## Ono, Ken

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1119.11026
Ono, Ken
2004
Unearthing the visions of a master: harmonic Maass forms and number theory. Zbl 1229.11074
Ono, Ken
2009
Dyson’s ranks and Maass forms. Zbl 1277.11096
Bringmann, Kathrin; Ono, Ken
2010
The $$f(q)$$ mock theta function conjecture and partition ranks. Zbl 1135.11057
Bringmann, Kathrin; Ono, Ken
2006
Defect zero $$p$$-blocks for finite simple groups. Zbl 0855.20007
Granville, Andrew; Ono, Ken
1996
Distribution of the partition function modulo $$m$$. Zbl 0984.11050
Ono, Ken
2000
Heegner divisors, $$L$$-functions and harmonic weak Maass forms. Zbl 1244.11046
Bruinier, Jan; Ono, Ken
2010
A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002
Ahlgren, Scott; Ono, Ken
2000
Harmonic Maass forms and mock modular forms: theory and applications. Zbl 1459.11118
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry
2017
Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues. Zbl 1246.11098
Bruinier, Jan H.; Ono, Ken; Rhoades, Robert C.
2008
Divisibility of certain partition functions by powers of primes. Zbl 0907.11036
Gordon, Basil; Ono, Ken
1997
Mock theta functions and quantum modular forms. Zbl 1294.11083
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
2013
Congruence properties for the partition function. Zbl 1114.11310
Ahlgren, Scott; Ono, Ken
2001
Values of Gaussian hypergeometric series. Zbl 0910.11054
Ono, Ken
1998
Non-vanishing of quadratic twists of modular $$L$$-functions. Zbl 0937.11017
Ono, Ken; Skinner, Christopher
1998
The arithmetic of the values of modular functions and the divisors of modular forms. Zbl 1060.11019
Bruinier, Jan H.; Kohnen, Winfried; Ono, Ken
2004
Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series. Zbl 1154.11015
Bringmann, Kathrin; Ono, Ken
2007
Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. Zbl 1304.11021
Bruinier, Jan Hendrik; Ono, Ken
2013
Eulerian series as modular forms. Zbl 1208.11065
Bringmann, Kathrin; Ono, Ken; Rhoades, Robert C.
2008
$$q$$-series identities and values of certain $$L$$-functions. Zbl 1005.11048
Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken
2001
Proof of the umbral moonshine conjecture. Zbl 1383.11052
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
2015
Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
2004
Hilbert class polynomials and traces of singular moduli. Zbl 1091.11011
Bruinier, Jan Hendrik; Jenkins, Paul; Ono, Ken
2006
Eichler-Shimura theory for mock modular forms. Zbl 1312.11039
Bringmann, Kathrin; Guerzhoy, Pavel; Kent, Zachary; Ono, Ken
2013
Fourier coefficients of half-integral weight modular forms modulo $$\ell$$. Zbl 0907.11017
Ono, Ken; Skinner, Christopher
1998
The 2-adic behavior of the number of partitions into distinct parts. Zbl 0972.05003
Ono, Ken; Penniston, David
2000
Euler’s concordant forms. Zbl 0863.11038
Ono, Ken
1996
Parity of the partition function in arithmetic progressions. Zbl 0835.11038
Ono, Ken
1996
Coefficients of harmonic Maass forms. Zbl 1333.11040
Bringmann, Kathrin; Ono, Ken
2012
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
2003
Lifting cusp forms to Maass forms with an application to partitions. Zbl 1191.11013
Bringmann, Kathrin; Ono, Ken
2006
Ramanujan’s ternary quadratic form. Zbl 0930.11022
Ono, Ken; Soundararajan, K.
