanujan Conference, New
Delhi,(Bruce C. Berndt and Dipendra Prasad, eds.), Ramanujan Mathematical
Society Lecture Notes},
volume = {20},
pages = {139–151},
language = {eng},
}
@inbook{4496,
author = {Amanda Folsom and Ken Ono and Robert Rhoades},
title = {Ramanujan’s radial limits},
year = {2014},
booktitle = {Ramanujan 125},
journal = {Ramanujan 125},
volume = {627},
pages = {91–102},
publisher = {Amer. Math. Soc. Providence, RI},
language = {eng},
}
@article{4497,
author = {Michael Griffin and Ken Ono and Larry Rolen},
title = {Ramanujan’s mock theta functions},
year = {2013},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {110},
number = {15},
pages = {5765–5768},
publisher = {National Acad Sciences},
language = {eng},
}
@article{4498,
author = {Claudia Alfes and Michael Griffin and Ken Ono and Larry Rolen},
title = {Weierstrass mock modular forms and elliptic curves},
year = {2015},
booktitle = {Research in Number Theory},
journal = {Research in Number Theory},
volume = {1},
number = {1},
pages = {24},
publisher = {Springer},
language = {eng},
}
@article{4499,
author = {Ken Ono and Larry Rolen and Sarah Trebat-Leder},
title = {Classical and umbral moonshine: connections and $ p $-adic
properties},
year = {2015},
booktitle = {Journal of the Ramanujan Mathematical Society, arXiv
preprint arXiv:1403.3712},
journal = {Journal of the Ramanujan Mathematical Society, arXiv preprint
arXiv:1403.3712},
volume = {30},
pages = {135-159},
language = {eng},
}
@article{4500,
author = {Michael Griffin and Ken Ono and Ole Warnaar and others},
title = {A framework of Rogers–Ramanujan identities and their
arithmetic properties},
year = {2016},
booktitle = {Duke Mathematical Journal},
journal = {Duke Mathematical Journal},
volume = {165},
number = {8},
pages = {1475–1527},
publisher = {Duke University Press},
language = {eng},
}
@article{4501,
author = {Christine Bessenrodt and Ken Ono},
title = {Maximal multiplicative properties of partitions},
year = {2016},
booktitle = {Annals of Combinatorics},
journal = {Annals of Combinatorics},
volume = {20},
number = {1},
pages = {59–64},
publisher = {Springer},
language = {eng},
}
@article{4502,
author = {Michael Mertens and Ken Ono},
title = {Special values of shifted convolution Dirichlet series},
year = {2016},
booktitle = {Mathematika},
journal = {Mathematika},
volume = {62},
number = {1},
pages = {47–66},
publisher = {London Mathematical Society},
language = {eng},
}
@article{4503,
author = {Ono and John F. R and Griffin},
title = {Moonshine},
year = {2015},
booktitle = {Research in the Mathematical Sciences},
journal = {Research in the Mathematical Sciences},
volume = {2},
language = {eng},
}
@article{4504,
author = {Ono and Bringmann and Mertens},
title = {p-adic properties of modular shifted convolution Dirichlet
series},
year = {2016},
booktitle = {Proceedings of the American Mathematical Society},
journal = {Proceedings of the American Mathematical Society},
volume = {144},
pages = {1439-1452},
language = {eng},
}
@article{4505,
author = {John FR Duncan and Michael Griffin and Ken Ono},
title = {Proof of the umbral moonshine conjecture},
year = {2015},
booktitle = {Research in the Mathematical Sciences},
journal = {Research in the Mathematical Sciences},
volume = {2},
number = {1},
pages = {26},
publisher = {Springer},
language = {eng},
}
@article{4506,
author = {John FR Duncan and Ken Ono},
title = {The Jack Daniels problem},
year = {2016},
booktitle = {Journal of Number Theory},
journal = {Journal of Number Theory},
volume = {161},
pages = {230–239},
publisher = {Elsevier},
language = {eng},
}
@article{4507,
author = {Ken Ono and Sarah Trebat-Leder},
title = {The 1729 K3 surface},
year = {2016},
booktitle = {Research in Number Theory},
journal = {Research in Number Theory},
volume = {2},
number = {1},
pages = {26},
publisher = {Springer},
language = {eng},
}
@article{4508,
author = {Seokho Jin and Wenjun Ma and Ken Ono},
title = {A note on non-ordinary primes},
year = {2016},
booktitle = {Proceedings of the American Mathematical Society, arXiv
preprint arXiv:1511.06725},
journal = {Proceedings of the American Mathematical Society, arXiv
preprint arXiv:1511.06725},
volume = {144},
pages = {4591-4597},
language = {eng},
}
@article{4509,
author = {Seokho Jin and Wenjun Ma and Ken Ono and Kannan Soundararajan},
title = {Riemann hypothesis for period polynomials of modular forms},
year = {2016},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {113},
number = {10},
pages = {2603–2608},
publisher = {National Acad Sciences},
language = {eng},
}
@misc{4510,
author = {Ono and Rolen and Schneider},
title = {Explorations in the theory of partition zeta functions,
Exploring the Riemann Zeta Function, 190 years from Riemann’s Birth, ed.
