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Author ID: ono.ken Recent zbMATH articles by "Ono, Ken"
Published as: Ono, Ken; Ono, K.
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all top 5

Co-Authors

48 single-authored
19 Bringmann, Kathrin
19 Griffin, Michael J.
18 Rolen, Larry
11 Bruinier, Jan Hendrik
10 Ahlgren, Scott D.
10 Tsai, Wei-Lun
8 Andrews, George Eyre
7 Folsom, Amanda L.
7 Mertens, Michael Helmut
7 Singh, Ajit
6 Craig, William
6 Wagner, Ian
5 Amdeberhan, Tewodros
5 Balog, Antal
5 Berndt, Bruce Carl
5 Duncan, John F. R.
5 Kohnen, Winfried
5 Saad, Hasan
4 Alladi, Krishnaswami
4 Balakrishnan, Jennifer S.
4 Dawsey, Madeline Locus
4 Kent, Zachary A.
4 Papanikolas, Matthew A.
4 Penniston, David
4 Rhoades, Robert C.
4 Schneider, Robert P.
4 Soundararajan, Kannan
4 Warnaar, S. Ole
3 James, Kevin
3 Kane, Ben
3 Löbrich, Steffen
3 Malmendier, Andreas
3 Saikia, Neelam
3 Skinner, Christopher M.
3 Trebat-Leder, Sarah
2 Bessenrodt, Christine
2 El-Guindy, Ahmad
2 Frechette, Sharon M.
2 Guerzhoy, Pavel I.
2 Guo, Li
2 Haglund, James
2 Hong, Letong
2 Jiménez-Urroz, Jorge
2 Jin, Seokho
2 Lovejoy, Jeremy
2 Ma, Wenjun
2 McGraw, William J.
2 McSpirit, Eleanor
2 Pujahari, Sudhir
2 Ramsey, Nick
2 Robins, Sinai
2 Sze, Lawrence
2 Wilson, Brad
2 Zhang, Shengtong
1 Aczel, Amir D.
1 Adem, Alejandro
1 Alfes-Neumann, Claudia
1 Ardila, Federico
1 Benjamin, Nathan
1 Bonato, Anthony
1 Boylan, Matthew
1 Chayes, Jennifer Tour
1 Choie, YoungJu
1 Chudnovsky, Maria
1 Chung, Fan
1 Coogan, Gwynneth H.
1 Darmon, Henri René
1 Daubechies, Ingrid
1 Deng, Yuqi
1 Eichhorn, Dennis
1 Ekhad, Shalosh B. (computer)
1 Elkies, Noam David
1 Garvan, Frank G.
1 Ghoussoub, Nassif A.
1 Gillespie, Maria Monks
1 Gillman, Nate
1 Gomez, Kevin
1 González, Xavier Ignacio
1 Gordon, Basil
1 Granville, Andrew James
1 Guralnick, Robert Michael
1 Han, Guo-Niu
1 Holmes, Philip J.
1 Huang, Yifeng
1 Jeffrey, Lisa Claire
1 Kachru, Shamit
1 Keigher, William F.
1 Łaba, Izabella
1 Mahlburg, Karl
1 Males, Joshua
1 Martin, Yves-Loïc
1 Masri, Riad
1 Matsusaka, Toshiki
1 Mazur, Barry
1 McIntosh, Richard J.
1 Medvedev, Georgi S.
1 Merca, Mircea
1 Milas, Antun
1 Mortenson, Eric T.
1 Nowakowski, Richard Joseph
...and 22 more Co-Authors
all top 5

Serials

13 Advances in Mathematics
11 Journal of Number Theory
10 Proceedings of the National Academy of Sciences of the United States of America
9 Acta Arithmetica
9 Mathematische Annalen
9 Proceedings of the American Mathematical Society
8 Journal of Combinatorial Theory. Series A
7 The Ramanujan Journal
6 Compositio Mathematica
5 Notices of the American Mathematical Society
4 Duke Mathematical Journal
4 Inventiones Mathematicae
4 Journal für die Reine und Angewandte Mathematik
4 IMRN. International Mathematics Research Notices
4 Annals of Mathematics. Second Series
4 Research in the Mathematical Sciences
3 Archiv der Mathematik
3 Journal of the London Mathematical Society. Second Series
3 Transactions of the American Mathematical Society
3 Hardy-Ramanujan Journal
3 Annals of Combinatorics
3 International Journal of Number Theory
3 Research in Number Theory
2 American Mathematical Monthly
2 American Journal of Mathematics
2 Bulletin of the London Mathematical Society
2 Canadian Mathematical Bulletin
2 Illinois Journal of Mathematics
2 The Journal of the Indian Mathematical Society. New Series
2 Proceedings of the Japan Academy. Series A
2 Forum of Mathematics, Sigma
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Proceedings of the American Mathematical Society. Series B
1 Bulletin of the Australian Mathematical Society
1 Discrete Mathematics
1 Rocky Mountain Journal of Mathematics
1 The Mathematical Intelligencer
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Mathematika