1997
Moonshine. Zbl 1380.11030
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
2015
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
1999
Eta-quotients and elliptic curves. Zbl 0894.11020
Martin, Yves; Ono, Ken
1997
Arithmetic of singular moduli and class polynomials. Zbl 1133.11036
Ahlgren, Scott; Ono, Ken
2005
The Chebotarev density theorem in short intervals and some questions of Serre. Zbl 1016.11053
Balog, Antal; Ono, Ken
2001
Ramanujan’s mock theta functions. Zbl 1295.11038
Griffin, Michael; Ono, Ken; Rolen, Larry
2013
Maximal multiplicative properties of partitions. Zbl 1332.05013
Bessenrodt, Christine; Ono, Ken
2016
$$p$$-adic coupling of mock modular forms and shadows. Zbl 1205.11047
Guerzhoy, Pavel; Kent, Zachary A.; Ono, Ken
2010
Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031
Ahlgren, Scott; Ono, Ken
2000
A framework of Rogers-Ramanujan identities and their arithmetic properties. Zbl 1405.11140
Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole
2016
4-core partitions and class numbers. Zbl 0868.11047
Ono, Ken; Sze, Lawrence
1997
Linear relations between modular form coefficients and non-ordinary primes. Zbl 1155.11325
Choie, YoungJu; Kohnen, Winfried; Ono, Ken
2005
Congruences for Frobenius partitions. Zbl 0852.11057
Ono, Ken
1996
Ramanujan’s unpublished manuscript on the partition and tau functions with proofs and commentary. Zbl 0932.11002
Berndt, Bruce C.; Ono, Ken
1999
Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105
Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don
2019
Nonvanishing of quadratic twists of modular $$L$$-functions and applications to elliptic curves. Zbl 1065.11032
Ono, Ken
2001
On the representation of integers as sums of triangular numbers. Zbl 0828.11057
Ono, Ken; Robins, Sinai; Wahl, Patrick T.
1995
Some characters of Kac and Wakimoto and nonholomorphic modular functions. Zbl 1262.11059
Bringmann, Kathrin; Ono, Ken
2009
Prime power degree representations of the symmetric and alternating groups. Zbl 1018.20008
Balog, Antal; Bessenrodt, Christine; Olsson, Jørn B.; Ono, Ken
2001
Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323
Elkies, Noam; Ono, Ken; Yang, Tonghai
2005
An arithmetic formula for the partition function. Zbl 1156.11040
Bringmann, Kathrin; Ono, Ken
2007
Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019
Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry
2015
Congruences for the Andrews spt function. Zbl 1286.11168
Ono, Ken
2011
2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014
Ono, Ken; Taguchi, Yuichiro
2005
$$\ell$$-adic properties of the partition function. Appendix A by Nick Ramsey. Zbl 1247.11131
Folsom, Amanda; Kent, Zachary A.; Ono, Ken
2012
SO(3)-Donaldson invariants of $$\mathbb CP^{2}$$ and mock theta functions. Zbl 1255.57028
Malmendier, Andreas; Ono, Ken
2012
On the circular summation of the eleventh powers of Ramanujan’s theta function. Zbl 0927.11025
Ono, Ken
1999
Duality involving the mock theta function $$f(q)$$. Zbl 1189.11026
Folsom, Amanda; Ono, Ken
2008
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
2014
Class polynomials for nonholomorphic modular functions. Zbl 1332.11047
Bruinier, Jan Hendrik; Ono, Ken; Sutherland, Andrew V.