H. Montgomery, A. Nikeghbali, M. Rassias},
year = {2017},
publisher = {Springer},
language = {eng},
}
@article{4511,
author = {Ken Ono and Larry Rolen and Florian Sprung},
title = {Zeta-polynomials for modular form periods},
year = {2017},
booktitle = {Advances in Mathematics},
journal = {Advances in Mathematics},
volume = {306},
pages = {328–343},
publisher = {Elsevier},
language = {eng},
}
@article{4512,
author = {Ono and Schneider},
title = {Why Ramanujan matters},
year = {2016},
booktitle = {Science and Film},
journal = {Science and Film},
language = {eng},
}
@article{4513,
author = {Ono and Schneider},
title = {The Man Who Knew Infinity: Why Ramanujan Matters},
year = {2016},
booktitle = {Ramanujan Mathematical Society Newsletter},
journal = {Ramanujan Mathematical Society Newsletter},
volume = {26},
number = {March-June 2016},
pages = {109-110},
language = {eng},
}
@article{4514,
author = {Kathrin Bringmann and Ben Kane and Steffen Löbrich and Ken Ono
and Larry Rolen},
title = {On divisors of modular forms},
year = {2018},
booktitle = {Advances in Mathematics},
journal = {Advances in Mathematics},
volume = {329},
pages = {541–554},
publisher = {Elsevier},
language = {eng},
}
@article{4515,
author = {Ono and Schneider},
title = {Why Ramanujan matters},
year = {2016},
booktitle = {Asia Pacific Mathematics Newsletter},
journal = {Asia Pacific Mathematics Newsletter},
volume = {6},
pages = {27-28},
language = {eng},
}
@article{4516,
author = {Kathrin Bringmann and Ben Kane and Steffen Löbrich and Ken Ono
and Larry Rolen},
title = {Number theoretic generalization of the monster denominator
formula},
year = {2017},
booktitle = {Journal of Physics A: Mathematical and Theoretical},
journal = {Journal of Physics A: Mathematical and Theoretical},
volume = {50},
number = {47},
pages = {473001},
publisher = {IOP Publishing},
language = {eng},
}
@article{4517,
author = {John FR Duncan and Michael Mertens and Ken Ono},
title = {O'Nan moonshine and arithmetic},
year = {2021},
booktitle = {American Journal of Mathematics (arXiv preprint
arXiv:1702.03516) 143 (2021), 1115-1159},
journal = {American Journal of Mathematics (arXiv preprint
arXiv:1702.03516) 143 (2021), 1115-1159},
language = {eng},
}
@conference{4518,
author = {Ken Ono and Robert Schneider and Ian Wagner},
title = {Partition-theoretic formulas for arithmetic densities},
year = {2017},
booktitle = {Gainesville International Number Theory Conference},
journal = {Gainesville International Number Theory Conference},
pages = {611–624},
publisher = {Springer},
language = {eng},
}
@article{4519,
author = {Ono},
title = {Review of "The G. H. Hardy Reader},
year = {2017},
booktitle = {The Hardy-Ramanujan Journal},
journal = {The Hardy-Ramanujan Journal},
volume = {40},
pages = {43-46},
language = {eng},
}
@article{4520,
author = {John FR Duncan and Michael Mertens and Ken Ono},
title = {Pariah moonshine},
year = {2017},
booktitle = {Nature communications},
journal = {Nature communications},
volume = {8},
number = {1},
pages = {670},
publisher = {Nature Publishing Group},
language = {eng},
}
@article{4521,
author = {Ono},
title = {Mentoring Graduate Students},
year = {2019},
booktitle = {Notices of the American Mathematical Society},
journal = {Notices of the American Mathematical Society},
volume = {66},
number = {8},
pages = {1302-1303},
language = {eng},
}
@article{4522,
author = {Ono},
title = {A word from the Vice President},
year = {2019},
booktitle = {Notices of the American Mathematical Society},
journal = {Notices of the American Mathematical Society},
volume = {66},
language = {eng},
}
@inbook{4523,
