Edit Profile (opens in new tab) Ono, Ken Compute Distance To: Compute Author ID: ono.ken Published as: Ono, Ken; Ono, K. External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 180 Publications since 1994, including 3 Books 5 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 87 Co-Authors with 139 Joint Publications 1,741 Co-Co-Authors all top 5 Co-Authors 45 single-authored 17 Bringmann, Kathrin 14 Rolen, Larry 13 Griffin, Michael J. 11 Bruinier, Jan Hendrik 10 Ahlgren, Scott D. 7 Folsom, Amanda L. 6 Andrews, George Eyre 5 Balog, Antal 5 Kohnen, Winfried 5 Wagner, Ian 4 Berndt, Bruce Carl 4 Duncan, John F. R. 4 Kent, Zachary A. 4 Mertens, Michael Helmut 4 Papanikolas, Matthew A. 4 Penniston, David 4 Rhoades, Robert C. 4 Soundararajan, Kannan 3 Alladi, Krishnaswami 3 Dawsey, Madeline Locus 3 James, Kevin 3 Kane, Ben 3 Löbrich, Steffen 3 Malmendier, Andreas 3 Skinner, Christopher M. 3 Trebat-Leder, Sarah 3 Tsai, Wei-Lun 3 Warnaar, S. Ole 2 Bessenrodt, Christine 2 El-Guindy, Ahmad 2 Frechette, Sharon M. 2 Guerzhoy, Pavel I. 2 Guo, Li 2 Haglund, James 2 Jiménez-Urroz, Jorge 2 Jin, Seokho 2 Lovejoy, Jeremy 2 Ma, Wenjun 2 McGraw, William J. 2 Ramsey, Nick 2 Robins, Sinai 2 Sze, Lawrence 2 Wilson, Brad 1 Aczel, Amir D. 1 Adem, Alejandro 1 Alfes-Neumann, Claudia 1 Ardila, Federico 1 Balakrishnan, Jennifer S. 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 Craig, William 1 Darmon, Henri René 1 Daubechies, Ingrid Chantal 1 Eichhorn, Dennis 1 Ekhad, Shalosh B. (computer) 1 Elkies, Noam David 1 Ghoussoub, Nassif A. 1 Gillespie, Maria Monks 1 Gillman, Nate 1 González, Xavier Ignacio 1 Gordon, Basil 1 Granville, Andrew James 1 Guralnick, Robert Michael 1 Han, Guo-Niu 1 Jeffrey, Lisa Claire 1 Kachru, Shamit 1 Keigher, William F. 1 Łaba, Izabella 1 Mahlburg, Karl 1 Martin, Yves-Loïc 1 Masri, Riad 1 Mazur, Barry 1 McIntosh, Richard J. 1 Milas, Antun 1 Mortenson, Eric T. 1 Nowakowski, Richard Joseph 1 Olsson, Jorn Borling 1 Ono, Takashi 1 Raji, Wissam 1 Robbins, Neville 1 Rouse, Jeremy A. 1 Schoenbauer, Matthew 1 Sutherland, Andrew V. 1 Taguchi, Yuichiro 1 Thorner, Jesse 1 Tripp, Zachary 1 Vatsal, Vinayak 1 Vaughan, Robert C. 1 Wagner, David Gustav 1 Wahl, Patrick T. 1 Yang, Tonghai 1 Zagier, Don Bernard 1 Zeilberger, Doron all top 5 Serials 11 Journal of Number Theory 10 Proceedings of the National Academy of Sciences of the United States of America 9 Acta Arithmetica 9 Advances in Mathematics 9 Mathematische Annalen 8 Proceedings of the American Mathematical Society 7 Journal of Combinatorial Theory. Series A 6 Compositio Mathematica 6 The Ramanujan Journal 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 Journal of the London Mathematical Society. Second Series 3 Transactions of the American Mathematical Society 3 Annals of Combinatorics 3 International Journal of Number Theory 3 Research in Number Theory 2 American Journal of Mathematics 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Illinois Journal of Mathematics 2 The Journal of the Indian Mathematical Society. New Series 2 Proceedings of the Japan Academy. Series A 2 Hardy-Ramanujan Journal 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 American Mathematical Monthly 1 Discrete Mathematics 1 Rocky Mountain Journal of Mathematics 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 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 Geometry & Topology 1 The Quarterly Journal of Mathematics 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 Forum of Mathematics, Pi 1 CBMS Regional Conference Series in Mathematics all top 5 Fields 175 Number theory (11-XX) 36 Combinatorics (05-XX) 26 Special functions (33-XX) 17 Algebraic geometry (14-XX) 11 History and biography (01-XX) 11 Group theory and generalizations (20-XX) 8 General and overarching topics; collections (00-XX) 6 Nonassociative rings and algebras (17-XX) 3 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-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 Operator theory (47-XX) 1 Convex and