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Author ID: ono.ken Recent zbMATH articles by "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

Publications by Year

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
342
2004
Unearthing the visions of a master: harmonic Maass forms and number theory. Zbl 1229.11074
Ono, Ken
107
2009
Dyson’s ranks and Maass forms. Zbl 1277.11096
Bringmann, Kathrin; Ono, Ken
97
2010
The \(f(q)\) mock theta function conjecture and partition ranks. Zbl 1135.11057
Bringmann, Kathrin; Ono, Ken
97
2006
Defect zero \(p\)-blocks for finite simple groups. Zbl 0855.20007
Granville, Andrew; Ono, Ken
96
1996
Distribution of the partition function modulo \(m\). Zbl 0984.11050
Ono, Ken
89
2000
Heegner divisors, \(L\)-functions and harmonic weak Maass forms. Zbl 1244.11046
Bruinier, Jan; Ono, Ken
82
2010
A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002
Ahlgren, Scott; Ono, Ken
77
2000
Harmonic Maass forms and mock modular forms: theory and applications. Zbl 1459.11118
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry
72
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.
60
2008
Divisibility of certain partition functions by powers of primes. Zbl 0907.11036
Gordon, Basil; Ono, Ken
57
1997
Mock theta functions and quantum modular forms. Zbl 1294.11083
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
51
2013
Congruence properties for the partition function. Zbl 1114.11310
Ahlgren, Scott; Ono, Ken
51
2001
Values of Gaussian hypergeometric series. Zbl 0910.11054
Ono, Ken
46
1998
Non-vanishing of quadratic twists of modular \(L\)-functions. Zbl 0937.11017
Ono, Ken; Skinner, Christopher
43
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
42
2004
Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series. Zbl 1154.11015
Bringmann, Kathrin; Ono, Ken
41
2007
Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. Zbl 1304.11021
Bruinier, Jan Hendrik; Ono, Ken
38
2013
Eulerian series as modular forms. Zbl 1208.11065
Bringmann, Kathrin; Ono, Ken; Rhoades, Robert C.
35
2008
\(q\)-series identities and values of certain \(L\)-functions. Zbl 1005.11048
Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken
35
2001
Proof of the umbral moonshine conjecture. Zbl 1383.11052
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
33
2015
Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
32
2004
Hilbert class polynomials and traces of singular moduli. Zbl 1091.11011
Bruinier, Jan Hendrik; Jenkins, Paul; Ono, Ken
30
2006
Eichler-Shimura theory for mock modular forms. Zbl 1312.11039
Bringmann, Kathrin; Guerzhoy, Pavel; Kent, Zachary; Ono, Ken
29
2013
Fourier coefficients of half-integral weight modular forms modulo \(\ell\). Zbl 0907.11017
Ono, Ken; Skinner, Christopher
28
1998
The 2-adic behavior of the number of partitions into distinct parts. Zbl 0972.05003
Ono, Ken; Penniston, David
26
2000
Euler’s concordant forms. Zbl 0863.11038
Ono, Ken
26
1996
Parity of the partition function in arithmetic progressions. Zbl 0835.11038
Ono, Ken
26
1996
Coefficients of harmonic Maass forms. Zbl 1333.11040
Bringmann, Kathrin; Ono, Ken
25
2012
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
25
2003
Lifting cusp forms to Maass forms with an application to partitions. Zbl 1191.11013
Bringmann, Kathrin; Ono, Ken
24
2006
Ramanujan’s ternary quadratic form. Zbl 0930.11022
Ono, Ken; Soundararajan, K.