1 Monatshefte für Mathematik
1 Utilitas Mathematica
1 Comptes Rendus Mathématiques de l’Académie des Sciences
1 Advances in Applied Mathematics
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Journal of the Ramanujan Mathematical Society
1 European Journal of Applied Mathematics
1 Geometric and Functional Analysis. GAFA
1 Aequationes Mathematicae
1 The Electronic Journal of Combinatorics
1 Mathematical Research Letters
1 Electronic Research Announcements of the American Mathematical Society
1 Séminaire Lotharingien de Combinatoire
1 Communications in Applied Analysis
1 Geometry & Topology
1 The Quarterly Journal of Mathematics
1 Pure and Applied Mathematics Quarterly
1 Colloquium Publications. American Mathematical Society
1 Contemporary Mathematics
1 Mathematics and its Applications (Dordrecht)
1 Developments in Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Communications in Number Theory and Physics
1 Mathematics Newsletter
1 Forum of Mathematics, Pi
1 CBMS Regional Conference Series in Mathematics
1 La Matematica

Publications by Year

Citations contained in zbMATH Open

179 Publications have been cited 3,749 times in 2,035 Documents Cited by Year
The web of modularity: arithmetic of the coefficients of modular forms and \(q\)-series. Zbl 1119.11026
Ono, Ken
467
2004
Defect zero \(p\)-blocks for finite simple groups. Zbl 0855.20007
Granville, Andrew; Ono, Ken
130
1996
Harmonic Maass forms and mock modular forms: theory and applications. Zbl 1459.11118
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry
129
2017
Unearthing the visions of a master: harmonic Maass forms and number theory. Zbl 1229.11074
Ono, Ken
121
2009
Dyson’s ranks and Maass forms. Zbl 1277.11096
Bringmann, Kathrin; Ono, Ken
115
2010
Distribution of the partition function modulo \(m\). Zbl 0984.11050
Ono, Ken
114
2000
The \(f(q)\) mock theta function conjecture and partition ranks. Zbl 1135.11057
Bringmann, Kathrin; Ono, Ken
111
2006
A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002
Ahlgren, Scott; Ono, Ken
99
2000
Heegner divisors, \(L\)-functions and harmonic weak Maass forms. Zbl 1244.11046
Bruinier, Jan; Ono, Ken
99
2010
Divisibility of certain partition functions by powers of primes. Zbl 0907.11036
Gordon, Basil; Ono, Ken
74
1997
Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues. Zbl 1246.11098
Bruinier, Jan H.; Ono, Ken; Rhoades, Robert C.
71
2008
Values of Gaussian hypergeometric series. Zbl 0910.11054
Ono, Ken
67
1998
Congruence properties for the partition function. Zbl 1114.11310
Ahlgren, Scott; Ono, Ken
66
2001
Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105
Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don
62
2019
Mock theta functions and quantum modular forms. Zbl 1294.11083
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
58
2013
Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series. Zbl 1154.11015
Bringmann, Kathrin; Ono, Ken
53
2007
The arithmetic of the values of modular functions and the divisors of modular forms. Zbl 1060.11019
Bruinier, Jan H.; Kohnen, Winfried; Ono, Ken
50
2004
Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. Zbl 1304.11021
Bruinier, Jan Hendrik; Ono, Ken
49
2013
Non-vanishing of quadratic twists of modular \(L\)-functions. Zbl 0937.11017
Ono, Ken; Skinner, Christopher
48
1998
Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
45
2004
Proof of the umbral moonshine conjecture. Zbl 1383.11052
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
41
2015
\(q\)-series identities and values of certain \(L\)-functions. Zbl 1005.11048
Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken
40
2001
Eulerian series as modular forms. Zbl 1208.11065
Bringmann, Kathrin; Ono, Ken; Rhoades, Robert C.
