Ken Ono

Asa Griggs Candler Professor of Mathematics

Department of Mathematics and Computer Science
Emory University

Selected Publications

  1. K. Ono and K. Soundararajan, Ramanujan's ternary quadratic form
    Inventiones Mathematicae 130, No. 3, 1997, pp. 415-454
  2. K. Ono and C. Skinner, Fourier coefficients of half-integral weight modular forms modulo l
    Annals of Mathematics 147, No. 2, 1998, pp. 453-470
  3. K. Ono and C. Skinner, Nonvanishing of quadratic twists of modular L-functions
    Inventiones Mathematicae 134, 1998, pp. 651-660
  4. W. Kohnen and K. Ono, Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication
    Inventiones Mathematicae 135, 1999, pp. 387-398
  5. K. Ono, Distribution of the partition function modulo m
    Annals of Mathematics 151, 2000, pp. 293-307
  6. K. Bringmann and K. Ono, The f(q) mock theta function conjecture and partition ranks
    Inventiones Mathematicae, 165, 2006, pp. 243-266.
  7. K. Ono, Unearthing the visions of a master: harmonic Maass forms and number theory,
    2008 Harvard-MIT Current Developments in Mathematics Conference, Int. Press, Somerville, MA, 2009, pp. 347-454.
  8. K. Bringmann and K. Ono, Dyson's ranks and Maass forms
    Annals of Mathematics, 171 (2010), pp. 419-449.
  9. J. H. Bruinier and K. Ono, Heegner divisors, L-functions and harmonic weak Maass forms,
    Annals of Mathematics, 172 (2010), pp.2135-2181.
  10. M. Griffin, K. Ono, and L. Rolen, Ramanujan's mock theta functions
    Proceedings of the National Academy of Sciences, USA, 110 2013, pp. 5765-5768.
  11. A. Folsom, K. Ono, and R. Rhoades, Mock theta functions and quantum modular forms,
    Forum of Mathematics, Pi, 1 (2013) e2, 27 pages.
  12. M. Griffin, K. Ono, and S. Ole Warnaar, A framework of Rogers-Ramanujan identities and their arithmetic properties,
    Duke Mathematical Journal, 165 (2016), pp. 1475-1527.
  13. J. F. R. Duncan, M. Griffin and K. Ono, Proof of the Umbral Moonshine Conjecture,
    Research in the Mathematical Sciences, (2), Art. 26.
  14. J. F. R. Duncan, M. Mertens, and K. Ono, Pariah Moonshine,
    Nature, Ser. Communications, 8 (2017), Art. 670.
  15. M. Griffin, K. Ono, L. Rolen, and D. Zagier, Jensen polynomials for Riemann's zeta function and suitable arithmetic sequences,
    Proceedings of the National Academy of Sciences, USA, accepted for publication.