23
1997
Moonshine. Zbl 1380.11030
Duncan, 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 0931.11044
Kohnen, Winfried; Ono, Ken
22
1999
Eta-quotients and elliptic curves. Zbl 0894.11020
Martin, Yves; Ono, Ken
22
1997
Arithmetic of singular moduli and class polynomials. Zbl 1133.11036
Ahlgren, Scott; Ono, Ken
22
2005
The Chebotarev density theorem in short intervals and some questions of Serre. Zbl 1016.11053
Balog, Antal; Ono, Ken
22
2001
Ramanujan’s mock theta functions. Zbl 1295.11038
Griffin, Michael; Ono, Ken; Rolen, Larry
20
2013
Maximal multiplicative properties of partitions. Zbl 1332.05013
Bessenrodt, Christine; Ono, Ken
20
2016
\(p\)-adic coupling of mock modular forms and shadows. Zbl 1205.11047
Guerzhoy, Pavel; Kent, Zachary A.; Ono, Ken
19
2010
Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031
Ahlgren, Scott; Ono, Ken
19
2000
A framework of Rogers-Ramanujan identities and their arithmetic properties. Zbl 1405.11140
Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole
18
2016
4-core partitions and class numbers. Zbl 0868.11047
Ono, Ken; Sze, Lawrence
18
1997
Linear relations between modular form coefficients and non-ordinary primes. Zbl 1155.11325
Choie, YoungJu; Kohnen, Winfried; Ono, Ken
18
2005
Congruences for Frobenius partitions. Zbl 0852.11057
Ono, Ken
17
1996
Ramanujan’s unpublished manuscript on the partition and tau functions with proofs and commentary. Zbl 0932.11002
Berndt, Bruce C.; Ono, Ken
17
1999
Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105
Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don
17
2019
Nonvanishing of quadratic twists of modular \(L\)-functions and applications to elliptic curves. Zbl 1065.11032
Ono, Ken
16
2001
On the representation of integers as sums of triangular numbers. Zbl 0828.11057
Ono, Ken; Robins, Sinai; Wahl, Patrick T.
16
1995
Some characters of Kac and Wakimoto and nonholomorphic modular functions. Zbl 1262.11059
Bringmann, Kathrin; Ono, Ken
15
2009
Prime power degree representations of the symmetric and alternating groups. Zbl 1018.20008
Balog, Antal; Bessenrodt, Christine; Olsson, Jørn B.; Ono, Ken
15
2001
Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323
Elkies, Noam; Ono, Ken; Yang, Tonghai
15
2005
An arithmetic formula for the partition function. Zbl 1156.11040
Bringmann, Kathrin; Ono, Ken
15
2007
Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019
Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry
14
2015
Congruences for the Andrews spt function. Zbl 1286.11168
Ono, Ken
14
2011
2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014
Ono, Ken; Taguchi, Yuichiro
14
2005
\(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey. Zbl 1247.11131
Folsom, Amanda; Kent, Zachary A.; Ono, Ken
13
2012
SO(3)-Donaldson invariants of \(\mathbb CP^{2}\) and mock theta functions. Zbl 1255.57028
Malmendier, Andreas; Ono, Ken
13
2012
On the circular summation of the eleventh powers of Ramanujan’s theta function. Zbl 0927.11025
Ono, Ken
13
1999
Duality involving the mock theta function \(f(q)\). Zbl 1189.11026
Folsom, Amanda; Ono, Ken
13
2008
Ramanujan’s radial limits. Zbl 1359.11064
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
12
2014
Class polynomials for nonholomorphic modular functions. Zbl 1332.11047
Bruinier, Jan Hendrik; Ono, Ken; Sutherland, Andrew V.
12
2016
Parity of the partition function. Zbl 1234.11139
Ono, Ken
12
2010
Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
12
2016
A \(q\)-series identity and the arithmetic of Hurwitz zeta functions. Zbl 1082.11011
Coogan, Gwynneth H.; Ono, Ken
11
2003
Coefficients of half-integral weight modular forms. Zbl 1090.11028
Bruinier, Jan H.; Ono, Ken
11
2003
Zeta functions of an infinite family of \(K3\) surfaces. Zbl 1065.14023
Ahlgren, Scott; Ono, Ken; Penniston, David
11
2002
Addition and counting: The arithmetic of partitions. Zbl 1024.11063
Ahlgren, Scott; Ono, Ken
10
2001
Representations of integers as sums of squares. Zbl 1125.11321
Ono, Ken
9
2002
Selmer groups of quadratic twists of elliptic curves. Zbl 0934.11031
James, Kevin; Ono, Ken
9
1999
Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants. Zbl 1077.11048
Ahlgren, Scott; Ono, Ken
9
2003
Indivisibility of class numbers of real quadratic fields. Zbl 1002.11080
Ono, Ken
9
1999
The arithmetic of Borcherds’ exponents. Zbl 1195.11061
Bruinier, Jan H.; Ono, Ken
9
2003
Hypergeometric generating functions for values of Dirichlet and other \(L\) functions. Zbl 1070.33016
Lovejoy, Jeremy; Ono, Ken
9
2003
Hook lengths and 3-cores. Zbl 1233.05030
Han, Guo-Niu; Ono, Ken
8
2011
Congruences for partition functions. Zbl 0852.11056
Eichhorn, Dennis; Ono, Ken
8
1996
On divisors of modular forms. Zbl 1447.11056
Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen; Ono, Ken; Rolen, Larry
8
2018
The partition function in arithmetic progressions. Zbl 0914.11054
Ono, Ken
8
1998
Theorems and conjectures involving rook polynomials with only real zeros. Zbl 0928.05003
Haglund, James; Ono, Ken; Wagner, David G.