38
2008
Coefficients of harmonic Maass forms. Zbl 1333.11040
Bringmann, Kathrin; Ono, Ken
36
2012
Floer-Novikov cohomology and the flux conjecture. Zbl 1113.53055
Ono, K.
35
2006
Parity of the partition function in arithmetic progressions. Zbl 0835.11038
Ono, Ken
35
1996
Hilbert class polynomials and traces of singular moduli. Zbl 1091.11011
Bruinier, Jan Hendrik; Jenkins, Paul; Ono, Ken
35
2006
Eichler-Shimura theory for mock modular forms. Zbl 1312.11039
Bringmann, Kathrin; Guerzhoy, Pavel; Kent, Zachary; Ono, Ken
34
2013
Fourier coefficients of half-integral weight modular forms modulo \(\ell\). Zbl 0907.11017
Ono, Ken; Skinner, Christopher
32
1998
Euler’s concordant forms. Zbl 0863.11038
Ono, Ken
31
1996
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
31
2003
Maximal multiplicative properties of partitions. Zbl 1332.05013
Bessenrodt, Christine; Ono, Ken
31
2016
A framework of Rogers-Ramanujan identities and their arithmetic properties. Zbl 1405.11140
Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole
31
2016
The 2-adic behavior of the number of partitions into distinct parts. Zbl 0972.05003
Ono, Ken; Penniston, David
29
2000
Ramanujan’s unpublished manuscript on the partition and tau functions with proofs and commentary. Zbl 0932.11002
Berndt, Bruce C.; Ono, Ken
28
1999
Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication. Zbl 0931.11044
Kohnen, Winfried; Ono, Ken
28
1999
Eta-quotients and elliptic curves. Zbl 0894.11020
Martin, Yves; Ono, Ken
28
1997
Lifting cusp forms to Maass forms with an application to partitions. Zbl 1191.11013
Bringmann, Kathrin; Ono, Ken
28
2006
Moonshine. Zbl 1380.11030
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
28
2015
Ramanujan’s ternary quadratic form. Zbl 0930.11022
Ono, Ken; Soundararajan, K.
27
1997
4-core partitions and class numbers. Zbl 0868.11047
Ono, Ken; Sze, Lawrence
27
1997
The Chebotarev density theorem in short intervals and some questions of Serre. Zbl 1016.11053
Balog, Antal; Ono, Ken
25
2001
Arithmetic of singular moduli and class polynomials. Zbl 1133.11036
Ahlgren, Scott; Ono, Ken
24
2005
Zeta functions of an infinite family of \(K3\) surfaces. Zbl 1065.14023
Ahlgren, Scott; Ono, Ken; Penniston, David
23
2002
On the representation of integers as sums of triangular numbers. Zbl 0828.11057
Ono, Ken; Robins, Sinai; Wahl, Patrick T.
23
1995
\(p\)-adic coupling of mock modular forms and shadows. Zbl 1205.11047
Guerzhoy, Pavel; Kent, Zachary A.; Ono, Ken
23
2010
Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031
Ahlgren, Scott; Ono, Ken
22
2000
Congruences for Frobenius partitions. Zbl 0852.11057
Ono, Ken
22
1996
Linear relations between modular form coefficients and non-ordinary primes. Zbl 1155.11325
Choie, YoungJu; Kohnen, Winfried; Ono, Ken
21
2005
Class polynomials for nonholomorphic modular functions. Zbl 1332.11047
Bruinier, Jan Hendrik; Ono, Ken; Sutherland, Andrew V.
21
2016
Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
21
2016
Ramanujan’s mock theta functions. Zbl 1295.11038
Griffin, Michael; Ono, Ken; Rolen, Larry
21
2013
2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014
Ono, Ken; Taguchi, Yuichiro
20
2005
Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323
Elkies, Noam; Ono, Ken; Yang, Tonghai
20
2005
Prime power degree representations of the symmetric and alternating groups. Zbl 1018.20008
Balog, Antal; Bessenrodt, Christine; Olsson, Jørn B.; Ono, Ken
19
2001
Congruences for the Andrews spt function. Zbl 1286.11168
Ono, Ken
19
2011
Duality involving the mock theta function \(f(q)\). Zbl 1189.11026
Folsom, Amanda; Ono, Ken
19
2008
On divisors of modular forms. Zbl 1447.11056
Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen; Ono, Ken; Rolen, Larry
19
2018
Nonvanishing of quadratic twists of modular \(L\)-functions and applications to elliptic curves. Zbl 1065.11032
Ono, Ken
18
2001
Some characters of Kac and Wakimoto and nonholomorphic modular functions. Zbl 1262.11059
Bringmann, Kathrin; Ono, Ken
18
2009
Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019
Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry
18
2015
SO(3)-Donaldson invariants of \(\mathbb CP^{2}\) and mock theta functions. Zbl 1255.57028
Malmendier, Andreas; Ono, Ken
18
2012
Ramanujan’s radial limits. Zbl 1359.11064
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
16
2014
Turán inequalities for the plane partition function. Zbl 1504.11110
Ono, Ken; Pujahari, Sudhir; Rolen, Larry
16
2022
\(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey. Zbl 1247.11131
Folsom, Amanda; Kent, Zachary A.; Ono, Ken
15
2012
An arithmetic formula for the partition function. Zbl 1156.11040
Bringmann, Kathrin; Ono, Ken
15
2007
Theorems and conjectures involving rook polynomials with only real zeros. Zbl 0928.05003
Haglund, James; Ono, Ken; Wagner, David G.
