Selected Publications | Ken Ono

Ono K, Soundararajan K. Ramanujan's ternary quadratic form. Inventiones mathematicae. 1997;130(3):415–454.
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Ono K, Skinner C. Fourier coefficients of half-integral weight modular forms modulo â. Annals of Mathematics, arXiv preprint arXiv:0710.0283. 1998;147:453-470.
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Ono K. Nonvanishing of quadratic twists of modular L-functions and applications to elliptic curves. Journal fur die reine und angewandte Mathematik. 2001:81–98.
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Kohnen W, Ono K. Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication. Inventiones mathematicae. 1999;135(2):387–398.
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Ono K. Distribution of the partition function modulo m. Annals of Mathematics. 2000;151(1):293–307.
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Bringmann K, Ono K. The f(q) mock theta function conjecture and partition ranks. Inventiones mathematicae. 2006;165(2):243–266.
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Ono K. Unearthing the visions of a master: harmonic Maass forms and number theory. Harvard-MIT Current Developments in Mathematics. 2009;2008:347–454.
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Bringmann K, Ono K. Dyson’s ranks and Maass forms. Annals of Mathematics. 2010;171(1):419–449.
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Bruinier J, Ono K. Heegner divisors, L-functions and harmonic weak Maass forms. Annals of Mathematics, arXiv preprint arXiv:0710.0283. 2010;172:2135-2181.
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Griffin M, Ono K, Rolen L. Ramanujan’s mock theta functions. Proceedings of the National Academy of Sciences. 2013;110(15):5765–5768.
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Griffin M, Ono K, Warnaar O, others. A framework of Rogers–Ramanujan identities and their arithmetic properties. Duke Mathematical Journal. 2016;165(8):1475–1527.
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Duncan JFR, Griffin M, Ono K. Proof of the umbral moonshine conjecture. Research in the Mathematical Sciences. 2015;2(1):26.
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Duncan JFR, Mertens M, Ono K. Pariah moonshine. Nature communications. 2017;8(1):670.
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Griffin M, Ono K, Rolen L, Zagier D. Jensen polynomials for the Riemann zeta function and other sequences. Proceedings of the National Academy of Sciences. 2019;116(23):11103–11110.
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