2016
Parity of the partition function. Zbl 1234.11139
Ono, Ken
2010
Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
2016
A $$q$$-series identity and the arithmetic of Hurwitz zeta functions. Zbl 1082.11011
Coogan, Gwynneth H.; Ono, Ken
2003
Coefficients of half-integral weight modular forms. Zbl 1090.11028
Bruinier, Jan H.; Ono, Ken
2003
Zeta functions of an infinite family of $$K3$$ surfaces. Zbl 1065.14023
Ahlgren, Scott; Ono, Ken; Penniston, David
2002
Addition and counting: The arithmetic of partitions. Zbl 1024.11063
Ahlgren, Scott; Ono, Ken
2001
Representations of integers as sums of squares. Zbl 1125.11321
Ono, Ken
2002
Selmer groups of quadratic twists of elliptic curves. Zbl 0934.11031
James, Kevin; Ono, Ken
1999
Weierstrass points on $$X_0(p)$$ and supersingular $$j$$-invariants. Zbl 1077.11048
Ahlgren, Scott; Ono, Ken
2003
Indivisibility of class numbers of real quadratic fields. Zbl 1002.11080
Ono, Ken
1999
The arithmetic of Borcherds’ exponents. Zbl 1195.11061
Bruinier, Jan H.; Ono, Ken
2003
Hypergeometric generating functions for values of Dirichlet and other $$L$$ functions. Zbl 1070.33016
Lovejoy, Jeremy; Ono, Ken
2003
Hook lengths and 3-cores. Zbl 1233.05030
Han, Guo-Niu; Ono, Ken
2011
Congruences for partition functions. Zbl 0852.11056
Eichhorn, Dennis; Ono, Ken
1996
On divisors of modular forms. Zbl 1447.11056
Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen; Ono, Ken; Rolen, Larry
2018
The partition function in arithmetic progressions. Zbl 0914.11054
Ono, Ken
1998
Theorems and conjectures involving rook polynomials with only real zeros. Zbl 0928.05003
Haglund, James; Ono, Ken; Wagner, David G.
1999
Extension of Ramanujan’s congruences for the partition function modulo powers of 5. Zbl 0989.11054
Lovejoy, Jeremy; Ono, Ken
2002
On the positivity of the number of $$t$$-core partitions. Zbl 0793.11027
Ono, Ken
1994
Superlacunary cusp forms. Zbl 0826.11017
Ono, Ken; Robins, Sinai
1995
A note on the number of $$t$$-core partitions. Zbl 0852.11055
Ono, Ken
1995
A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017
Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron
1998
Combinatorics of traces of Hecke operators. Zbl 1064.11038
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
2004
Black holes and class groups. Zbl 1455.11065
Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry
2018
Congruences and conjectures for the partition function. Zbl 1009.11059
Ahlgren, Scott; Ono, Ken
2001
Special values of shifted convolution Dirichlet series. Zbl 1397.11083
Mertens, Michael H.; Ono, Ken
2016
Moonshine for $$M_{24}$$ and Donaldson invariants of $$\mathbb{C} \text{P}^2$$. Zbl 1274.57009
Malmendier, Andreas; Ono, Ken
2012
Zeta-polynomials for modular form periods. Zbl 1392.11023
Ono, Ken; Rolen, Larry; Sprung, Florian
2017
A mock theta function for the delta-function. Zbl 1230.11056
Ono, Ken
2009
$$q$$-series and weight 3/2 Maass forms. Zbl 1233.11048
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken
2009
Parity of the partition function in arithmetic progressions. II. Zbl 1031.11063
Boylan, Matthew; Ono, Ken
2001
Arithmetic of certain hypergeometric modular forms. Zbl 1100.11015
Mahlburg, Karl; Ono, Ken
2004
Congruences for Fourier coefficients of half-integral weight modular forms and special values of $$L$$-functions. Zbl 0863.11031
Balog, Antal; Darmon, Henri; Ono, Ken
1996
Twists of elliptic curves. Zbl 0887.11025
Ono, K.