14
1999
Distributions on partitions arising from Hilbert schemes and hook lengths. Zbl 1494.05008
Bringmann, Kathrin; Craig, William; Males, Joshua; Ono, Ken
14
2022
On the circular summation of the eleventh powers of Ramanujan’s theta function. Zbl 0927.11025
Ono, Ken
13
1999
Coefficients of half-integral weight modular forms. Zbl 1090.11028
Bruinier, Jan H.; Ono, Ken
13
2003
Addition and counting: The arithmetic of partitions. Zbl 1024.11063
Ahlgren, Scott; Ono, Ken
13
2001
Hook lengths and 3-cores. Zbl 1233.05030
Han, Guo-Niu; Ono, Ken
13
2011
Parity of the partition function. Zbl 1234.11139
Ono, Ken
13
2010
Indivisibility of class numbers of real quadratic fields. Zbl 1002.11080
Ono, Ken
12
1999
A \(q\)-series identity and the arithmetic of Hurwitz zeta functions. Zbl 1082.11011
Coogan, Gwynneth H.; Ono, Ken
11
2003
Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants. Zbl 1077.11048
Ahlgren, Scott; Ono, Ken
11
2003
Selmer groups of quadratic twists of elliptic curves. Zbl 0934.11031
James, Kevin; Ono, Ken
10
1999
The arithmetic of Borcherds’ exponents. Zbl 1195.11061
Bruinier, Jan H.; Ono, Ken
10
2003
Superlacunary cusp forms. Zbl 0826.11017
Ono, Ken; Robins, Sinai
10
1995
Jensen polynomials for the Riemann xi-function. Zbl 1490.11086
Griffin, Michael J.; Ono, Ken; Rolen, Larry; Thorner, Jesse; Tripp, Zachary; Wagner, Ian
10
2022
Representations of integers as sums of squares. Zbl 1125.11321
Ono, Ken
9
2002
Travelling wave solutions of the degenerate Kolmogorov-Petrovski-Piskunov equation. Zbl 1060.35052
Medvedev, G. S.; Ono, K.; Holmes, P. J.
9
2003
Extension of Ramanujan’s congruences for the partition function modulo powers of 5. Zbl 0989.11054
Lovejoy, Jeremy; Ono, Ken
9
2002
Twists of elliptic curves. Zbl 0887.11025
Ono, K.
