Edit Profile (opens in new tab) Ono, Ken Co-Author Distance Author ID: ono.ken Published as: Ono, Ken; Ono, K. External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 219 Publications since 1994, including 3 Books and 13 Additional arXiv Preprints 6 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 107 Co-Authors with 174 Joint Publications 2,360 Co-Co-Authors all top 5 Co-Authors 48 single-authored 19 Bringmann, Kathrin 19 Griffin, Michael J. 18 Rolen, Larry 11 Bruinier, Jan Hendrik 10 Ahlgren, Scott D. 10 Tsai, Wei-Lun 8 Andrews, George Eyre 7 Folsom, Amanda L. 7 Mertens, Michael Helmut 7 Singh, Ajit 6 Craig, William 6 Wagner, Ian 5 Amdeberhan, Tewodros 5 Balog, Antal 5 Berndt, Bruce Carl 5 Duncan, John F. R. 5 Kohnen, Winfried 5 Saad, Hasan 4 Alladi, Krishnaswami 4 Balakrishnan, Jennifer S. 4 Dawsey, Madeline Locus 4 Kent, Zachary A. 4 Papanikolas, Matthew A. 4 Penniston, David 4 Rhoades, Robert C. 4 Schneider, Robert P. 4 Soundararajan, Kannan 4 Warnaar, S. Ole 3 James, Kevin 3 Kane, Ben 3 Löbrich, Steffen 3 Malmendier, Andreas 3 Saikia, Neelam 3 Skinner, Christopher M. 3 Trebat-Leder, Sarah 2 Bessenrodt, Christine 2 El-Guindy, Ahmad 2 Frechette, Sharon M. 2 Guerzhoy, Pavel I. 2 Guo, Li 2 Haglund, James 2 Hong, Letong 2 Jiménez-Urroz, Jorge 2 Jin, Seokho 2 Lovejoy, Jeremy 2 Ma, Wenjun 2 McGraw, William J. 2 McSpirit, Eleanor 2 Pujahari, Sudhir 2 Ramsey, Nick 2 Robins, Sinai 2 Sze, Lawrence 2 Wilson, Brad 2 Zhang, Shengtong 1 Aczel, Amir D. 1 Adem, Alejandro 1 Alfes-Neumann, Claudia 1 Ardila, Federico 1 Benjamin, Nathan 1 Bonato, Anthony 1 Boylan, Matthew 1 Chayes, Jennifer Tour 1 Choie, YoungJu 1 Chudnovsky, Maria 1 Chung, Fan 1 Coogan, Gwynneth H. 1 Darmon, Henri René 1 Daubechies, Ingrid 1 Deng, Yuqi 1 Eichhorn, Dennis 1 Ekhad, Shalosh B. (computer) 1 Elkies, Noam David 1 Garvan, Frank G. 1 Ghoussoub, Nassif A. 1 Gillespie, Maria Monks 1 Gillman, Nate 1 Gomez, Kevin 1 González, Xavier Ignacio 1 Gordon, Basil 1 Granville, Andrew James 1 Guralnick, Robert Michael 1 Han, Guo-Niu 1 Holmes, Philip J. 1 Huang, Yifeng 1 Jeffrey, Lisa Claire 1 Kachru, Shamit 1 Keigher, William F. 1 Łaba, Izabella 1 Mahlburg, Karl 1 Males, Joshua 1 Martin, Yves-Loïc 1 Masri, Riad 1 Matsusaka, Toshiki 1 Mazur, Barry 1 McIntosh, Richard J. 1 Medvedev, Georgi S. 1 Merca, Mircea 1 Milas, Antun 1 Mortenson, Eric T. 1 Nowakowski, Richard Joseph ...and 22 more Co-Authors all top 5 Serials 13 Advances in Mathematics 11 Journal of Number Theory 10 Proceedings of the National Academy of Sciences of the United States of America 9 Acta Arithmetica 9 Mathematische Annalen 9 Proceedings of the American Mathematical Society 8 Journal of Combinatorial Theory. Series A 7 The Ramanujan Journal 6 Compositio Mathematica 5 Notices of the American Mathematical Society 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Journal für die Reine und Angewandte Mathematik 4 IMRN. International Mathematics Research Notices 4 Annals of Mathematics. Second Series 4 Research in the Mathematical Sciences 3 Archiv der Mathematik 3 Journal of the London Mathematical Society. Second Series 3 Transactions of the American Mathematical Society 3 Hardy-Ramanujan Journal 3 Annals of Combinatorics 3 International Journal of Number Theory 3 Research in Number Theory 2 American Mathematical Monthly 2 American Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Illinois Journal of Mathematics 2 The Journal of the Indian Mathematical Society. New Series 2 Proceedings of the Japan Academy. Series A 2 Forum of Mathematics, Sigma 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Proceedings of the American Mathematical Society. Series B 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Mathematika 1 Monatshefte für Mathematik 1 Utilitas Mathematica 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Advances in Applied Mathematics 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 European Journal of Applied Mathematics 1 Geometric and Functional Analysis. GAFA 1 Aequationes Mathematicae 1 The Electronic Journal of Combinatorics 1 Mathematical Research Letters 1 Electronic Research Announcements of the American Mathematical Society 1 Séminaire Lotharingien de Combinatoire 1 Communications in Applied Analysis 1 Geometry & Topology 1 The Quarterly Journal of Mathematics 1 Pure and Applied Mathematics Quarterly 