discrete geometry (52-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 153 Publications have been cited 2,786 times in 1,518 Documents Cited by ▼ Year ▼ The web of modularity: arithmetic of the coefficients of modular forms and \(q\)-series. Zbl 1119.11026Ono, Ken 342 2004 Unearthing the visions of a master: harmonic Maass forms and number theory. Zbl 1229.11074Ono, Ken 107 2009 Dyson’s ranks and Maass forms. Zbl 1277.11096Bringmann, Kathrin; Ono, Ken 97 2010 The \(f(q)\) mock theta function conjecture and partition ranks. Zbl 1135.11057Bringmann, Kathrin; Ono, Ken 97 2006 Defect zero \(p\)-blocks for finite simple groups. Zbl 0855.20007Granville, Andrew; Ono, Ken 96 1996 Distribution of the partition function modulo \(m\). Zbl 0984.11050Ono, Ken 89 2000 Heegner divisors, \(L\)-functions and harmonic weak Maass forms. Zbl 1244.11046Bruinier, Jan; Ono, Ken 82 2010 A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002Ahlgren, Scott; Ono, Ken 77 2000 Harmonic Maass forms and mock modular forms: theory and applications. Zbl 1459.11118Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry 72 2017 Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues. Zbl 1246.11098Bruinier, Jan H.; Ono, Ken; Rhoades, Robert C. 60 2008 Divisibility of certain partition functions by powers of primes. Zbl 0907.11036Gordon, Basil; Ono, Ken 57 1997 Mock theta functions and quantum modular forms. Zbl 1294.11083Folsom, Amanda; Ono, Ken; Rhoades, Robert C. 51 2013 Congruence properties for the partition function. Zbl 1114.11310Ahlgren, Scott; Ono, Ken 51 2001 Values of Gaussian hypergeometric series. Zbl 0910.11054Ono, Ken 46 1998 Non-vanishing of quadratic twists of modular \(L\)-functions. Zbl 0937.11017Ono, Ken; Skinner, Christopher 43 1998 The arithmetic of the values of modular functions and the divisors of modular forms. Zbl 1060.11019Bruinier, Jan H.; Kohnen, Winfried; Ono, Ken 42 2004 Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series. Zbl 1154.11015Bringmann, Kathrin; Ono, Ken 41 2007 Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. Zbl 1304.11021Bruinier, Jan Hendrik; Ono, Ken 38 2013 Eulerian series as modular forms. Zbl 1208.11065Bringmann, Kathrin; Ono, Ken; Rhoades, Robert C. 35 2008 \(q\)-series identities and values of certain \(L\)-functions. Zbl 1005.11048Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken 35 2001 Proof of the umbral moonshine conjecture. Zbl 1383.11052Duncan, John F. R.; Griffin, Michael J.; Ono, Ken 33 2015 Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029Frechette, Sharon; Ono, Ken; Papanikolas, Matthew 32 2004 Hilbert class polynomials and traces of singular moduli. Zbl 1091.11011Bruinier, Jan Hendrik; Jenkins, Paul; Ono, Ken 30 2006 Eichler-Shimura theory for mock modular forms. Zbl 1312.11039Bringmann, Kathrin; Guerzhoy, Pavel; Kent, Zachary; Ono, Ken 29 2013 Fourier coefficients of half-integral weight modular forms modulo \(\ell\). Zbl 0907.11017Ono, Ken; Skinner, Christopher 28 1998 The 2-adic behavior of the number of partitions into distinct parts. Zbl 0972.05003Ono, Ken; Penniston, David 26 2000 Euler’s concordant forms. Zbl 0863.11038Ono, Ken 26 1996 Parity of the partition function in arithmetic progressions. Zbl 0835.11038Ono, Ken 26 1996 Coefficients of harmonic Maass forms. Zbl 1333.11040Bringmann, Kathrin; Ono, Ken 25 2012 Baxter algebras and Hopf algebras. Zbl 1056.16025Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken 25 2003 Lifting cusp forms to Maass forms with an application to partitions. Zbl 1191.11013Bringmann, Kathrin; Ono, Ken 24 2006 Ramanujan’s ternary quadratic form. Zbl 0930.11022Ono, Ken; Soundararajan, K. 23 1997 Moonshine. Zbl 1380.11030Duncan, John F. R.; Griffin, Michael J.; Ono, Ken 22 2015 Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication. Zbl 0931.11044Kohnen, Winfried; Ono, Ken 22 1999 Eta-quotients and elliptic curves. Zbl 0894.11020Martin, Yves; Ono, Ken 22 1997 Arithmetic of singular moduli and class polynomials. Zbl 