9
1997
Combinatorics of traces of Hecke operators. Zbl 1064.11038
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
9
2004
Hypergeometric generating functions for values of Dirichlet and other \(L\) functions. Zbl 1070.33016
Lovejoy, Jeremy; Ono, Ken
9
2003
Congruences and conjectures for the partition function. Zbl 1009.11059
Ahlgren, Scott; Ono, Ken
9
2001
A note on the number of \(t\)-core partitions. Zbl 0852.11055
Ono, Ken
9
1995
On the positivity of the number of \(t\)-core partitions. Zbl 0793.11027
Ono, Ken
9
1994
Partition-theoretic formulas for arithmetic densities. Zbl 1416.11151
Ono, Ken; Schneider, Robert; Wagner, Ian
9
2017
Classical and umbral moonshine: connections and \(p\)-adic properties. Zbl 1425.11072
Ono, Ken; Rolen, Larry; Trebat-Leder, Sarah
9
2015
The partition function in arithmetic progressions. Zbl 0914.11054
Ono, Ken
8
1998
A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017
Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron
8
1998
Parity of the partition function in arithmetic progressions. II. Zbl 1031.11063
Boylan, Matthew; Ono, Ken
8
2001
Congruences for partition functions. Zbl 0852.11056
Eichhorn, Dennis; Ono, Ken
8
1996
A mock theta function for the delta-function. Zbl 1230.11056
Ono, Ken
8
2009
\(q\)-series and weight 3/2 Maass forms. Zbl 1233.11048
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken
8
2009
Elements of class groups and Shafarevich-Tate groups of elliptic curves. Zbl 1048.11044
Balog, Antal; Ono, Ken
7
2003
Arithmetic of certain hypergeometric modular forms. Zbl 1100.11015
Mahlburg, Karl; Ono, Ken
7
2004
The Jack Daniels problem. Zbl 1337.11026
Duncan, John F. R.; Ono, Ken
7
2016
Hook lengths in self-conjugate partitions. Zbl 07881502
Amdeberhan, Tewodros; Andrews, George E.; Ono, Ken; Singh, Ajit
1
2024
Distributions of hook lengths in integer partitions. Zbl 07928679
Griffin, Michael; Ono, Ken; Tsai, Wei-Lun
1
2024
Distribution of values of Gaussian hypergeometric functions. Zbl 1540.11045
Ono, Ken; Saad, Hasan; Saikia, Neelam
5
2023
Variants of Lehmer’s speculation for newforms. Zbl 1533.11077
Balakrishnan, Jennifer S.; Craig, William; Ono, Ken; Tsai, Wei-Lun
5
2023
Euler-Kronecker constants for cyclotomic fields. Zbl 1523.11196
Hong, Letong; Ono, Ken; Zhang, Shengtong
3
2023
Zeros in the character tables of symmetric groups with an \(\ell\)-core index. Zbl 1521.20028
McSpirit, Eleanor; Ono, Ken
3
2023
Eichler integrals of Eisenstein series as \(q\)-brackets of weighted \(t\)-hook functions on partitions. Zbl 1526.11059
Bringmann, Kathrin; Ono, Ken; Wagner, Ian
3
2023
Limiting Betti distributions of Hilbert schemes on \(n\) points. Zbl 1510.14001
Griffin, Michael; Ono, Ken; Rolen, Larry; Tsai, Wei-Lun
1
2023
Turán inequalities for the plane partition function. Zbl 1504.11110
Ono, Ken; Pujahari, Sudhir; Rolen, Larry
16
2022
Distributions on partitions arising from Hilbert schemes and hook lengths. Zbl 1494.05008
Bringmann, Kathrin; Craig, William; Males, Joshua; Ono, Ken
14
2022
Jensen polynomials for the Riemann xi-function. Zbl 1490.11086
Griffin, Michael J.; Ono, Ken; Rolen, Larry; Thorner, Jesse; Tripp, Zachary; Wagner, Ian
10
2022
Variations of Lehmer’s conjecture for Ramanujan’s tau-function. Zbl 1497.11080
Balakrishnan, Jennifer S.; Craig, William; Ono, Ken
7
2022
Even values of Ramanujan’s tau-function. Zbl 1499.11182
Balakrishnan, Jennifer S.; Ono, Ken; Tsai, Wei-Lun
3
2022
Proof of the elliptic expansion moonshine conjecture of Căldăraru, He, and Huang. Zbl 1522.11031
Hong, Letong; Mertens, Michael H.; Ono, Ken; Zhang, Shengtong
1
2022
Some Eichler-Selberg trace formulas. Zbl 1521.11026
Ono, Ken; Saad, Hasan
1
2022
Mock modular Eisenstein series with Nebentypus. Zbl 1471.11136
Mertens, Michael H.; Ono, Ken; Rolen, Larry
6
2021
O’Nan moonshine and arithmetic. Zbl 1510.11101