author = {Madeline Locus Dawsey and Ken Ono},
title = {CM Evaluations of the Goswami-Sun Series},
year = {2019},
booktitle = {Elliptic Integrals, Elliptic Functions and Modular Forms in
Quantum Field Theory},
journal = {Elliptic Integrals, Elliptic Functions and Modular Forms in
Quantum Field Theory},
pages = {183–193},
publisher = {Springer},
language = {eng},
}
@article{4524,
author = {Ken Ono and Larry Rolen},
title = {On Witten's extremal partition functions},
year = {2020},
booktitle = {Annals of Combinatorics, arXiv preprint arXiv:1807.00444},
journal = {Annals of Combinatorics, arXiv preprint arXiv:1807.00444},
volume = {23},
pages = {953-961},
language = {eng},
}
@article{4526,
author = {Nathan Benjamin and Shamit Kachru and Ken Ono and Larry Rolen},
title = {Black holes and class groups},
year = {2018},
booktitle = {Research in the Mathematical Sciences},
journal = {Research in the Mathematical Sciences},
volume = {5},
number = {4},
pages = {43},
publisher = {Springer},
language = {eng},
}
@article{4529,
author = {Michael Griffin and Ken Ono and Larry Rolen and Don Zagier},
title = {Jensen polynomials for the Riemann zeta function and other
sequences},
year = {2019},
booktitle = {Proceedings of the National Academy of Sciences},
journal = {Proceedings of the National Academy of Sciences},
volume = {116},
number = {23},
pages = {11103–11110},
publisher = {National Acad Sciences},
language = {eng},
}
@article{4532,
author = {Ono and Dawsey},
title = {Seeking speed},
year = {2019},
booktitle = {Splash},
journal = {Splash},
pages = {38-39},
language = {eng},
}
@article{4533,
author = {Nate Gillman and Xavier Gonzalez and Ken Ono and Larry Rolen
and Matthew Shoenbauer},
title = {From partitions to Hodge numbers of Hilbert Schemes of
Surfaces},
year = {2020},
booktitle = {Philosophical Transactions of the Royal Society, Series A,
arXiv preprint arXiv:1902.05421},
journal = {Philosophical Transactions of the Royal Society, Series A,
arXiv preprint arXiv:1902.05421},
volume = {378},
number = {2163},
pages = {Article ID:20180435},
language = {eng},
}
@article{4534,
author = {Madeline Locus Dawsey and Ken Ono and Ian Wagner},
title = {Multiquadratic fields generated by characters of An},
year = {2019},
booktitle = {Journal of Algebra},
journal = {Journal of Algebra},
volume = {533},
pages = {339-343},
publisher = {Elsevier},
language = {eng},
}
@article{4535,
author = {Michael Mertens and Ken Ono and Larry Rolen},
title = {Mock modular Eisenstein series with Nebentypus},
year = {2021},
booktitle = {International Journal of Number Theory (Volume in Honor of
Bruce Berndt) arXiv preprint arXiv:1906.07410, (17), 2021, 683-697 },
journal = {International Journal of Number Theory (Volume in Honor of
Bruce Berndt) arXiv preprint arXiv:1906.07410, (17), 2021, 683-697 },
language = {eng},
}
@article{4536,
author = {Ono and Dawsey and Wagner},
title = {Fields generated by characters of finite linear groups},
year = {2021},
booktitle = {Archiv der Mathematik (arxiv 1912.07102), 116, 487-500},
journal = {Archiv der Mathematik (arxiv 1912.07102), 116, 487-500},
url = {},
language = {eng},
}
@article{4537,
author = {Ono and Griffin and Rolen and Thorner and Tripp and Wagner},
title = {Jensen polynomials for the Riemann Xi function},
year = {10010},
booktitle = {https://arxiv.org/abs/1910.01227},
journal = {https://arxiv.org/abs/1910.01227},
language = {eng},
}
@article{4538,
author = {Ono and Howell and Mesihovic and Muir and Ono and Rolen},
title = {Case study of elite breaststrokers using inertial measurement
units},
year = {2018},
booktitle = {unpublished manuscript.},