1133.11036Ahlgren, Scott; Ono, Ken 22 2005 The Chebotarev density theorem in short intervals and some questions of Serre. Zbl 1016.11053Balog, Antal; Ono, Ken 22 2001 Ramanujan’s mock theta functions. Zbl 1295.11038Griffin, Michael; Ono, Ken; Rolen, Larry 20 2013 Maximal multiplicative properties of partitions. Zbl 1332.05013Bessenrodt, Christine; Ono, Ken 20 2016 \(p\)-adic coupling of mock modular forms and shadows. Zbl 1205.11047Guerzhoy, Pavel; Kent, Zachary A.; Ono, Ken 19 2010 Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031Ahlgren, Scott; Ono, Ken 19 2000 A framework of Rogers-Ramanujan identities and their arithmetic properties. Zbl 1405.11140Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole 18 2016 4-core partitions and class numbers. Zbl 0868.11047Ono, Ken; Sze, Lawrence 18 1997 Linear relations between modular form coefficients and non-ordinary primes. Zbl 1155.11325Choie, YoungJu; Kohnen, Winfried; Ono, Ken 18 2005 Congruences for Frobenius partitions. Zbl 0852.11057Ono, Ken 17 1996 Ramanujan’s unpublished manuscript on the partition and tau functions with proofs and commentary. Zbl 0932.11002Berndt, Bruce C.; Ono, Ken 17 1999 Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don 17 2019 Nonvanishing of quadratic twists of modular \(L\)-functions and applications to elliptic curves. Zbl 1065.11032Ono, Ken 16 2001 On the representation of integers as sums of triangular numbers. Zbl 0828.11057Ono, Ken; Robins, Sinai; Wahl, Patrick T. 16 1995 Some characters of Kac and Wakimoto and nonholomorphic modular functions. Zbl 1262.11059Bringmann, Kathrin; Ono, Ken 15 2009 Prime power degree representations of the symmetric and alternating groups. Zbl 1018.20008Balog, Antal; Bessenrodt, Christine; Olsson, Jørn B.; Ono, Ken 15 2001 Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323Elkies, Noam; Ono, Ken; Yang, Tonghai 15 2005 An arithmetic formula for the partition function. Zbl 1156.11040Bringmann, Kathrin; Ono, Ken 15 2007 Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry 14 2015 Congruences for the Andrews spt function. Zbl 1286.11168Ono, Ken 14 2011 2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014Ono, Ken; Taguchi, Yuichiro 14 2005 \(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey. Zbl 1247.11131Folsom, Amanda; Kent, Zachary A.; Ono, Ken 13 2012 SO(3)-Donaldson invariants of \(\mathbb CP^{2}\) and mock theta functions. Zbl 1255.57028Malmendier, Andreas; Ono, Ken 13 2012 On the circular summation of the eleventh powers of Ramanujan’s theta function. Zbl 0927.11025Ono, Ken 13 1999 Duality involving the mock theta function \(f(q)\). Zbl 1189.11026Folsom, Amanda; Ono, Ken 13 2008 Ramanujan’s radial limits. Zbl 1359.11064Folsom, Amanda; Ono, Ken; Rhoades, Robert C. 12 2014 Class polynomials for nonholomorphic modular functions. Zbl 1332.11047Bruinier, Jan Hendrik; Ono, Ken; Sutherland, Andrew V. 12 2016 Parity of the partition function. Zbl 1234.11139Ono, Ken 12 2010 Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan 12 2016 A \(q\)-series identity and the arithmetic of Hurwitz zeta functions. Zbl 1082.11011Coogan, Gwynneth H.; Ono, Ken 11 2003 Coefficients of half-integral weight modular forms. Zbl 1090.11028Bruinier, Jan H.; Ono, Ken 11 2003 Zeta functions of an infinite family of \(K3\) surfaces. Zbl 1065.14023Ahlgren, Scott; Ono, Ken; Penniston, David 11 2002 Addition and counting: The arithmetic of partitions. Zbl 1024.11063Ahlgren, Scott; Ono, Ken 10 2001 Representations of integers as sums of squares. Zbl 1125.11321Ono, Ken 9 2002 Selmer groups of quadratic twists of elliptic curves. Zbl 0934.11031James, Kevin; Ono, Ken 9 1999 Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants. Zbl 1077.11048Ahlgren, Scott; Ono, Ken 9 2003 Indivisibility of class numbers of real quadratic fields. Zbl 1002.11080Ono, Ken 9 1999 The arithmetic of Borcherds’ exponents. Zbl 1195.11061Bruinier, Jan H.; Ono, Ken 9 2003 Hypergeometric generating functions for values of Dirichlet and other \(L\) functions. Zbl 