1997
Congruences on the Fourier coefficients of modular forms on $$\Gamma_ 0(N)$$. Zbl 0812.11029
Ono, Ken
1994
The Jack Daniels problem. Zbl 1337.11026
Duncan, John F. R.; Ono, Ken
2016
The last words of a genius. Zbl 1219.01017
Ono, Ken
2010
Identities and congruences for Ramanujan’s $$\omega (q)$$. Zbl 1217.11048
Bruinier, Jan H.; Ono, Ken
2010
Quadratic twists of elliptic curves and class numbers. Zbl 1483.11113
Griffin, Michael; Ono, Ken; Tsai, Wei-Lun
2021
Class numbers and self-conjugate 7-cores. Zbl 1459.05012
Ono, Ken; Raji, Wissam
2021
Mock modular Eisenstein series with Nebentypus. Zbl 1471.11136
Mertens, Michael H.; Ono, Ken; Rolen, Larry
2021
Elliptic curves and lower bounds for class numbers. Zbl 1481.11109
Griffin, Michael; Ono, Ken
2020
Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105
Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don
2019
Multiquadratic fields generated by characters of $$A_n$$. Zbl 07074201
Locus Dawsey, Madeline; Ono, Ken; Wagner, Ian
2019
On divisors of modular forms. Zbl 1447.11056
Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen; Ono, Ken; Rolen, Larry
2018
Black holes and class groups. Zbl 1455.11065
Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry
2018
Harmonic Maass forms and mock modular forms: theory and applications. Zbl 1459.11118
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry
2017
Zeta-polynomials for modular form periods. Zbl 1392.11023
Ono, Ken; Rolen, Larry; Sprung, Florian
2017
Partition-theoretic formulas for arithmetic densities. Zbl 1416.11151
Ono, Ken; Schneider, Robert; Wagner, Ian
2017
Maximal multiplicative properties of partitions. Zbl 1332.05013
Bessenrodt, Christine; Ono, Ken
2016
A framework of Rogers-Ramanujan identities and their arithmetic properties. Zbl 1405.11140
Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole
2016
Class polynomials for nonholomorphic modular functions. Zbl 1332.11047
Bruinier, Jan Hendrik; Ono, Ken; Sutherland, Andrew V.
2016
Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
2016
Special values of shifted convolution Dirichlet series. Zbl 1397.11083
Mertens, Michael H.; Ono, Ken
2016
The Jack Daniels problem. Zbl 1337.11026
Duncan, John F. R.; Ono, Ken
2016
$$p$$-adic properties of modular shifted convolution Dirichlet series. Zbl 1397.11082
Bringmann, Kathrin; Mertens, Michael H.; Ono, Ken
2016
The 1729 $$K3$$ surface. Zbl 1352.14014
Ono, Ken; Trebat-Leder, Sarah
2016
A note on non-ordinary primes. Zbl 1417.11056
Jin, Seokho; Ma, Wenjun; Ono, Ken
2016
Proof of the umbral moonshine conjecture. Zbl 1383.11052
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
2015
Moonshine. Zbl 1380.11030
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
2015
Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019
Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry
2015
SU(2)-Donaldson invariants of the complex projective plane. Zbl 1383.57035
Griffin, Michael; Malmendier, Andreas; Ono, Ken
2015
Classical and umbral moonshine: connections and $$p$$-adic properties. Zbl 1425.11072
Ono, Ken; Rolen, Larry; Trebat-Leder, Sarah
2015
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
2014
Mock theta functions and quantum modular forms. Zbl 1294.11083
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
2013
Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. Zbl 1304.11021
Bruinier, Jan Hendrik; Ono, Ken
2013
Eichler-Shimura theory for mock modular forms. Zbl 1312.11039
Bringmann, Kathrin; Guerzhoy, Pavel; Kent, Zachary; Ono, Ken
2013
Ramanujan’s mock theta functions. Zbl 1295.11038
Griffin, Michael; Ono, Ken; Rolen, Larry
2013
Hasse invariants for the Clausen elliptic curves. Zbl 1287.11079