1 Colloquium Publications. American Mathematical Society 1 Contemporary Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Developments in Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Number Theory and Physics 1 Mathematics Newsletter 1 Forum of Mathematics, Pi 1 CBMS Regional Conference Series in Mathematics 1 La Matematica all top 5 Fields 204 Number theory (11-XX) 50 Combinatorics (05-XX) 27 Special functions (33-XX) 21 Algebraic geometry (14-XX) 15 Group theory and generalizations (20-XX) 14 History and biography (01-XX) 8 General and overarching topics; collections (00-XX) 6 Nonassociative rings and algebras (17-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Manifolds and cell complexes (57-XX) 2 Partial differential equations (35-XX) 2 Quantum theory (81-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 179 Publications have been cited 3,749 times in 2,035 Documents Cited by ▼ Year ▼ The web of modularity: arithmetic of the coefficients of modular forms and \(q\)-series. Zbl 1119.11026 Ono, Ken 467 2004 Defect zero \(p\)-blocks for finite simple groups. Zbl 0855.20007 Granville, Andrew; Ono, Ken 130 1996 Harmonic Maass forms and mock modular forms: theory and applications. Zbl 1459.11118 Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry 129 2017 Unearthing the visions of a master: harmonic Maass forms and number theory. Zbl 1229.11074 Ono, Ken 121 2009 Dyson’s ranks and Maass forms. Zbl 1277.11096 Bringmann, Kathrin; Ono, Ken 115 2010 Distribution of the partition function modulo \(m\). Zbl 0984.11050 Ono, Ken 114 2000 The \(f(q)\) mock theta function conjecture and partition ranks. Zbl 1135.11057 Bringmann, Kathrin; Ono, Ken 111 2006 A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002 Ahlgren, Scott; Ono, Ken 99 2000 Heegner divisors, \(L\)-functions and harmonic weak Maass forms. Zbl 1244.11046 Bruinier, Jan; Ono, Ken 99 2010 Divisibility of certain partition functions by powers of primes. Zbl 0907.11036 Gordon, Basil; Ono, Ken 74 1997 Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues. Zbl 1246.11098 Bruinier, Jan H.; Ono, Ken; Rhoades, Robert C. 71 2008 Values of Gaussian hypergeometric series. Zbl 0910.11054 Ono, Ken 67 1998 Congruence properties for the partition function. Zbl 1114.11310 Ahlgren, Scott; Ono, Ken 66 2001 Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105 Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don 62 2019 Mock theta functions and quantum modular forms. Zbl 1294.11083 Folsom, Amanda; Ono, Ken; Rhoades, Robert C. 58 2013 Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series. Zbl 1154.11015 Bringmann, Kathrin; Ono, Ken 53 2007 The arithmetic of the values of modular functions and the divisors of modular forms. Zbl 1060.11019 Bruinier, Jan H.; Kohnen, Winfried; Ono, Ken 50 2004 Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. Zbl 1304.11021 Bruinier, Jan Hendrik; Ono, Ken 49 2013 Non-vanishing of quadratic twists of modular \(L\)-functions. Zbl 0937.11017 Ono, Ken; Skinner, Christopher 48 1998 Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029 Frechette, Sharon; Ono, Ken; Papanikolas, Matthew 45 2004 Proof of the umbral moonshine conjecture. Zbl 1383.11052 Duncan, John F. R.; Griffin, Michael J.; Ono, Ken 41 2015 \(q\)-series identities and values of certain \(L\)-functions. Zbl 1005.11048 Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken 40 2001 Eulerian series as modular forms. Zbl 1208.11065 Bringmann, Kathrin; Ono, Ken; Rhoades, Robert C. 38 2008 Coefficients of harmonic Maass forms. Zbl 1333.11040 Bringmann, Kathrin; Ono, Ken 36 2012 Floer-Novikov cohomology and the flux conjecture. Zbl 1113.53055 Ono, K. 35 2006 Parity of the partition function in arithmetic progressions. Zbl 0835.11038 Ono, Ken 35 1996 Hilbert class polynomials and traces of singular moduli. Zbl 1091.11011 Bruinier, Jan Hendrik; Jenkins, Paul; Ono, Ken 35 2006 Eichler-Shimura theory for mock modular forms. Zbl 1312.11039 Bringmann, Kathrin; Guerzhoy, Pavel; Kent, Zachary; Ono, Ken 34 2013 Fourier coefficients of half-integral weight modular forms modulo \(\ell\). Zbl 0907.11017 Ono, Ken; Skinner, Christopher 32 1998 Euler’s concordant forms. Zbl 0863.11038 Ono, Ken 31 1996 Baxter algebras and Hopf algebras. Zbl 1056.16025 Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken 31 2003 Maximal multiplicative properties of partitions. Zbl 1332.05013 Bessenrodt, Christine; Ono, Ken 31 2016 A framework of Rogers-Ramanujan identities and their arithmetic properties. Zbl 1405.11140 Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole 31 2016 The 2-adic behavior of the number of partitions into distinct parts. Zbl 0972.05003 Ono, Ken; Penniston, David 29 2000 Ramanujan’s unpublished manuscript on the partition and tau functions with proofs and commentary. Zbl 0932.11002 Berndt, Bruce C.; Ono, Ken 28 1999 Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication. Zbl 0931.11044 Kohnen, Winfried; Ono, Ken 28 1999 Eta-quotients and elliptic curves. Zbl 0894.11020 Martin, Yves; Ono, Ken 28 1997 Lifting cusp forms to Maass forms with an application to partitions. Zbl 1191.11013 Bringmann, Kathrin; Ono, Ken 28 2006 Moonshine. Zbl 1380.11030 Duncan, John F. R.; Griffin, Michael J.; Ono, Ken 28 2015 Ramanujan’s ternary quadratic form. Zbl 0930.11022 Ono, Ken; Soundararajan, K. 27 1997 4-core partitions and class numbers. Zbl 0868.11047 Ono, Ken; Sze, Lawrence 27 1997 The Chebotarev density theorem in short intervals and some questions of Serre. Zbl 1016.11053 Balog, Antal; Ono, Ken 25 2001 Arithmetic of singular moduli and class polynomials. Zbl 1133.11036 Ahlgren, Scott; Ono, Ken 24 2005 Zeta functions of an infinite family of \(K3\) surfaces. Zbl 1065.14023 Ahlgren, Scott; Ono, Ken; Penniston, David 23 2002 On the representation of integers as sums of triangular numbers. Zbl 0828.11057 Ono, Ken; Robins, Sinai; Wahl, Patrick T. 23 1995 \(p\)-adic coupling of mock modular forms and shadows. Zbl 1205.11047 Guerzhoy, Pavel; Kent, Zachary A.; Ono, Ken 23 2010 Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031 Ahlgren, Scott; Ono, Ken 22 2000 Congruences for Frobenius partitions. Zbl 0852.11057 Ono, Ken 22 1996 Linear relations between modular form coefficients and non-ordinary primes. Zbl 1155.11325 Choie, YoungJu; Kohnen, Winfried; Ono, Ken 21 2005 Class polynomials for nonholomorphic modular functions. Zbl 1332.11047 Bruinier, Jan Hendrik; Ono, Ken; Sutherland, Andrew V. 21 2016 Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075 Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan 21 2016 Ramanujan’s mock theta functions. Zbl 1295.11038 Griffin, Michael; Ono, Ken; Rolen, Larry 21 2013 2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014 Ono, Ken; Taguchi, Yuichiro 20 2005 Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323 Elkies, Noam; Ono, Ken; Yang, Tonghai 20 2005 Prime power degree representations of the symmetric and alternating groups. Zbl 1018.20008 Balog, Antal; Bessenrodt, Christine; Olsson, Jørn B.; Ono, Ken 19 2001 Congruences for the Andrews spt function. Zbl 1286.11168 Ono, Ken 19 2011 Duality involving the mock theta function \(f(q)\). Zbl 1189.11026 Folsom, Amanda; Ono, Ken 19 2008 On divisors of modular forms. Zbl 1447.11056 Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen; Ono, Ken; Rolen, Larry 19 2018 Nonvanishing of quadratic twists of modular \(L\)-functions and applications to elliptic curves. Zbl 1065.11032 Ono, Ken 18 2001 Some characters of Kac and Wakimoto and nonholomorphic modular functions. Zbl 1262.11059 Bringmann, Kathrin; Ono, Ken 18 2009 Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019 Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry 18 2015 SO(3)-Donaldson invariants of \(\mathbb CP^{2}\) and mock theta functions. Zbl 1255.57028 Malmendier, Andreas; Ono, Ken 18 2012 Ramanujan’s radial limits. Zbl 1359.11064 Folsom, Amanda; Ono, Ken; Rhoades, Robert C. 16 2014 Turán inequalities for the plane partition function. Zbl 1504.11110 Ono, Ken; Pujahari, Sudhir; Rolen, Larry 16 2022 \(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey. Zbl 1247.11131 Folsom, Amanda; Kent, Zachary A.; Ono, Ken 15 2012 An arithmetic formula for the partition function. Zbl 1156.11040 Bringmann, Kathrin; Ono, Ken 15 2007 Theorems and conjectures involving rook polynomials with only real zeros. Zbl 0928.05003 Haglund, James; Ono, Ken; Wagner, David G. 14 1999 Distributions on partitions arising from Hilbert schemes and hook lengths. Zbl 1494.05008 Bringmann, Kathrin; Craig, William; Males, Joshua; Ono, Ken 14 2022 On the circular summation of the eleventh powers of Ramanujan’s theta