1070.33016Lovejoy, Jeremy; Ono, Ken 9 2003 Hook lengths and 3-cores. Zbl 1233.05030Han, Guo-Niu; Ono, Ken 8 2011 Congruences for partition functions. Zbl 0852.11056Eichhorn, Dennis; Ono, Ken 8 1996 On divisors of modular forms. Zbl 1447.11056Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen; Ono, Ken; Rolen, Larry 8 2018 The partition function in arithmetic progressions. Zbl 0914.11054Ono, Ken 8 1998 Theorems and conjectures involving rook polynomials with only real zeros. Zbl 0928.05003Haglund, James; Ono, Ken; Wagner, David G. 8 1999 Extension of Ramanujan’s congruences for the partition function modulo powers of 5. Zbl 0989.11054Lovejoy, Jeremy; Ono, Ken 8 2002 On the positivity of the number of \(t\)-core partitions. Zbl 0793.11027Ono, Ken 8 1994 Superlacunary cusp forms. Zbl 0826.11017Ono, Ken; Robins, Sinai 7 1995 A note on the number of \(t\)-core partitions. Zbl 0852.11055Ono, Ken 7 1995 A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron 7 1998 Combinatorics of traces of Hecke operators. Zbl 1064.11038Frechette, Sharon; Ono, Ken; Papanikolas, Matthew 7 2004 Black holes and class groups. Zbl 1455.11065Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry 7 2018 Congruences and conjectures for the partition function. Zbl 1009.11059Ahlgren, Scott; Ono, Ken 7 2001 Special values of shifted convolution Dirichlet series. Zbl 1397.11083Mertens, Michael H.; Ono, Ken 6 2016 Moonshine for \(M_{24}\) and Donaldson invariants of \(\mathbb{C} \text{P}^2\). Zbl 1274.57009Malmendier, Andreas; Ono, Ken 6 2012 Zeta-polynomials for modular form periods. Zbl 1392.11023Ono, Ken; Rolen, Larry; Sprung, Florian 6 2017 A mock theta function for the delta-function. Zbl 1230.11056Ono, Ken 6 2009 \(q\)-series and weight 3/2 Maass forms. Zbl 1233.11048Bringmann, Kathrin; Folsom, Amanda; Ono, Ken 6 2009 Parity of the partition function in arithmetic progressions. II. Zbl 1031.11063Boylan, Matthew; Ono, Ken 6 2001 Arithmetic of certain hypergeometric modular forms. Zbl 1100.11015Mahlburg, Karl; Ono, Ken 6 2004 Congruences for Fourier coefficients of half-integral weight modular forms and special values of \(L\)-functions. Zbl 0863.11031Balog, Antal; Darmon, Henri; Ono, Ken 6 1996 Twists of elliptic curves. Zbl 0887.11025Ono, K. 6 1997 Congruences on the Fourier coefficients of modular forms on \(\Gamma_ 0(N)\). Zbl 0812.11029Ono, Ken 6 1994 The Jack Daniels problem. Zbl 1337.11026Duncan, John F. R.; Ono, Ken 5 2016 The last words of a genius. Zbl 1219.01017Ono, Ken 5 2010 Identities and congruences for Ramanujan’s \(\omega (q)\). Zbl 1217.11048Bruinier, Jan H.; Ono, Ken 4 2010 Quadratic twists of elliptic curves and class numbers. Zbl 1483.11113Griffin, Michael; Ono, Ken; Tsai, Wei-Lun 2 2021 Class numbers and self-conjugate 7-cores. Zbl 1459.05012Ono, Ken; Raji, Wissam 1 2021 Mock modular Eisenstein series with Nebentypus. Zbl 1471.11136Mertens, Michael H.; Ono, Ken; Rolen, Larry 1 2021 Elliptic curves and lower bounds for class numbers. Zbl 1481.11109Griffin, Michael; Ono, Ken 4 2020 Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don 17 2019 Multiquadratic fields generated by characters of \(A_n\). Zbl 07074201Locus Dawsey, Madeline; Ono, Ken; Wagner, Ian 1 2019 On divisors of modular forms. Zbl 1447.11056Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen; Ono, Ken; Rolen, Larry 8 2018 Black holes and class groups. Zbl 1455.11065Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry 7 2018 Harmonic Maass forms and mock modular forms: theory and applications. Zbl 1459.11118Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry 72 2017 Zeta-polynomials for modular form periods. Zbl 1392.11023Ono, Ken; Rolen, Larry; Sprung, Florian 6 2017 Partition-theoretic formulas for arithmetic densities. Zbl 1416.11151Ono, Ken; Schneider, Robert; Wagner, Ian 3 2017 Maximal multiplicative properties of partitions. Zbl 1332.05013Bessenrodt, Christine; Ono, Ken 20 2016 A framework of Rogers-Ramanujan identities and their arithmetic properties. Zbl 