8
1999
Extension of Ramanujan’s congruences for the partition function modulo powers of 5. Zbl 0989.11054
Lovejoy, Jeremy; Ono, Ken
8
2002
On the positivity of the number of \(t\)-core partitions. Zbl 0793.11027
Ono, Ken
8
1994
Superlacunary cusp forms. Zbl 0826.11017
Ono, Ken; Robins, Sinai
7
1995
A note on the number of \(t\)-core partitions. Zbl 0852.11055
Ono, Ken
7
1995
A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017
Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron
7
1998
Combinatorics of traces of Hecke operators. Zbl 1064.11038
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
7
2004
Black holes and class groups. Zbl 1455.11065
Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry
7
2018
Congruences and conjectures for the partition function. Zbl 1009.11059
Ahlgren, Scott; Ono, Ken
7
2001
Special values of shifted convolution Dirichlet series. Zbl 1397.11083
Mertens, Michael H.; Ono, Ken
6
2016
Moonshine for \(M_{24}\) and Donaldson invariants of \(\mathbb{C} \text{P}^2\). Zbl 1274.57009
Malmendier, Andreas; Ono, Ken
6
2012
Zeta-polynomials for modular form periods. Zbl 1392.11023
Ono, Ken; Rolen, Larry; Sprung, Florian
6
2017
A mock theta function for the delta-function. Zbl 1230.11056
Ono, Ken
6
2009
\(q\)-series and weight 3/2 Maass forms. Zbl 1233.11048
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken
6
2009
Parity of the partition function in arithmetic progressions. II. Zbl 1031.11063
Boylan, Matthew; Ono, Ken
6
2001
Arithmetic of certain hypergeometric modular forms. Zbl 1100.11015
Mahlburg, Karl; Ono, Ken
6
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
6
1996
Twists of elliptic curves. Zbl 0887.11025
Ono, K.
6
1997
Congruences on the Fourier coefficients of modular forms on \(\Gamma_ 0(N)\). Zbl 0812.11029
Ono, Ken
6
1994
The Jack Daniels problem. Zbl 1337.11026
Duncan, John F. R.; Ono, Ken
5
2016
The last words of a genius. Zbl 1219.01017
Ono, Ken
5
2010
Identities and congruences for Ramanujan’s \(\omega (q)\). Zbl 1217.11048
Bruinier, Jan H.; Ono, Ken
4
2010
Quadratic twists of elliptic curves and class numbers. Zbl 1483.11113
Griffin, Michael; Ono, Ken; Tsai, Wei-Lun
2
2021
Class numbers and self-conjugate 7-cores. Zbl 1459.05012
Ono, Ken; Raji, Wissam
1
2021
Mock modular Eisenstein series with Nebentypus. Zbl 1471.11136
Mertens, Michael H.; Ono, Ken; Rolen, Larry
1
2021
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
17
2019
Multiquadratic fields generated by characters of \(A_n\). Zbl 07074201
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
8
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
72
2017
Zeta-polynomials for modular form periods. Zbl 1392.11023
Ono, Ken; Rolen, Larry; Sprung, Florian
6
2017
Partition-theoretic formulas for arithmetic densities. Zbl 1416.11151
Ono, Ken; Schneider, Robert; Wagner, Ian
3
2017
Maximal multiplicative properties of partitions. Zbl 1332.05013
Bessenrodt, Christine; Ono, Ken
20
2016
A framework of Rogers-Ramanujan identities and their arithmetic properties. Zbl 1405.11140
Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole
18
2016
Class polynomials for nonholomorphic modular functions. Zbl 1332.11047
Bruinier, Jan Hendrik; Ono, Ken; Sutherland, Andrew V.