Duncan, John F. R.; Mertens, Michael H.; Ono, Ken
5
2021
Class numbers and self-conjugate 7-cores. Zbl 1459.05012
Ono, Ken; Raji, Wissam
4
2021
Quadratic twists of elliptic curves and class numbers. Zbl 1483.11113
Griffin, Michael; Ono, Ken; Tsai, Wei-Lun
2
2021
Tamagawa products of elliptic curves over \(\mathbb{Q}\). Zbl 1496.11080
Griffin, Michael; Ono, Ken; Tsai, Wei-Lun
2
2021
Heights of points on elliptic curves over \(\mathbb{Q}\). Zbl 1483.11114
Griffin, Michael; Ono, Ken; Tsai, Wei-Lun
1
2021
Partition-theoretic formulas for arithmetic densities. II. Zbl 1471.05011
Ono, Ken; Schneider, Robert; Wagner, Ian
6
2020
From partitions to Hodge numbers of Hilbert schemes of surfaces. Zbl 1470.11263
Gillman, Nate; Gonzalez, Xavier; Ono, Ken; Rolen, Larry; Schoenbauer, Matthew
5
2020
Elliptic curves and lower bounds for class numbers. Zbl 1481.11109
Griffin, Michael; Ono, Ken
4
2020
Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105
Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don
62
2019
On Witten’s extremal partition functions. Zbl 1433.05037
Ono, Ken; Rolen, Larry
2
2019
Multiquadratic fields generated by characters of \(A_n\). Zbl 1485.20005
Locus Dawsey, Madeline; Ono, Ken; Wagner, Ian
1
2019
On divisors of modular forms. Zbl 1447.11056
Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen; Ono, Ken; Rolen, Larry
19
2018
Black holes and class groups. Zbl 1455.11065
Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry
7
2018
Harmonic Maass forms and mock modular forms: theory and applications. Zbl 1459.11118
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry
129
2017
Partition-theoretic formulas for arithmetic densities. Zbl 1416.11151
Ono, Ken; Schneider, Robert; Wagner, Ian
9
2017
Zeta-polynomials for modular form periods. Zbl 1392.11023
Ono, Ken; Rolen, Larry; Sprung, Florian
7
2017
Explorations in the theory of partition zeta functions. Zbl 1497.11234
Ono, Ken; Rolen, Larry; Schneider, Robert
5
2017
Maximal multiplicative properties of partitions. Zbl 1332.05013
Bessenrodt, Christine; Ono, Ken
31
2016
A framework of Rogers-Ramanujan identities and their arithmetic properties. Zbl 1405.11140
Griffin, Michael J.; Ono, Ken; Warnaar, S. Ole
31
2016
Class polynomials for nonholomorphic modular functions. Zbl 1332.11047
Bruinier, Jan Hendrik; Ono, Ken; Sutherland, Andrew V.
21
2016
Riemann hypothesis for period polynomials of modular forms. Zbl 1412.11075
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
21
2016
The Jack Daniels problem. Zbl 1337.11026
Duncan, John F. R.; Ono, Ken
7
2016
Special values of shifted convolution Dirichlet series. Zbl 1397.11083
Mertens, Michael H.; Ono, Ken
7
2016
\(p\)-adic properties of modular shifted convolution Dirichlet series. Zbl 1397.11082
Bringmann, Kathrin; Mertens, Michael H.; Ono, Ken
3
2016
A note on non-ordinary primes. Zbl 1417.11056
Jin, Seokho; Ma, Wenjun; Ono, Ken
3
2016
The 1729 \(K3\) surface. Zbl 1352.14014
Ono, Ken; Trebat-Leder, Sarah
1
2016
Proof of the umbral moonshine conjecture. Zbl 1383.11052
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
41
2015
Moonshine. Zbl 1380.11030
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
28
2015
Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019
Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry
18
2015
Classical and umbral moonshine: connections and \(p\)-adic properties. Zbl 1425.11072
Ono, Ken; Rolen, Larry; Trebat-Leder, Sarah
9
2015
SU(2)-Donaldson invariants of the complex projective plane. Zbl 1383.57035
Griffin, Michael; Malmendier, Andreas; Ono, Ken
7
2015
Ramanujan’s radial limits. Zbl 1359.11064
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
16
2014
Mock theta functions and quantum modular forms. Zbl 1294.11083
Folsom, Amanda; Ono, Ken; Rhoades, Robert C.