function. Zbl 0927.11025 Ono, Ken 13 1999 Coefficients of half-integral weight modular forms. Zbl 1090.11028 Bruinier, Jan H.; Ono, Ken 13 2003 Addition and counting: The arithmetic of partitions. Zbl 1024.11063 Ahlgren, Scott; Ono, Ken 13 2001 Hook lengths and 3-cores. Zbl 1233.05030 Han, Guo-Niu; Ono, Ken 13 2011 Parity of the partition function. Zbl 1234.11139 Ono, Ken 13 2010 Indivisibility of class numbers of real quadratic fields. Zbl 1002.11080 Ono, Ken 12 1999 A \(q\)-series identity and the arithmetic of Hurwitz zeta functions. Zbl 1082.11011 Coogan, Gwynneth H.; Ono, Ken 11 2003 Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants. Zbl 1077.11048 Ahlgren, Scott; Ono, Ken 11 2003 Selmer groups of quadratic twists of elliptic curves. Zbl 0934.11031 James, Kevin; Ono, Ken 10 1999 The arithmetic of Borcherds’ exponents. Zbl 1195.11061 Bruinier, Jan H.; Ono, Ken 10 2003 Superlacunary cusp forms. Zbl 0826.11017 Ono, Ken; Robins, Sinai 10 1995 Jensen polynomials for the Riemann xi-function. Zbl 1490.11086 Griffin, Michael J.; Ono, Ken; Rolen, Larry; Thorner, Jesse; Tripp, Zachary; Wagner, Ian 10 2022 Representations of integers as sums of squares. Zbl 1125.11321 Ono, Ken 9 2002 Travelling wave solutions of the degenerate Kolmogorov-Petrovski-Piskunov equation. Zbl 1060.35052 Medvedev, G. S.; Ono, K.; Holmes, P. J. 9 2003 Extension of Ramanujan’s congruences for the partition function modulo powers of 5. Zbl 0989.11054 Lovejoy, Jeremy; Ono, Ken 9 2002 Twists of elliptic curves. Zbl 0887.11025 Ono, K. 9 1997 Combinatorics of traces of Hecke operators. Zbl 1064.11038 Frechette, Sharon; Ono, Ken; Papanikolas, Matthew 9 2004 Hypergeometric generating functions for values of Dirichlet and other \(L\) functions. Zbl 1070.33016 Lovejoy, Jeremy; Ono, Ken 9 2003 Congruences and conjectures for the partition function. Zbl 1009.11059 Ahlgren, Scott; Ono, Ken 9 2001 A note on the number of \(t\)-core partitions. Zbl 0852.11055 Ono, Ken 9 1995 On the positivity of the number of \(t\)-core partitions. Zbl 0793.11027 Ono, Ken 9 1994 Partition-theoretic formulas for arithmetic densities. Zbl 1416.11151 Ono, Ken; Schneider, Robert; Wagner, Ian 9 2017 Classical and umbral moonshine: connections and \(p\)-adic properties. Zbl 1425.11072 Ono, Ken; Rolen, Larry; Trebat-Leder, Sarah 9 2015 The partition function in arithmetic progressions. Zbl 0914.11054 Ono, Ken 8 1998 A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017 Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron 8 1998 Parity of the partition function in arithmetic progressions. II. Zbl 1031.11063 Boylan, Matthew; Ono, Ken 8 2001 Congruences for partition functions. Zbl 0852.11056 Eichhorn, Dennis; Ono, Ken 8 1996 A mock theta function for the delta-function. Zbl 1230.11056 Ono, Ken 8 2009 \(q\)-series and weight 3/2 Maass forms. Zbl 1233.11048 Bringmann, Kathrin; Folsom, Amanda; Ono, Ken 8 2009 Elements of class groups and Shafarevich-Tate groups of elliptic curves. Zbl 1048.11044 Balog, Antal; Ono, Ken 7 2003 Arithmetic of certain hypergeometric modular forms. Zbl 1100.11015 Mahlburg, Karl; Ono, Ken 7 2004 The Jack Daniels problem. Zbl 1337.11026 Duncan, John F. R.; Ono, Ken 7 2016 Hook lengths in self-conjugate partitions. Zbl 07881502 Amdeberhan, Tewodros; Andrews, George E.; Ono, Ken; Singh, Ajit 1 2024 Distributions of hook lengths in integer partitions. Zbl 07928679 Griffin, Michael; Ono, Ken; Tsai, Wei-Lun 1 2024 Distribution of values of Gaussian hypergeometric functions. Zbl 1540.11045 Ono, Ken; Saad, Hasan; Saikia, Neelam 5 2023 Variants of Lehmer’s speculation for newforms. Zbl 1533.11077 Balakrishnan, Jennifer S.; Craig, William; Ono, Ken; Tsai, Wei-Lun 5 2023 Euler-Kronecker constants for cyclotomic fields. Zbl 1523.11196 Hong, Letong; Ono, Ken; Zhang, Shengtong 3 2023 Zeros in the character tables of symmetric groups with an \(\ell\)-core index. Zbl 1521.20028 McSpirit, Eleanor; Ono, Ken 3 2023 Eichler integrals of Eisenstein series as \(q\)-brackets of weighted \(t\)-hook functions on partitions. Zbl 1526.11059 Bringmann, Kathrin; Ono, Ken; Wagner, Ian 3 2023 Limiting Betti distributions of Hilbert schemes on \(n\) points. Zbl 1510.14001 Griffin, Michael; Ono, Ken; Rolen, Larry; Tsai, Wei-Lun 1 2023 Turán inequalities for the plane partition function. Zbl 1504.11110 Ono, Ken; Pujahari, Sudhir; Rolen, Larry 