2013
Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002
Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole
2013
Coefficients of harmonic Maass forms. Zbl 1333.11040
Bringmann, Kathrin; Ono, Ken
2012
$$\ell$$-adic properties of the partition function. Appendix A by Nick Ramsey. Zbl 1247.11131
Folsom, Amanda; Kent, Zachary A.; Ono, Ken
2012
SO(3)-Donaldson invariants of $$\mathbb CP^{2}$$ and mock theta functions. Zbl 1255.57028
Malmendier, Andreas; Ono, Ken
2012
Moonshine for $$M_{24}$$ and Donaldson invariants of $$\mathbb{C} \text{P}^2$$. Zbl 1274.57009
Malmendier, Andreas; Ono, Ken
2012
A mod $$\ell$$ Atkin-Lehner theorem and applications. Zbl 1276.11067
Ono, Ken; Ramsey, Nick
2012
Congruences for the Andrews spt function. Zbl 1286.11168
Ono, Ken
2011
Hook lengths and 3-cores. Zbl 1233.05030
Han, Guo-Niu; Ono, Ken
2011
The partition function and Hecke operators. Zbl 1260.11061
Ono, Ken
2011
Modular forms arising from $$Q(n)$$ and Dyson’s rank. Zbl 1227.11063
Monks, Maria; Ono, Ken
2011
Dyson’s ranks and Maass forms. Zbl 1277.11096
Bringmann, Kathrin; Ono, Ken
2010
Heegner divisors, $$L$$-functions and harmonic weak Maass forms. Zbl 1244.11046
Bruinier, Jan; Ono, Ken
2010
$$p$$-adic coupling of mock modular forms and shadows. Zbl 1205.11047
Guerzhoy, Pavel; Kent, Zachary A.; Ono, Ken
2010
Parity of the partition function. Zbl 1234.11139
Ono, Ken
2010
The last words of a genius. Zbl 1219.01017
Ono, Ken
2010
Identities and congruences for Ramanujan’s $$\omega (q)$$. Zbl 1217.11048
Bruinier, Jan H.; Ono, Ken
2010
Gauss’s F hypergeometric function and the congruent number elliptic curve. Zbl 1236.11044
2010
Unearthing the visions of a master: harmonic Maass forms and number theory. Zbl 1229.11074
Ono, Ken
2009
Some characters of Kac and Wakimoto and nonholomorphic modular functions. Zbl 1262.11059
Bringmann, Kathrin; Ono, Ken
2009
A mock theta function for the delta-function. Zbl 1230.11056
Ono, Ken
2009
$$q$$-series and weight 3/2 Maass forms. Zbl 1233.11048
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken
2009
Algebraicity of harmonic Maass forms. Zbl 1247.11053
Ono, Ken
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.
2008
Eulerian series as modular forms. Zbl 1208.11065
Bringmann, Kathrin; Ono, Ken; Rhoades, Robert C.
2008
Duality involving the mock theta function $$f(q)$$. Zbl 1189.11026
Folsom, Amanda; Ono, Ken
2008
Number theoretic properties of Wronskians of Andrews-Gordon series. Zbl 1214.11050
Milas, Antun; Mortenson, Eric; Ono, Ken
2008
Mock theta functions, ranks, and Maass forms. Zbl 1183.11064
Ono, Ken
2008
Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series. Zbl 1154.11015
Bringmann, Kathrin; Ono, Ken
2007
An arithmetic formula for the partition function. Zbl 1156.11040
Bringmann, Kathrin; Ono, Ken
2007
Lehmer’s conjecture on Ramanujan’s tau-function. Zbl 1223.11053
Ono, Ken
2007
Singular moduli generating functions for modular curves and surfaces. Zbl 1214.11057
Ono, Ken
2007
The $$f(q)$$ mock theta function conjecture and partition ranks. Zbl 1135.11057
Bringmann, Kathrin; Ono, Ken
2006
Hilbert class polynomials and traces of singular moduli. Zbl 1091.11011
Bruinier, Jan Hendrik; Jenkins, Paul; Ono, Ken
2006
Lifting cusp forms to Maass forms with an application to partitions. Zbl 1191.11013
Bringmann, Kathrin; Ono, Ken
2006
Honoring a gift from Kumbakonam. Zbl 1094.01012
Ono, Ken
2006
Divisibility criteria for class numbers of imaginary quadratic fields. Zbl 1153.11055
Jenkins, Paul; Ono, Ken
2006
Arithmetic of singular moduli and class polynomials. Zbl 1133.11036
Ahlgren, Scott; Ono, Ken
2005
Linear relations between modular form coefficients and non-ordinary primes. Zbl 1155.11325