58
2013
Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. Zbl 1304.11021
Bruinier, Jan Hendrik; Ono, Ken
49
2013
Eichler-Shimura theory for mock modular forms. Zbl 1312.11039
Bringmann, Kathrin; Guerzhoy, Pavel; Kent, Zachary; Ono, Ken
34
2013
Ramanujan’s mock theta functions. Zbl 1295.11038
Griffin, Michael; Ono, Ken; Rolen, Larry
21
2013
Hasse invariants for the Clausen elliptic curves. Zbl 1287.11079
El-Guindy, Ahmad; Ono, Ken
5
2013
Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002
Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole
4
2013
Coefficients of harmonic Maass forms. Zbl 1333.11040
Bringmann, Kathrin; Ono, Ken
36
2012
SO(3)-Donaldson invariants of \(\mathbb CP^{2}\) and mock theta functions. Zbl 1255.57028
Malmendier, Andreas; Ono, Ken
18
2012
\(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey. Zbl 1247.11131
Folsom, Amanda; Kent, Zachary A.; Ono, Ken
15
2012
Moonshine for \(M_{24}\) and Donaldson invariants of \(\mathbb{C} \text{P}^2\). Zbl 1274.57009
Malmendier, Andreas; Ono, Ken
7
2012
A mod \(\ell\) Atkin-Lehner theorem and applications. Zbl 1276.11067
Ono, Ken; Ramsey, Nick
6
2012
Congruences for the Andrews spt function. Zbl 1286.11168
Ono, Ken
19
2011
Hook lengths and 3-cores. Zbl 1233.05030
Han, Guo-Niu; Ono, Ken
13
2011
The partition function and Hecke operators. Zbl 1260.11061
Ono, Ken
4
2011
Modular forms arising from \(Q(n)\) and Dyson’s rank. Zbl 1227.11063
Monks, Maria; Ono, Ken
1
2011
Dyson’s ranks and Maass forms. Zbl 1277.11096
Bringmann, Kathrin; Ono, Ken
115
2010
Heegner divisors, \(L\)-functions and harmonic weak Maass forms. Zbl 1244.11046
Bruinier, Jan; Ono, Ken
99
2010
\(p\)-adic coupling of mock modular forms and shadows. Zbl 1205.11047
Guerzhoy, Pavel; Kent, Zachary A.; Ono, Ken
23
2010
Parity of the partition function. Zbl 1234.11139
Ono, Ken
13
2010
The last words of a genius. Zbl 1219.01017
Ono, Ken
6
2010
Identities and congruences for Ramanujan’s \(\omega (q)\). Zbl 1217.11048
Bruinier, Jan H.; Ono, Ken
5
2010
Gauss’s F hypergeometric function and the congruent number elliptic curve. Zbl 1236.11044
El-Guindy, Ahmad; Ono, Ken
4
2010
Unearthing the visions of a master: harmonic Maass forms and number theory. Zbl 1229.11074
Ono, Ken
121
2009
Some characters of Kac and Wakimoto and nonholomorphic modular functions. Zbl 1262.11059
Bringmann, Kathrin; Ono, Ken
18
2009
A mock theta function for the delta-function. Zbl 1230.11056
Ono, Ken
8
2009
\(q\)-series and weight 3/2 Maass forms. Zbl 1233.11048
Bringmann, Kathrin; Folsom, Amanda; Ono, Ken
8
2009
Algebraicity of harmonic Maass forms. Zbl 1247.11053
Ono, Ken
2
2009
Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues. Zbl 1246.11098
Bruinier, Jan H.; Ono, Ken; Rhoades, Robert C.
71
2008
Eulerian series as modular forms. Zbl 1208.11065
Bringmann, Kathrin; Ono, Ken; Rhoades, Robert C.
38
2008
Duality involving the mock theta function \(f(q)\). Zbl 1189.11026
Folsom, Amanda; Ono, Ken
19
2008
Number theoretic properties of Wronskians of Andrews-Gordon series. Zbl 1214.11050
Milas, Antun; Mortenson, Eric; Ono, Ken
2
2008
Mock theta functions, ranks, and Maass forms. Zbl 1183.11064
Ono, Ken
1
2008
Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series. Zbl 1154.11015
Bringmann, Kathrin; Ono, Ken
53
2007
An arithmetic formula for the partition function. Zbl 1156.11040
Bringmann, Kathrin; Ono, Ken
15
2007
Lehmer’s conjecture on Ramanujan’s tau-function. Zbl 1223.11053
Ono, Ken
4
2007
Singular moduli generating functions for modular curves and surfaces. Zbl 1214.11057
Ono, Ken
2
2007
The \(f(q)\) mock theta function conjecture and partition ranks. Zbl 1135.11057
Bringmann, Kathrin; Ono, Ken
111
2006
Floer-Novikov cohomology and the flux conjecture. Zbl 1113.53055
Ono, K.