16 2022 Distributions on partitions arising from Hilbert schemes and hook lengths. Zbl 1494.05008 Bringmann, Kathrin; Craig, William; Males, Joshua; Ono, Ken 14 2022 Jensen polynomials for the Riemann xi-function. Zbl 1490.11086 Griffin, Michael J.; Ono, Ken; Rolen, Larry; Thorner, Jesse; Tripp, Zachary; Wagner, Ian 10 2022 Variations of Lehmer’s conjecture for Ramanujan’s tau-function. Zbl 1497.11080 Balakrishnan, Jennifer S.; Craig, William; Ono, Ken 7 2022 Even values of Ramanujan’s tau-function. Zbl 1499.11182 Balakrishnan, Jennifer S.; Ono, Ken; Tsai, Wei-Lun 3 2022 Proof of the elliptic expansion moonshine conjecture of Căldăraru, He, and Huang. Zbl 1522.11031 Hong, Letong; Mertens, Michael H.; Ono, Ken; Zhang, Shengtong 1 2022 Some Eichler-Selberg trace formulas. Zbl 1521.11026 Ono, Ken; Saad, Hasan 1 2022 Mock modular Eisenstein series with Nebentypus. Zbl 1471.11136 Mertens, Michael H.; Ono, Ken; Rolen, Larry 6 2021 O’Nan moonshine and arithmetic. Zbl 1510.11101 Duncan, John F. R.; Mertens, Michael H.; Ono, Ken 5 2021 Class numbers and self-conjugate 7-cores. Zbl 1459.05012 Ono, Ken; Raji, Wissam 4 2021 Quadratic twists of elliptic curves and class numbers. Zbl 1483.11113 Griffin, Michael; Ono, Ken; Tsai, Wei-Lun 2 2021 Tamagawa products of elliptic curves over \(\mathbb{Q}\). Zbl 1496.11080 Griffin, Michael; Ono, Ken; Tsai, Wei-Lun 2 2021 Heights of points on elliptic curves over \(\mathbb{Q}\). Zbl 1483.11114 Griffin, Michael; Ono, Ken; Tsai, Wei-Lun 1 2021 Partition-theoretic formulas for arithmetic densities. II. Zbl 1471.05011 Ono, Ken; Schneider, Robert; Wagner, Ian 6 2020 From partitions to Hodge numbers of Hilbert schemes of surfaces. Zbl 1470.11263 Gillman, Nate; Gonzalez, Xavier; Ono, Ken; Rolen, Larry; Schoenbauer, Matthew 5 2020 Elliptic curves and lower bounds for class numbers. Zbl 1481.11109 Griffin, Michael; Ono, Ken 4 2020 Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105 Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don 62 2019 On Witten’s extremal partition functions. Zbl 1433.05037 Ono, Ken; Rolen, Larry 2 2019 Multiquadratic fields generated by characters of \(A_n\). Zbl 1485.20005 Locus Dawsey, Madeline; Ono, Ken; Wagner, Ian 1 2019 On divisors of modular forms. Zbl 1447.11056 Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen; Ono, Ken; Rolen, Larry 19 2018 Black holes and class groups. Zbl 1455.11065 Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry 7 2018 Harmonic Maass forms and mock modular forms: theory and applications. Zbl 1459.11118 Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry 129 2017 Partition-theoretic formulas for arithmetic densities. Zbl 1416.11151 Ono, Ken; Schneider, Robert; Wagner, Ian 9 2017 Zeta-polynomials for modular form periods. Zbl 1392.11023 Ono, Ken; Rolen, Larry; Sprung, Florian 7 2017 Explorations in the theory of partition zeta functions. Zbl 1497.11234 Ono, Ken; Rolen, Larry; Schneider, Robert 5 2017 Maximal multiplicative properties of partitions. Zbl 1332.05013 Bessenrodt, Christine; Ono, Ken 31 2016 A framework of Rogers-Ramanujan identities and their arithmetic properties. Zbl 1405.11140 Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole 31 2016 Class polynomials for nonholomorphic modular functions. Zbl 1332.11047 Bruinier, Jan Hendrik; Ono, Ken; Sutherland, Andrew V. 21 2016 Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075 Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan 21 2016 The Jack Daniels problem. Zbl 1337.11026 Duncan, John F. R.; Ono, Ken 7 2016 Special values of shifted convolution Dirichlet series. Zbl 1397.11083 Mertens, Michael H.; Ono, Ken 7 2016 \(p\)-adic properties of modular shifted convolution Dirichlet series. Zbl 1397.11082 Bringmann, Kathrin; Mertens, Michael H.; Ono, Ken 3 2016 A note on non-ordinary primes. Zbl 1417.11056 Jin, Seokho; Ma, Wenjun; Ono, Ken 3 2016 The 1729 \(K3\) surface. Zbl 1352.14014 Ono, Ken; Trebat-Leder, Sarah 1 2016 Proof of the umbral moonshine conjecture. Zbl 1383.11052 Duncan, John F. R.; Griffin, Michael J.; Ono, Ken 41 2015 Moonshine. Zbl 1380.11030 Duncan, John F. R.; Griffin, Michael J.; Ono, Ken 28 2015 Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019 Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry 18 2015 Classical and umbral moonshine: connections