journal = {unpublished manuscript.},
language = {eng},
}
@article{4570,
author = {Kathrin Bringmann and Ben Kane and Steffen Löbrich and Ken Ono
and Ken Rolen},
title = {Corrigendum for "On divisors of modular forms"},
abstract = {The statements of Theorem 1.1 (3) and Theorem 1.2 (3) are
corrected.},
year = {2020},
booktitle = {Advances in Mathematics},
journal = {Advances in Mathematics},
volume = {374},
pages = {Art. 106751},
language = {eng},
}
@article{4571,
author = {Ken Ono},
title = {Mock theta functions, ranks, and Maass forms},
year = {2008},
booktitle = {Surveys in Number Theory},
journal = {Surveys in Number Theory},
volume = {172},
pages = {119-142},
language = {eng},
}
@article{5534,
author = {Ken Ono and Madeline Locus Dawsey},
title = {Higher width moonshine},
year = {2020},
booktitle = {Advances in Mathematics (arxiv.org/1807.07210)},
journal = {Advances in Mathematics (arxiv.org/1807.07210)},
volume = {360},
pages = {Article 106896},
month = {2020},
language = {eng},
}
@article{5552,
author = {Michael Griffin and Ken Ono},
title = {Elliptic curves and lower bounds for class numbers},
year = {2020},
booktitle = {J. Number Theory (https://arxiv.org/pdf/2001.07332.pdf)},
journal = {J. Number Theory (https://arxiv.org/pdf/2001.07332.pdf)},
volume = {214},
pages = {1-12},
month = {2020},
url = {},
language = {eng},
}
@article{5750,
author = {Ken Ono and Wissam Raji},
title = {Class numbers and self-conjugate 7-cores},
year = {2021},
booktitle = {J. Combinatorial Theory, Series A (arxiv.org/1909.05209),
180 (2021), 105427.},
journal = {J. Combinatorial Theory, Series A (arxiv.org/1909.05209), 180
(2021), 105427.},
language = {eng},
}
@article{6450,
author = {Ken Ono and Robert Schneider},
title = {Journal refereeing: merge with the collective mind},
year = {2020},
booktitle = {Notices of the American Mathematical Society},
journal = {Notices of the American Mathematical Society},
volume = {67},
number = {2163},
pages = {188-189},
url = {},
language = {eng},
}
@proceedings{6969,
editor = {},
author = {},
title = {Srinivasa Ramanujan: In Celebration of the centenary of his
election as FRS, Philosophical Transactions of the Royal Society, A},
year = {2020},
volume = {378},
number = {2163},
publisher = {Royal Society},
language = {eng},
}
@article{7978,
author = {Jennifer Balakrishnan and William Craig and Ken Ono and Wei-Lun
Tsai},
title = {Variants of Lehmer's speculation for newforms},
year = {10010},
booktitle = {arXiv: https://arxiv.org/abs/2005.10354},
journal = {arXiv: https://arxiv.org/abs/2005.10354},
language = {eng},
}
@article{8052,
author = {Ken Ono and Robert Schneider},
title = {Dreamy mathematics},
year = {2020},
booktitle = {New Scientist},
journal = {New Scientist},
volume = {246},
number = {3279},
pages = {21},
month = {April 2020},
url = {},
language = {eng},
}
@article{8576,
author = {Ken Ono and Robert Schneider and Ian Wagner},
title = {Partition-theoretic formulas for arithmetic densities, II},
year = {2020},
booktitle = {The Hardy-Ramanujan Journal (Special Issue:
https://arxiv.org/abs/2010.15107) 43 (2020), 1-16},
journal = {The Hardy-Ramanujan Journal (Special Issue:
https://arxiv.org/abs/2010.15107) 43 (2020), 1-16},
language = {eng},
}
@article{8587,
author = {Jennifer Balakrishnan and Will Craig and Ken Ono},
title = {Variations of Lehmer’s Conjecture for Ramanujan’s
tau-function},
year = {10030},
booktitle = {J. Number Theory (JNT Prime and Special Issue on Modular
forms and Function Fields): (arXiv: https://arxiv.org/abs/2005.10345)},
journal = {J. Number Theory (JNT Prime and Special Issue on Modular forms
