@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 Γ0(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 ℓ}, 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), 1-45.}, journal = {American Journal of Mathematics (arXiv preprint arXiv:1702.03516) 143 (2021), 1-45.}, 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 = {10000}, booktitle = {International Journal of Number Theory (Volume in Honor of Bruce Berndt) arXiv preprint arXiv:1906.07410}, journal = {International Journal of Number Theory (Volume in Honor of Bruce Berndt) arXiv preprint arXiv:1906.07410}, language = {eng}, } @article{4536, author = {Ono and Dawsey and Wagner}, title = {Fields generated by characters of finite linear groups}, year = {10000}, booktitle = {Archiv der Mathematik, arxiv 1912.07102}, journal = {Archiv der Mathematik, arxiv 1912.07102}, 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 = {Ken Ono}, 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 = {10010}, booktitle = {The Hardy-Ramanujan Journal (Special Issue): https://arxiv.org/abs/2010.15107}, journal = {The Hardy-Ramanujan Journal (Special Issue): https://arxiv.org/abs/2010.15107}, 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 = {10000}, 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 = {10010}, booktitle = {arXiv: https://arxiv.org/abs/2005.10354}, journal = {arXiv: https://arxiv.org/abs/2005.10354}, language = {eng}, } @article{9020, author = {Ken Ono and Wei-Lun Tsai and Michael Griffin}, title = {Heights of points on elliptic curves over Q}, year = {10010}, booktitle = {https://arxiv.org/abs/2007.09514}, journal = {https://arxiv.org/abs/2007.09514}, language = {eng}, } @article{9524, author = {Ken Ono}, title = {The Eichler integral of E2 and q-brackets of t-hook functions}, year = {10000}, 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 = {10000}, 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 t-hooks}, year = {10020}, booktitle = {preprint}, journal = {preprint}, 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 = {10010}, 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 = {10020}, booktitle = {In preparation}, journal = {In preparation}, }