and \(p\)-adic properties. Zbl 1425.11072 Ono, Ken; Rolen, Larry; Trebat-Leder, Sarah 9 2015 SU(2)-Donaldson invariants of the complex projective plane. Zbl 1383.57035 Griffin, Michael; Malmendier, Andreas; Ono, Ken 7 2015 Ramanujan’s radial limits. Zbl 1359.11064 Folsom, Amanda; Ono, Ken; Rhoades, Robert C. 16 2014 Mock theta functions and quantum modular forms. Zbl 1294.11083 Folsom, Amanda; Ono, Ken; Rhoades, Robert C. 58 2013 Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. Zbl 1304.11021 Bruinier, Jan Hendrik; Ono, Ken 49 2013 Eichler-Shimura theory for mock modular forms. Zbl 1312.11039 Bringmann, Kathrin; Guerzhoy, Pavel; Kent, Zachary; Ono, Ken 34 2013 Ramanujan’s mock theta functions. Zbl 1295.11038 Griffin, Michael; Ono, Ken; Rolen, Larry 21 2013 Hasse invariants for the Clausen elliptic curves. Zbl 1287.11079 El-Guindy, Ahmad; Ono, Ken 5 2013 Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002 Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole 4 2013 Coefficients of harmonic Maass forms. Zbl 1333.11040 Bringmann, Kathrin; Ono, Ken 36 2012 SO(3)-Donaldson invariants of \(\mathbb CP^{2}\) and mock theta functions. Zbl 1255.57028 Malmendier, Andreas; Ono, Ken 18 2012 \(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey. Zbl 1247.11131 Folsom, Amanda; Kent, Zachary A.; Ono, Ken 15 2012 Moonshine for \(M_{24}\) and Donaldson invariants of \(\mathbb{C} \text{P}^2\). Zbl 1274.57009 Malmendier, Andreas; Ono, Ken 7 2012 A mod \(\ell\) Atkin-Lehner theorem and applications. Zbl 1276.11067 Ono, Ken; Ramsey, Nick 6 2012 Congruences for the Andrews spt function. Zbl 1286.11168 Ono, Ken 19 2011 Hook lengths and 3-cores. Zbl 1233.05030 Han, Guo-Niu; Ono, Ken 13 2011 The partition function and Hecke operators. Zbl 1260.11061 Ono, Ken 4 2011 Modular forms arising from \(Q(n)\) and Dyson’s rank. Zbl 1227.11063 Monks, Maria; Ono, Ken 1 2011 Dyson’s ranks and Maass forms. Zbl 1277.11096 Bringmann, Kathrin; Ono, Ken 115 2010 Heegner divisors, \(L\)-functions and harmonic weak Maass forms. Zbl 1244.11046 Bruinier, Jan; Ono, Ken 99 2010 \(p\)-adic coupling of mock modular forms and shadows. Zbl 1205.11047 Guerzhoy, Pavel; Kent, Zachary A.; Ono, Ken 23 2010 Parity of the partition function. Zbl 1234.11139 Ono, Ken 13 2010 The last words of a genius. Zbl 1219.01017 Ono, Ken 6 2010 Identities and congruences for Ramanujan’s \(\omega (q)\). Zbl 1217.11048 Bruinier, Jan H.; Ono, Ken 5 2010 Gauss’s F hypergeometric function and the congruent number elliptic curve. Zbl 1236.11044 El-Guindy, Ahmad; Ono, Ken 4 2010 Unearthing the visions of a master: harmonic Maass forms and number theory. Zbl 1229.11074 Ono, Ken 121 2009 Some characters of Kac and Wakimoto and nonholomorphic modular functions. Zbl 1262.11059 Bringmann, Kathrin; Ono, Ken 18 2009 A mock theta function for the delta-function. Zbl 1230.11056 Ono, Ken 8 2009 \(q\)-series and weight 3/2 Maass forms. Zbl 1233.11048 Bringmann, Kathrin; Folsom, Amanda; Ono, Ken 8 2009 Algebraicity of harmonic Maass forms. Zbl 1247.11053 Ono, Ken 2 2009 Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues. Zbl 1246.11098 Bruinier, Jan H.; Ono, Ken; Rhoades, Robert C. 71 2008 Eulerian series as modular forms. Zbl 1208.11065 Bringmann, Kathrin; Ono, Ken; Rhoades, Robert C. 38 2008 Duality involving the mock theta function \(f(q)\). Zbl 1189.11026 Folsom, Amanda; Ono, Ken 19 2008 Number theoretic properties of Wronskians of Andrews-Gordon series. Zbl 1214.11050 Milas, Antun; Mortenson, Eric; Ono, Ken 2 2008 Mock theta functions, ranks, and Maass forms. Zbl 1183.11064 Ono, Ken 1 2008 Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series. Zbl 1154.11015 Bringmann, Kathrin; Ono, Ken 53 2007 An arithmetic formula for the partition function. Zbl 1156.11040 Bringmann, Kathrin; Ono, Ken 15 2007 Lehmer’s conjecture on Ramanujan’s tau-function. Zbl 1223.11053 Ono, Ken 4 2007 Singular moduli generating functions for modular curves and surfaces. Zbl 1214.11057 Ono, Ken 2 2007 The \(f(q)\) mock theta function conjecture and partition ranks. Zbl 1135.11057 Bringmann, Kathrin; Ono, Ken 111 2006 Floer-Novikov cohomology and the flux conjecture. Zbl 1113.53055 Ono, K. 35 2006 Hilbert class polynomials and traces of singular moduli. Zbl 1091.11011 Bruinier, Jan Hendrik; Jenkins, Paul; Ono, Ken 35 2006 Lifting cusp forms to