12
2016
Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
12
2016
Special values of shifted convolution Dirichlet series. Zbl 1397.11083
Mertens, Michael H.; Ono, Ken
6
2016
The Jack Daniels problem. Zbl 1337.11026
Duncan, John F. R.; Ono, Ken
5
2016
\(p\)-adic properties of modular shifted convolution Dirichlet series. Zbl 1397.11082
Bringmann, Kathrin; Mertens, Michael H.; Ono, Ken
3
2016
The 1729 \(K3\) surface. Zbl 1352.14014
Ono, Ken; Trebat-Leder, Sarah
1
2016
A note on non-ordinary primes. Zbl 1417.11056
Jin, Seokho; Ma, Wenjun; Ono, Ken
1
2016
Proof of the umbral moonshine conjecture. Zbl 1383.11052
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
33
2015
Moonshine. Zbl 1380.11030
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
22
2015
Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019
Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry
14
2015
SU(2)-Donaldson invariants of the complex projective plane. Zbl 1383.57035
Griffin, Michael; Malmendier, Andreas; Ono, Ken
4
2015
Classical and umbral moonshine: connections and \(p\)-adic properties. Zbl 1425.11072
Ono, Ken; Rolen, Larry; Trebat-Leder, Sarah
3
2015
Ramanujan’s radial limits. Zbl 1359.11064
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
12
2014
Mock theta functions and quantum modular forms. Zbl 1294.11083
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
51
2013
Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. Zbl 1304.11021
Bruinier, Jan Hendrik; Ono, Ken
38
2013
Eichler-Shimura theory for mock modular forms. Zbl 1312.11039
Bringmann, Kathrin; Guerzhoy, Pavel; Kent, Zachary; Ono, Ken
29
2013
Ramanujan’s mock theta functions. Zbl 1295.11038
Griffin, Michael; Ono, Ken; Rolen, Larry
20
2013
Hasse invariants for the Clausen elliptic curves. Zbl 1287.11079
El-Guindy, Ahmad; Ono, Ken
4
2013
Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002
Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole
1
2013
Coefficients of harmonic Maass forms. Zbl 1333.11040
Bringmann, Kathrin; Ono, Ken
25
2012
\(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey. Zbl 1247.11131
Folsom, Amanda; Kent, Zachary A.; Ono, Ken
13
2012
SO(3)-Donaldson invariants of \(\mathbb CP^{2}\) and mock theta functions. Zbl 1255.57028
Malmendier, Andreas; Ono, Ken
13
2012
Moonshine for \(M_{24}\) and Donaldson invariants of \(\mathbb{C} \text{P}^2\). Zbl 1274.57009
Malmendier, Andreas; Ono, Ken
6
2012
A mod \(\ell\) Atkin-Lehner theorem and applications. Zbl 1276.11067
Ono, Ken; Ramsey, Nick
3
2012
Congruences for the Andrews spt function. Zbl 1286.11168
Ono, Ken
14
2011
Hook lengths and 3-cores. Zbl 1233.05030
Han, Guo-Niu; Ono, Ken
8
2011
The partition function and Hecke operators. Zbl 1260.11061
Ono, Ken
2
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
97
2010
Heegner divisors, \(L\)-functions and harmonic weak Maass forms. Zbl 1244.11046
Bruinier, Jan; Ono, Ken
82
2010
\(p\)-adic coupling of mock modular forms and shadows. Zbl 1205.11047
Guerzhoy, Pavel; Kent, Zachary A.; Ono, Ken
19
2010
Parity of the partition function. Zbl 1234.11139
Ono, Ken
12
2010
The last words of a genius. Zbl 1219.01017
Ono, Ken
5
2010
Identities and congruences for Ramanujan’s \(\omega (q)\). Zbl 1217.11048
Bruinier, Jan H.; Ono, Ken
4
2010
Gauss’s F hypergeometric function and the congruent number elliptic curve. Zbl 1236.11044
El-Guindy, Ahmad; Ono, Ken
3
2010
Unearthing the visions of a master: harmonic Maass forms and number theory. Zbl 1229.11074
Ono, Ken
107
2009
Some characters of Kac and Wakimoto and nonholomorphic modular functions. Zbl 1262.11059
Bringmann, Kathrin; Ono, Ken
15
2009
A mock theta function for the delta-function. Zbl 1230.11056
Ono, Ken
6
2009
\(q\)-series and weight 3/2 Maass forms. Zbl 1233.11048
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken
6
2009
Algebraicity of harmonic Maass forms. Zbl 1247.11053
Ono, Ken
1
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.
60
2008
Eulerian series as modular forms. Zbl 1208.11065
Bringmann, Kathrin; Ono, Ken; Rhoades, Robert C.