Choie, YoungJu; Kohnen, Winfried; Ono, Ken
2005
Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323
Elkies, Noam; Ono, Ken; Yang, Tonghai
2005
2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014
Ono, Ken; Taguchi, Yuichiro
2005
Traces of singular moduli on Hilbert modular surfaces. Zbl 1109.11028
Bringmann, Kathrin; Ono, Ken; Rouse, Jeremy
2005
Identities for traces of singular moduli. Zbl 1163.11324
Bringmann, Kathrin; Ono, Ken
2005
Ramanujan’s congruences and Dyson’s crank. Zbl 1155.11349
Andrews, George E.; Ono, Ken
2005
The web of modularity: arithmetic of the coefficients of modular forms and $$q$$-series. Zbl 1119.11026
Ono, Ken
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
2004
Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
2004
Combinatorics of traces of Hecke operators. Zbl 1064.11038
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
2004
Arithmetic of certain hypergeometric modular forms. Zbl 1100.11015
Mahlburg, Karl; Ono, Ken
2004
Partitions and McKay numbers for $$S_n$$. Zbl 1119.11062
Ono, Ken
2004
$$p$$-adic properties of values of the modular $$j$$-function. Zbl 1082.11024
Ono, Ken; Papanikolas, Matthew A.
2004
Hecke operators and the $$q$$-expansion of modular forms. Zbl 1081.11033
Ono, Ken
2004
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
2003
A $$q$$-series identity and the arithmetic of Hurwitz zeta functions. Zbl 1082.11011
Coogan, Gwynneth H.; Ono, Ken
2003
Coefficients of half-integral weight modular forms. Zbl 1090.11028
Bruinier, Jan H.; Ono, Ken
2003
Weierstrass points on $$X_0(p)$$ and supersingular $$j$$-invariants. Zbl 1077.11048
Ahlgren, Scott; Ono, Ken
2003
The arithmetic of Borcherds’ exponents. Zbl 1195.11061
Bruinier, Jan H.; Ono, Ken
2003
Hypergeometric generating functions for values of Dirichlet and other $$L$$ functions. Zbl 1070.33016
Lovejoy, Jeremy; Ono, Ken
2003
Elements of class groups and Shafarevich-Tate groups of elliptic curves. Zbl 1048.11044
Balog, Antal; Ono, Ken
2003
Modular form congruence and Selmer groups. Zbl 1057.11027
McGraw, William J.; Ono, Ken
2003
The life and work of R. A. Rankin (1915–2001). Zbl 1039.01011
Berndt, Bruce C.; Kohnen, Winfried; Ono, Ken
2003
Zeta functions of an infinite family of $$K3$$ surfaces. Zbl 1065.14023
Ahlgren, Scott; Ono, Ken; Penniston, David
2002
Representations of integers as sums of squares. Zbl 1125.11321
Ono, Ken
2002
Extension of Ramanujan’s congruences for the partition function modulo powers of 5. Zbl 0989.11054
Lovejoy, Jeremy; Ono, Ken
2002
Congruences for $${}_3F_2$$ hypergeometric functions over finite fields. Zbl 1026.11091
Ono, Ken; Penniston, David
2002
Quadratic twists of modular forms and elliptic curves. Zbl 1176.11022
Ono, Ken; Papanikolas, Matthew A.
2002
Congruence properties for the partition function. Zbl 1114.11310
Ahlgren, Scott; Ono, Ken
2001
$$q$$-series identities and values of certain $$L$$-functions. Zbl 1005.11048
Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken
2001
The Chebotarev density theorem in short intervals and some questions of Serre. Zbl 1016.11053
Balog, Antal; Ono, Ken
2001
Nonvanishing of quadratic twists of modular $$L$$-functions and applications to elliptic curves. Zbl 1065.11032
Ono, Ken
2001
...and 53 more Documents
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### 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
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### 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
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### 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)

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