1405.11140Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole 18 2016 Class polynomials for nonholomorphic modular functions. Zbl 1332.11047Bruinier, Jan Hendrik; Ono, Ken; Sutherland, Andrew V. 12 2016 Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan 12 2016 Special values of shifted convolution Dirichlet series. Zbl 1397.11083Mertens, Michael H.; Ono, Ken 6 2016 The Jack Daniels problem. Zbl 1337.11026Duncan, John F. R.; Ono, Ken 5 2016 \(p\)-adic properties of modular shifted convolution Dirichlet series. Zbl 1397.11082Bringmann, Kathrin; Mertens, Michael H.; Ono, Ken 3 2016 The 1729 \(K3\) surface. Zbl 1352.14014Ono, Ken; Trebat-Leder, Sarah 1 2016 A note on non-ordinary primes. Zbl 1417.11056Jin, Seokho; Ma, Wenjun; Ono, Ken 1 2016 Proof of the umbral moonshine conjecture. Zbl 1383.11052Duncan, John F. R.; Griffin, Michael J.; Ono, Ken 33 2015 Moonshine. Zbl 1380.11030Duncan, John F. R.; Griffin, Michael J.; Ono, Ken 22 2015 Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry 14 2015 SU(2)-Donaldson invariants of the complex projective plane. Zbl 1383.57035Griffin, Michael; Malmendier, Andreas; Ono, Ken 4 2015 Classical and umbral moonshine: connections and \(p\)-adic properties. Zbl 1425.11072Ono, Ken; Rolen, Larry; Trebat-Leder, Sarah 3 2015 Ramanujan’s radial limits. Zbl 1359.11064Folsom, Amanda; Ono, Ken; Rhoades, Robert C. 12 2014 Mock theta functions and quantum modular forms. Zbl 1294.11083Folsom, Amanda; Ono, Ken; Rhoades, Robert C. 51 2013 Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. Zbl 1304.11021Bruinier, Jan Hendrik; Ono, Ken 38 2013 Eichler-Shimura theory for mock modular forms. Zbl 1312.11039Bringmann, Kathrin; Guerzhoy, Pavel; Kent, Zachary; Ono, Ken 29 2013 Ramanujan’s mock theta functions. Zbl 1295.11038Griffin, Michael; Ono, Ken; Rolen, Larry 20 2013 Hasse invariants for the Clausen elliptic curves. Zbl 1287.11079El-Guindy, Ahmad; Ono, Ken 4 2013 Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole 1 2013 Coefficients of harmonic Maass forms. Zbl 1333.11040Bringmann, Kathrin; Ono, Ken 25 2012 \(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey. Zbl 1247.11131Folsom, Amanda; Kent, Zachary A.; Ono, Ken 13 2012 SO(3)-Donaldson invariants of \(\mathbb CP^{2}\) and mock theta functions. Zbl 1255.57028Malmendier, Andreas; Ono, Ken 13 2012 Moonshine for \(M_{24}\) and Donaldson invariants of \(\mathbb{C} \text{P}^2\). Zbl 1274.57009Malmendier, Andreas; Ono, Ken 6 2012 A mod \(\ell\) Atkin-Lehner theorem and applications. Zbl 1276.11067Ono, Ken; Ramsey, Nick 3 2012 Congruences for the Andrews spt function. Zbl 1286.11168Ono, Ken 14 2011 Hook lengths and 3-cores. Zbl 1233.05030Han, Guo-Niu; Ono, Ken 8 2011 The partition function and Hecke operators. Zbl 1260.11061Ono, Ken 2 2011 Modular forms arising from \(Q(n)\) and Dyson’s rank. Zbl 1227.11063Monks, Maria; Ono, Ken 1 2011 Dyson’s ranks and Maass forms. Zbl 1277.11096Bringmann, Kathrin; Ono, Ken 97 2010 Heegner divisors, \(L\)-functions and harmonic weak Maass forms. Zbl 1244.11046Bruinier, Jan; Ono, Ken 82 2010 \(p\)-adic coupling of mock modular forms and shadows. Zbl 1205.11047Guerzhoy, Pavel; Kent, Zachary A.; Ono, Ken 19 2010 Parity of the partition function. Zbl 1234.11139Ono, Ken 12 2010 The last words of a genius. Zbl 1219.01017Ono, Ken 5 2010 Identities and congruences for Ramanujan’s \(\omega (q)\). Zbl 1217.11048Bruinier, Jan H.; Ono, Ken 4 2010 Gauss’s F hypergeometric function and the congruent number elliptic curve. Zbl 1236.11044El-Guindy, Ahmad; Ono, Ken 3 2010 Unearthing the visions of a master: harmonic Maass forms and number theory. Zbl 1229.11074Ono, Ken 107 2009 Some characters of Kac and Wakimoto and nonholomorphic modular functions. Zbl 1262.11059Bringmann, Kathrin; Ono, Ken 15 2009 A mock theta function for the delta-function. Zbl 1230.11056Ono, Ken 6 2009 \(q\)-series and weight 3/2 Maass forms. Zbl 1233.11048Bringmann, Kathrin; Folsom, Amanda; Ono, Ken 6 2009 Algebraicity of harmonic Maass forms. Zbl 