Maass forms with an application to partitions. Zbl 1191.11013 Bringmann, Kathrin; Ono, Ken 28 2006 Divisibility criteria for class numbers of imaginary quadratic fields. Zbl 1153.11055 Jenkins, Paul; Ono, Ken 1 2006 Honoring a gift from Kumbakonam. Zbl 1094.01012 Ono, Ken 1 2006 Arithmetic of singular moduli and class polynomials. Zbl 1133.11036 Ahlgren, Scott; Ono, Ken 24 2005 Linear relations between modular form coefficients and non-ordinary primes. Zbl 1155.11325 Choie, YoungJu; Kohnen, Winfried; Ono, Ken 21 2005 2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014 Ono, Ken; Taguchi, Yuichiro 20 2005 Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323 Elkies, Noam; Ono, Ken; Yang, Tonghai 20 2005 Traces of singular moduli on Hilbert modular surfaces. Zbl 1109.11028 Bringmann, Kathrin; Ono, Ken; Rouse, Jeremy 4 2005 Ramanujan’s congruences and Dyson’s crank. Zbl 1155.11349 Andrews, George E.; Ono, Ken 3 2005 Identities for traces of singular moduli. Zbl 1163.11324 Bringmann, Kathrin; Ono, Ken 2 2005 The web of modularity: arithmetic of the coefficients of modular forms and \(q\)-series. Zbl 1119.11026 Ono, Ken 467 2004 The arithmetic of the values of modular functions and the divisors of modular forms. Zbl 1060.11019 Bruinier, Jan H.; Kohnen, Winfried; Ono, Ken 50 2004 Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029 Frechette, Sharon; Ono, Ken; Papanikolas, Matthew 45 2004 ...and 79 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,634 Authors 91 Ono, Ken 88 Bringmann, Kathrin 40 Rolen, Larry 37 Folsom, Amanda L. 37 Kane, Ben 35 Barman, Rupam 31 Kim, Chang Heon 27 Choi, Dohoon 27 Heim, Bernhard Ernst 26 Lovejoy, Jeremy 25 Kim, Byungchan 23 Lim, Subong 23 Neuhauser, Markus 21 Bruinier, Jan Hendrik 20 Ahlgren, Scott D. 20 Choi, Soyoung 20 Rhoades, Robert C. 18 Griffin, Michael J. 18 Swisher, Holly 17 Guerzhoy, Pavel I. 17 Kang, Soon-Yi 17 Males, Joshua 16 Duncan, John F. R. 16 Mahlburg, Karl 16 Mortenson, Eric T. 16 Wang, Liuquan 15 Alfes-Neumann, Claudia 15 Kalita, Gautam 15 Raum, Martin 15 Schwagenscheidt, Markus 14 Andersen, Nickolas 14 Choie, YoungJu 14 Gu, Nancy Shan Shan 14 Guo, Li 14 Jennings-Shaffer, Chris 14 Long, Ling 14 McCarthy, Dermot 14 Tsai, Wei-Lun 13 Alkan, Emre 13 Cheng, Miranda C. N. 13 Kohnen, Winfried 13 Masri, Riad 13 Osburn, Robert 13 Richter, Olav K. 13 Wagner, Ian 12 Baruah, Nayandeep Deka 12 Craig, William 12 Garvan, Frank G. 12 Jeon, Daeyeol 12 Li, Yingkun 12 Xia, Ernest X. W. 12 Ye, Dongxi 12 Zudilin, Wadim 11 Andrews, George Eyre 11 Berndt, Bruce Carl 11 Chen, Shichao 11 Cui, Su-Ping 11 Mertens, Michael Helmut 11 Radu, Cristian-Silviu 11 Sellers, James Allen 11 Singh, Ajit 11 Tang, Dazhao 11 Voskresenskaya, Galina Valentinovna 11 Zaharescu, Alexandru 10 Jameson, Marie 10 Mao, Renrong 10 Ray, Chiranjit 10 Sills, Andrew V. 10 Thorner, Jesse 9 Bessenrodt, Christine 9 Dai, Haobo 9 Hikami, Kazuhiro 9 Lin, Bernard L. S. 9 Löbrich, Steffen 9 Milas, Antun 9 Penniston, David 9 Saikia, Neelam 9 Tong-Viet, Hung P. 8 Aygin, Zafer Selçuk 8 Beckwith, Olivia 8 Chen, William Yong-Chuan 8 Keith, William J. 8 Rouse, Jeremy A. 8 Sun, Zhi-Wei 8 Tu, Fang-Ting 7 Beneish, Lea 7 Chan, Heng Huat 7 Dawsey, Madeline Locus 7 Diamantis, Nikolaos 7 Dicks, Robert 7 Dousse, Jehanne 7 Du, Julia Q. D. 7 Garthwaite, Sharon Anne 7 Gun, Sanoli 7 Guo, Victor J. W. 7 Harrison, Sarah M. 7 James, Kevin 7 Jin, Seokho 7 Kent, Zachary A. 7 Larson, Hannah K. ...and 1,534 more Authors all top 5 Cited in 209 Serials 220 The Ramanujan Journal 186 Journal of Number Theory 149 International Journal of Number Theory 127 Proceedings of the American Mathematical Society 94 Research in Number Theory 69 Research in the Mathematical Sciences 68 Advances in Mathematics 55 Journal of Mathematical Analysis and Applications 52 Transactions of the American Mathematical Society 34 Journal of Combinatorial Theory. Series A 32 Annals of Combinatorics 30 Journal of Algebra 28 Journal of High Energy Physics 26 Mathematische Annalen 24 Discrete Mathematics 23 Acta Arithmetica 22 Archiv der Mathematik 21 Bulletin of the Australian Mathematical Society 21 Advances in Applied Mathematics 18 Mathematics of Computation 18 Journal de Théorie des Nombres de Bordeaux 18 Integers 16 Proceedings of the Japan Academy. Series A 16 Forum Mathematicum 15 Mathematische Zeitschrift 14 