and Function Fields): (arXiv: https://arxiv.org/abs/2005.10345)},
url = {},
language = {eng},
}
@article{8660,
author = {Ken Ono and Michael Griffin and Wei-Lun Tsai},
title = {Quadratic twists of elliptic curves and class numbers},
year = {2021},
booktitle = {Journal of Number Theory (arXiv:
https://arxiv.org/abs/2005.10354) 227, 1-29},
journal = {Journal of Number Theory (arXiv:
https://arxiv.org/abs/2005.10354) 227, 1-29},
language = {eng},
}
@article{9020,
author = {Ken Ono and Wei-Lun Tsai and Michael Griffin},
title = {Heights of points on elliptic curves over Q},
year = {2021},
booktitle = {Proceedings of the American Mathematical Society,
https://arxiv.org/abs/2007.09514, 149 (2021), 5093-5100},
journal = {Proceedings of the American Mathematical Society,
https://arxiv.org/abs/2007.09514, 149 (2021), 5093-5100},
language = {eng},
}
@article{9524,
author = {Ken Ono},
title = {The Eichler integral of E2 and q-brackets of t-hook functions},
year = {10030},
booktitle = {Proceedings of Analysis Fest, Conference in Honor of Lance
Littlejohn},
journal = {Proceedings of Analysis Fest, Conference in Honor of Lance
Littlejohn},
language = {eng},
}
@article{9644,
author = {Kathrin Bringmann and Ken Ono and Ian Wagner},
title = {Eichler integrals of Eisenstein series as q-brackets of weighted
t-hook functions on partitions},
year = {10030},
booktitle = {Ramanujan Journal (Dick Askey Memorial Volume) arxiv:
https://arxiv.org/abs/2009.07236},
journal = {Ramanujan Journal (Dick Askey Memorial Volume) arxiv:
https://arxiv.org/abs/2009.07236},
language = {eng},
}
@article{9796,
author = {K. Bringmann and W. Craig and Joshua Males and K. Ono},
title = {Distributions on partitions arising from Hilbert schemes and
hook lengths},
year = {10010},
booktitle = {preprint (https://arxiv.org/abs/2109.10394)},
journal = {preprint (https://arxiv.org/abs/2109.10394)},
language = {eng},
}
@workingpaper{12072,
author = {Ken Ono and Wei-Lun Tsai},
title = {Even Values of Ramanujan's Tau-function},
year = {10000},
}
@article{12073,
author = {Ken Ono and Wei-Lun Tsai and Jennifer Balakrishnan},
title = {Even values of Ramanujan's tau function},
year = {10030},
booktitle = {La Matematica (arXiv: https://arxiv.org/abs/2102.00111)},
journal = {La Matematica (arXiv: https://arxiv.org/abs/2102.00111)},
url = {},
}
@article{12329,
author = {Michael Griffin and Ken Ono and Wei-Lun Tsai},
title = {Tamagawa products of elliptic curves over Q},
year = {10030},
booktitle = {Quarterly Journal of Mathematics (Oxford)
(https://arxiv.org/abs/2105.03513).},
journal = {Quarterly Journal of Mathematics (Oxford)
(https://arxiv.org/abs/2105.03513).},
}
@article{12919,
author = {Letong Hong and Michael Mertens and Ken Ono and Shengtong
Zhang},
title = {Proof of the elliptic expansion Moonshine conjecture of
Caldararu, He, and Huang},
year = {10010},
booktitle = {preprint (https://arxiv.org/abs/2108.01027)},
journal = {preprint (https://arxiv.org/abs/2108.01027)},
}
@article{12945,
author = {Ken Ono and Hasan Saad and Neelam Saikia},
title = {Distribution of values of Gaussian hypergeometric functions},
year = {10010},
booktitle = {https://arxiv.org/abs/2108.09560, preprint},
journal = {https://arxiv.org/abs/2108.09560, preprint},
}
@article{13064,
author = {Michael Griffin and Ken Ono and Neelam Saikia and Wei-Lun
Tsai},
title = {AGM and jellyfish swarms of elliptic curves},
year = {10010},
booktitle = {submitted for publication},
journal = {submitted for publication},
}
@article{13065,
author = {Ken Ono and Sudhir Pujahari},
title = {Turan Inequalities for the plane partition function},
year = {10020},
booktitle = {TBD},
journal = {TBD},
}