1247.11053Ono, Ken 1 2009 Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues. Zbl 1246.11098Bruinier, Jan H.; Ono, Ken; Rhoades, Robert C. 60 2008 Eulerian series as modular forms. Zbl 1208.11065Bringmann, Kathrin; Ono, Ken; Rhoades, Robert C. 35 2008 Duality involving the mock theta function \(f(q)\). Zbl 1189.11026Folsom, Amanda; Ono, Ken 13 2008 Number theoretic properties of Wronskians of Andrews-Gordon series. Zbl 1214.11050Milas, Antun; Mortenson, Eric; Ono, Ken 2 2008 Mock theta functions, ranks, and Maass forms. Zbl 1183.11064Ono, Ken 1 2008 Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series. Zbl 1154.11015Bringmann, Kathrin; Ono, Ken 41 2007 An arithmetic formula for the partition function. Zbl 1156.11040Bringmann, Kathrin; Ono, Ken 15 2007 Lehmer’s conjecture on Ramanujan’s tau-function. Zbl 1223.11053Ono, Ken 3 2007 Singular moduli generating functions for modular curves and surfaces. Zbl 1214.11057Ono, Ken 2 2007 The \(f(q)\) mock theta function conjecture and partition ranks. Zbl 1135.11057Bringmann, Kathrin; Ono, Ken 97 2006 Hilbert class polynomials and traces of singular moduli. Zbl 1091.11011Bruinier, Jan Hendrik; Jenkins, Paul; Ono, Ken 30 2006 Lifting cusp forms to Maass forms with an application to partitions. Zbl 1191.11013Bringmann, Kathrin; Ono, Ken 24 2006 Honoring a gift from Kumbakonam. Zbl 1094.01012Ono, Ken 1 2006 Divisibility criteria for class numbers of imaginary quadratic fields. Zbl 1153.11055Jenkins, Paul; Ono, Ken 1 2006 Arithmetic of singular moduli and class polynomials. Zbl 1133.11036Ahlgren, Scott; Ono, Ken 22 2005 Linear relations between modular form coefficients and non-ordinary primes. Zbl 1155.11325Choie, YoungJu; Kohnen, Winfried; Ono, Ken 18 2005 Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323Elkies, Noam; Ono, Ken; Yang, Tonghai 15 2005 2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014Ono, Ken; Taguchi, Yuichiro 14 2005 Traces of singular moduli on Hilbert modular surfaces. Zbl 1109.11028Bringmann, Kathrin; Ono, Ken; Rouse, Jeremy 3 2005 Identities for traces of singular moduli. Zbl 1163.11324Bringmann, Kathrin; Ono, Ken 2 2005 Ramanujan’s congruences and Dyson’s crank. Zbl 1155.11349Andrews, George E.; Ono, Ken 2 2005 The web of modularity: arithmetic of the coefficients of modular forms and \(q\)-series. Zbl 1119.11026Ono, Ken 342 2004 The arithmetic of the values of modular functions and the divisors of modular forms. Zbl 1060.11019Bruinier, Jan H.; Kohnen, Winfried; Ono, Ken 42 2004 Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029Frechette, Sharon; Ono, Ken; Papanikolas, Matthew 32 2004 Combinatorics of traces of Hecke operators. Zbl 1064.11038Frechette, Sharon; Ono, Ken; Papanikolas, Matthew 7 2004 Arithmetic of certain hypergeometric modular forms. Zbl 1100.11015Mahlburg, Karl; Ono, Ken 6 2004 Partitions and McKay numbers for \(S_n\). Zbl 1119.11062Ono, Ken 1 2004 \(p\)-adic properties of values of the modular \(j\)-function. Zbl 1082.11024Ono, Ken; Papanikolas, Matthew A. 1 2004 Hecke operators and the \(q\)-expansion of modular forms. Zbl 1081.11033Ono, Ken 1 2004 Baxter algebras and Hopf algebras. Zbl 1056.16025Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken 25 2003 A \(q\)-series identity and the arithmetic of Hurwitz zeta functions. Zbl 1082.11011Coogan, Gwynneth H.; Ono, Ken 11 2003 Coefficients of half-integral weight modular forms. Zbl 1090.11028Bruinier, Jan H.; Ono, Ken 11 2003 Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants. Zbl 1077.11048Ahlgren, Scott; Ono, Ken 9 2003 The arithmetic of Borcherds’ exponents. Zbl 1195.11061Bruinier, Jan H.; Ono, Ken 9 2003 Hypergeometric generating functions for values of Dirichlet and other \(L\) functions. Zbl 1070.33016Lovejoy, Jeremy; Ono, Ken 9 2003 Elements of class groups and Shafarevich-Tate groups of elliptic curves. Zbl 1048.11044Balog, Antal; Ono, Ken 4 2003 Modular form congruence and Selmer groups. Zbl 1057.11027McGraw, William J.; Ono, Ken 2 2003 The life and work of R. A. Rankin (1915–2001). Zbl 1039.01011Berndt, Bruce C.; Kohnen, Winfried; Ono, Ken 2 2003 Zeta functions of an infinite family of \(K3\) surfaces. Zbl 1065.14023Ahlgren, Scott; Ono, Ken; Penniston, David 11 2002 Representations of integers as sums of squares. Zbl 1125.11321Ono, Ken 9 2002 Extension of Ramanujan’s congruences for the partition function modulo powers of 5. Zbl 0989.11054Lovejoy, Jeremy; Ono, Ken 8 2002 Congruences for \({}_3F_2\) hypergeometric functions over finite fields. Zbl 1026.11091Ono, Ken; Penniston, David 1 2002 Quadratic twists of modular forms and elliptic curves. Zbl 1176.11022Ono, Ken; Papanikolas, Matthew A. 1 2002 Congruence properties for the partition function. Zbl 1114.11310Ahlgren, Scott; Ono, Ken 51 2001 \(q\)-series identities and values of certain \(L\)-functions. Zbl 1005.11048Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken 35 2001 The Chebotarev density theorem in short intervals and some questions of Serre. Zbl 1016.11053Balog, Antal; Ono, Ken 22 2001 Nonvanishing of quadratic twists of modular \(L\)-functions and applications to elliptic curves. Zbl 1065.11032Ono, Ken 16 2001 ...and 53 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,217 Authors 75 Bringmann, Kathrin 72 Ono, Ken 31 Folsom, Amanda L. 31 Kane, Ben 29 Rolen, Larry 26 Kim, Chang Heon 24 Choi, Dohoon 22 Barman, Rupam 22 Lovejoy, Jeremy 21 Kim, Byungchan 20 Lim, Subong 19 Bruinier, Jan Hendrik 19 Heim, Bernhard Ernst 18 Ahlgren, Scott D. 18 Rhoades, Robert C. 17 Choi, Soyoung 17 Guerzhoy, Pavel I. 16 Neuhauser, Markus 16 Swisher, Holly 15 Mahlburg, Karl 14 Kang, Soon-Yi 14 Wang, Liuquan 13 Choie, YoungJu 13 Jennings-Shaffer, Chris 12 Alkan, Emre 12 Griffin, Michael J. 12 Guo, Li 12 Long, Ling 12 McCarthy, Dermot 12 Mortenson, Eric T. 12 Osburn, Robert 12 Schwagenscheidt, Markus 12 Xia, Ernest X. W. 11 Alfes-Neumann, Claudia 11 Duncan, John F. R. 11 Kalita, Gautam 11 Kohnen, Winfried 11 Richter, Olav K. 11 Voskresenskaya, Galina Valentinovna 10 Baruah, Nayandeep Deka 10 Cheng, Miranda C. N. 10 Garvan, Frank G. 10 Jameson, Marie 10 Masri, Riad 10 Zaharescu, Alexandru 10 Zudilin, Wadim 9 Andrews, George Eyre 9 Chen, Shichao 9 Gu, Nancy Shan Shan 9 Jeon, Daeyeol 9 Li, Yingkun 9 Lin, Bernard L. S. 9 Radu, Cristian-Silviu 9 Sellers, James Allen 9 Thorner, Jesse 9 Wagner, Ian 8 Andersen, Nickolas 8 Berndt, Bruce Carl 8 Bessenrodt, Christine 8 Chen, William Yong-Chuan 8 Dai, Haobo 8 Hikami, Kazuhiro 8 Mertens, Michael Helmut 8 Penniston, David 8 Raum, Martin 8 Tong-Viet, Hung P. 7 Aygin, Zafer Selçuk 7 Chan, Heng Huat 7 Garthwaite, Sharon Anne 7 Harrison, Sarah M. 7 James, Kevin 7 Kent, Zachary A. 7 Löbrich, Steffen 7 Milas, Antun 7 Rouse, Jeremy A. 7 Saikia, Neelam 7 Webb, John J. B. 6 Cui, Su-Ping 6 Guo, Victor J. W. 6 Keith, William J. 6 Larson, Hannah K. 6 Luo, Qiuming 6 Ray, Chiranjit 6 Samart, Detchat 6 Sills, Andrew V. 6 Tu, Fang-Ting 6 Yao, Olivia Xiang Mei 6 Ye, Dongxi 5 Beneish, Lea 5 Boylan, Matthew 5 Byeon, Dongho 5 Chan, Heichi 5 Chan, Song Heng 5 Cooper, Shaun 5 Das, Soumya 5 Dawsey, Madeline Locus 5 Dicks, Robert 5 El-Guindy, Ahmad 5 Evans, Ronald J. 5 Harvey, Jeffrey A. ...and 1,117 more Authors all top 5 Cited in 168 Serials 167 The Ramanujan Journal 151 Journal of Number Theory 124 International Journal of Number Theory 118 Proceedings of the American Mathematical Society 70 Research in Number Theory 57 Advances in Mathematics 53 Research in the Mathematical Sciences 47 Transactions of the American Mathematical Society 31 Journal of Mathematical Analysis and Applications 27 Journal of Combinatorial Theory. Series A 25 Journal of Algebra 25 Annals of Combinatorics 23 Mathematische Annalen 22 Discrete Mathematics 20 Journal of High Energy Physics 17 Archiv der Mathematik 16 Journal de Théorie des Nombres de Bordeaux 15 Mathematics of Computation 15 Proceedings of the Japan Academy. Series A 14 Bulletin of the Australian Mathematical Society 13 Integers 12 Communications in Algebra 12 Functiones et Approximatio. Commentarii