Functiones et Approximatio. Commentarii Mathematici 12 Communications in Algebra 12 Rocky Mountain Journal of Mathematics 12 Proceedings of the National Academy of Sciences of the United States of America 12 The Electronic Journal of Combinatorics 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Bulletin of the London Mathematical Society 11 Duke Mathematical Journal 11 Journal of the Ramanujan Mathematical Society 11 Finite Fields and their Applications 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Journal of the Australian Mathematical Society 10 Journal of Algebra and its Applications 9 Journal für die Reine und Angewandte Mathematik 9 Results in Mathematics 9 Mathematics 8 Communications in Mathematical Physics 8 Israel Journal of Mathematics 8 Compositio Mathematica 8 Mathematika 8 Monatshefte für Mathematik 8 Séminaire Lotharingien de Combinatoire 8 Journal of Physics A: Mathematical and Theoretical 8 Open Mathematics 7 Indian Journal of Pure & Applied Mathematics 7 Mathematical Notes 7 Journal of Pure and Applied Algebra 7 Forum of Mathematics, Sigma 6 Letters in Mathematical Physics 6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Manuscripta Mathematica 6 Pacific Journal of Mathematics 6 Algebra & Number Theory 6 Involve 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Journal of Mathematical Physics 5 Inventiones Mathematicae 5 Journal of the Korean Mathematical Society 5 Nagoya Mathematical Journal 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 European Journal of Combinatorics 5 Expositiones Mathematicae 5 Experimental Mathematics 5 Journal of Algebraic Combinatorics 5 Journal of Group Theory 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Advances in Difference Equations 5 Transactions of the American Mathematical Society. Series B 4 Canadian Mathematical Bulletin 4 Colloquium Mathematicum 4 Journal of the London Mathematical Society. Second Series 4 Journal of Symbolic Computation 4 Journal of Mathematical Sciences (New York) 4 Algebras and Representation Theory 4 Journal of Integer Sequences 4 Annals of Mathematics. Second Series 4 Proceedings of the American Mathematical Society. Series B 4 Electronic Research Archive 3 Nuclear Physics. B 3 American Journal of Mathematics 3 Annales de l’Institut Fourier 3 Glasgow Mathematical Journal 3 International Journal of Mathematics and Mathematical Sciences 3 Memoirs of the American Mathematical Society 3 Quaestiones Mathematicae 3 International Journal of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Indagationes Mathematicae. New Series 3 Selecta Mathematica. New Series 3 Journal of Difference Equations and Applications 3 Journal of Inequalities and Applications 3 LMS Journal of Computation and Mathematics 3 Journal of the European Mathematical Society (JEMS) ...and 109 more Serials all top 5 Cited in 49 Fields 1,785 Number theory (11-XX) 510 Combinatorics (05-XX) 268 Special functions (33-XX) 141 Group theory and generalizations (20-XX) 137 Algebraic geometry (14-XX) 78 Nonassociative rings and algebras (17-XX) 73 Quantum theory (81-XX) 36 Associative rings and algebras (16-XX) 28 Functions of a complex variable (30-XX) 27 Relativity and gravitational theory (83-XX) 26 Manifolds and cell complexes (57-XX) 17 Commutative algebra (13-XX) 16 Computer science (68-XX) 14 Probability theory and stochastic processes (60-XX) 12 Real functions (26-XX) 11 Field theory and polynomials (12-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 History and biography (01-XX) 10 Topological groups, Lie groups (22-XX) 9 Differential geometry (53-XX) 9 Information and communication theory, circuits (94-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Sequences, series, summability (40-XX) 8 Approximations and expansions (41-XX) 7 Integral transforms, operational calculus (44-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Category theory; homological algebra (18-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Ordinary differential equations (34-XX) 4 Partial differential equations (35-XX) 4 Algebraic topology (55-XX) 3 \(K\)-theory (19-XX) 3 Difference and functional equations (39-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General algebraic systems (08-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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