35
2008
Duality involving the mock theta function \(f(q)\). Zbl 1189.11026
Folsom, Amanda; Ono, Ken
13
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
41
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
3
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
97
2006
Hilbert class polynomials and traces of singular moduli. Zbl 1091.11011
Bruinier, Jan Hendrik; Jenkins, Paul; Ono, Ken
30
2006
Lifting cusp forms to Maass forms with an application to partitions. Zbl 1191.11013
Bringmann, Kathrin; Ono, Ken
24
2006
Honoring a gift from Kumbakonam. Zbl 1094.01012
Ono, Ken
1
2006
Divisibility criteria for class numbers of imaginary quadratic fields. Zbl 1153.11055
Jenkins, Paul; Ono, Ken
1
2006
Arithmetic of singular moduli and class polynomials. Zbl 1133.11036
Ahlgren, Scott; Ono, Ken
22
2005
Linear relations between modular form coefficients and non-ordinary primes. Zbl 1155.11325
Choie, YoungJu; Kohnen, Winfried; Ono, Ken
18
2005
Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323
Elkies, Noam; Ono, Ken; Yang, Tonghai
15
2005
2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014
Ono, Ken; Taguchi, Yuichiro
14
2005
Traces of singular moduli on Hilbert modular surfaces. Zbl 1109.11028
Bringmann, Kathrin; Ono, Ken; Rouse, Jeremy
3
2005
Identities for traces of singular moduli. Zbl 1163.11324
Bringmann, Kathrin; Ono, Ken
2
2005
Ramanujan’s congruences and Dyson’s crank. Zbl 1155.11349
Andrews, George E.; Ono, Ken
2
2005
The web of modularity: arithmetic of the coefficients of modular forms and \(q\)-series. Zbl 1119.11026
Ono, Ken
342
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
42
2004
Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
32
2004
Combinatorics of traces of Hecke operators. Zbl 1064.11038
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
7
2004
Arithmetic of certain hypergeometric modular forms. Zbl 1100.11015
Mahlburg, Karl; Ono, Ken
6
2004
Partitions and McKay numbers for \(S_n\). Zbl 1119.11062
Ono, Ken
1
2004
\(p\)-adic properties of values of the modular \(j\)-function. Zbl 1082.11024
Ono, Ken; Papanikolas, Matthew A.
1
2004
Hecke operators and the \(q\)-expansion of modular forms. Zbl 1081.11033
Ono, Ken
1
2004
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
25
2003
A \(q\)-series identity and the arithmetic of Hurwitz zeta functions. Zbl 1082.11011
Coogan, Gwynneth H.; Ono, Ken
11
2003
Coefficients of half-integral weight modular forms. Zbl 1090.11028
Bruinier, Jan H.; Ono, Ken
11
2003
Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants. Zbl 1077.11048
Ahlgren, Scott; Ono, Ken
9
2003
The arithmetic of Borcherds’ exponents. Zbl 1195.11061
Bruinier, Jan H.; Ono, Ken
9
2003
Hypergeometric generating functions for values of Dirichlet and other \(L\) functions. Zbl 1070.33016
Lovejoy, Jeremy; Ono, Ken
9
2003
Elements of class groups and Shafarevich-Tate groups of elliptic curves. Zbl 1048.11044
Balog, Antal; Ono, Ken
4
2003
Modular form congruence and Selmer groups. Zbl 1057.11027
McGraw, William J.; Ono, Ken
2
2003
The life and work of R. A. Rankin (1915–2001). Zbl 1039.01011
Berndt, Bruce C.; Kohnen, Winfried; Ono, Ken
2
2003
Zeta functions of an infinite family of \(K3\) surfaces. Zbl 1065.14023
Ahlgren, Scott; Ono, Ken; Penniston, David
11
2002
Representations of integers as sums of squares. Zbl 1125.11321
Ono, Ken
9
2002
Extension of Ramanujan’s congruences for the partition function modulo powers of 5. Zbl 0989.11054
Lovejoy, Jeremy; Ono, Ken
8
2002
Congruences for \({}_3F_2\) hypergeometric functions over finite fields. Zbl 1026.11091
Ono, Ken; Penniston, David
1
2002
Quadratic twists of modular forms and elliptic curves. Zbl 1176.11022
Ono, Ken; Papanikolas, Matthew A.
1
2002
Congruence properties for the partition function. Zbl 1114.11310
Ahlgren, Scott; Ono, Ken
51
2001
\(q\)-series identities and values of certain \(L\)-functions. Zbl 1005.11048
Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken
35
2001
The Chebotarev density theorem in short intervals and some questions of Serre. Zbl 1016.11053
Balog, Antal; Ono, Ken
22
2001
Nonvanishing of quadratic twists of modular \(L\)-functions and applications to elliptic curves. Zbl 1065.11032
Ono, Ken
16
2001
...and 53 more Documents
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
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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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