Mathematici 12 Mathematische Zeitschrift 12 Advances in Applied Mathematics 11 Duke Mathematical Journal 11 Proceedings of the National Academy of Sciences of the United States of America 10 Mathematical Proceedings of the Cambridge Philosophical Society 9 Acta Arithmetica 9 Mathematics 8 Rocky Mountain Journal of Mathematics 8 Forum Mathematicum 8 The Electronic Journal of Combinatorics 8 Journal of the Australian Mathematical Society 7 Communications in Mathematical Physics 7 Compositio Mathematica 7 Journal of the Ramanujan Mathematical Society 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Israel Journal of Mathematics 6 Mathematical Notes 6 Journal of Pure and Applied Algebra 6 Journal für die Reine und Angewandte Mathematik 6 Manuscripta Mathematica 6 Results in Mathematics 6 Finite Fields and their Applications 6 Open Mathematics 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Journal of Mathematical Physics 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Inventiones Mathematicae 5 Mathematika 5 Experimental Mathematics 5 Séminaire Lotharingien de Combinatoire 5 Journal of Group Theory 5 Journal of Algebra and its Applications 5 Advances in Difference Equations 4 Letters in Mathematical Physics 4 Nagoya Mathematical Journal 4 European Journal of Combinatorics 4 Journal of Symbolic Computation 4 Journal of Mathematical Sciences (New York) 4 Annals of Mathematics. Second Series 4 Electronic Research Archive 3 Glasgow Mathematical Journal 3 International Journal of Mathematics and Mathematical Sciences 3 Monatshefte für Mathematik 3 International Journal of Mathematics 3 Indagationes Mathematicae. New Series 3 Journal of Algebraic Combinatorics 3 Journal of Inequalities and Applications 3 LMS Journal of Computation and Mathematics 3 Journal of the European Mathematical Society (JEMS) 3 Communications of the Korean Mathematical Society 3 Annales Henri Poincaré 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Physics A: Mathematical and Theoretical 3 Algebra & Number Theory 3 Science China. Mathematics 3 Forum of Mathematics, Sigma 3 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 2 Indian Journal of Pure & Applied Mathematics 2 Nuclear Physics. B 2 Annales de l’Institut Fourier 2 Colloquium Mathematicum 2 Journal of the London Mathematical Society. Second Series 2 Memoirs of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Expositiones Mathematicae 2 Selecta Mathematica. New Series 2 Integral Transforms and Special Functions 2 Journal of Difference Equations and Applications 2 Geometry & Topology 2 Algebras and Representation Theory 2 Journal of Integer Sequences 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 68 more Serials all top 5 Cited in 49 Fields 1,328 Number theory (11-XX) 342 Combinatorics (05-XX) 208 Special functions (33-XX) 107 Group theory and generalizations (20-XX) 102 Algebraic geometry (14-XX) 59 Nonassociative rings and algebras (17-XX) 53 Quantum theory (81-XX) 28 Associative rings and algebras (16-XX) 21 Relativity and gravitational theory (83-XX) 20 Manifolds and cell complexes (57-XX) 13 Functions of a complex variable (30-XX) 10 Computer science (68-XX) 9 Differential geometry (53-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 History and biography (01-XX) 8 Topological groups, Lie groups (22-XX) 8 Approximations and expansions (41-XX) 7 Probability theory and stochastic processes (60-XX) 6 Field theory and polynomials (12-XX) 6 Commutative algebra (13-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Real functions (26-XX) 6 Information and communication theory, circuits (94-XX) 5 Integral transforms, operational calculus (44-XX) 4 Category theory; homological algebra (18-XX) 4 Sequences, series, summability (40-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Algebraic topology (55-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 \(K\)-theory (19-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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