35
2006
Hilbert class polynomials and traces of singular moduli. Zbl 1091.11011
Bruinier, Jan Hendrik; Jenkins, Paul; Ono, Ken
35
2006
Lifting cusp forms to Maass forms with an application to partitions. Zbl 1191.11013
Bringmann, Kathrin; Ono, Ken
28
2006
Divisibility criteria for class numbers of imaginary quadratic fields. Zbl 1153.11055
Jenkins, Paul; Ono, Ken
1
2006
Honoring a gift from Kumbakonam. Zbl 1094.01012
Ono, Ken
1
2006
Arithmetic of singular moduli and class polynomials. Zbl 1133.11036
Ahlgren, Scott; Ono, Ken
24
2005
Linear relations between modular form coefficients and non-ordinary primes. Zbl 1155.11325
Choie, YoungJu; Kohnen, Winfried; Ono, Ken
21
2005
2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014
Ono, Ken; Taguchi, Yuichiro
20
2005
Reduction of CM elliptic curves and modular function congruences. Zbl 1166.11323
Elkies, Noam; Ono, Ken; Yang, Tonghai
20
2005
Traces of singular moduli on Hilbert modular surfaces. Zbl 1109.11028
Bringmann, Kathrin; Ono, Ken; Rouse, Jeremy
4
2005
Ramanujan’s congruences and Dyson’s crank. Zbl 1155.11349
Andrews, George E.; Ono, Ken
3
2005
Identities for traces of singular moduli. Zbl 1163.11324
Bringmann, Kathrin; Ono, Ken
2
2005
The web of modularity: arithmetic of the coefficients of modular forms and \(q\)-series. Zbl 1119.11026
Ono, Ken
467
2004
The arithmetic of the values of modular functions and the divisors of modular forms. Zbl 1060.11019
Bruinier, Jan H.; Kohnen, Winfried; Ono, Ken
50
2004
Gaussian hypergeometric functions and traces of Hecke operators. Zbl 1088.11029
Frechette, Sharon; Ono, Ken; Papanikolas, Matthew
45
2004
...and 79 more Documents
all top 5

Cited by 1,634 Authors

91 Ono, Ken
88 Bringmann, Kathrin
40 Rolen, Larry
37 Folsom, Amanda L.
37 Kane, Ben
35 Barman, Rupam
31 Kim, Chang Heon
27 Choi, Dohoon
27 Heim, Bernhard Ernst
26 Lovejoy, Jeremy
25 Kim, Byungchan
23 Lim, Subong
23 Neuhauser, Markus
21 Bruinier, Jan Hendrik
20 Ahlgren, Scott D.
20 Choi, Soyoung
20 Rhoades, Robert C.
18 Griffin, Michael J.
18 Swisher, Holly
17 Guerzhoy, Pavel I.
17 Kang, Soon-Yi
17 Males, Joshua
16 Duncan, John F. R.
16 Mahlburg, Karl
16 Mortenson, Eric T.
16 Wang, Liuquan
15 Alfes-Neumann, Claudia
15 Kalita, Gautam
15 Raum, Martin
15 Schwagenscheidt, Markus
14 Andersen, Nickolas
14 Choie, YoungJu
14 Gu, Nancy Shan Shan
14 Guo, Li
14 Jennings-Shaffer, Chris
14 Long, Ling
14 McCarthy, Dermot
14 Tsai, Wei-Lun
13 Alkan, Emre
13 Cheng, Miranda C. N.
13 Kohnen, Winfried
13 Masri, Riad
13 Osburn, Robert
13 Richter, Olav K.
13 Wagner, Ian
12 Baruah, Nayandeep Deka
12 Craig, William
12 Garvan, Frank G.
12 Jeon, Daeyeol
12 Li, Yingkun
12 Xia, Ernest X. W.
12 Ye, Dongxi
12 Zudilin, Wadim
11 Andrews, George Eyre
11 Berndt, Bruce Carl
11 Chen, Shichao
11 Cui, Su-Ping
11 Mertens, Michael Helmut
11 Radu, Cristian-Silviu
11 Sellers, James Allen
11 Singh, Ajit
11 Tang, Dazhao
11 Voskresenskaya, Galina Valentinovna
11 Zaharescu, Alexandru
10 Jameson, Marie
10 Mao, Renrong
10 Ray, Chiranjit
10 Sills, Andrew V.
10 Thorner, Jesse
9 Bessenrodt, Christine
9 Dai, Haobo
9 Hikami, Kazuhiro
9 Lin, Bernard L. S.
9 Löbrich, Steffen
9 Milas, Antun
9 Penniston, David
9 Saikia, Neelam
9 Tong-Viet, Hung P.
8 Aygin, Zafer Selçuk
8 Beckwith, Olivia
8 Chen, William Yong-Chuan
8 Keith, William J.
8 Rouse, Jeremy A.
8 Sun, Zhi-Wei
8 Tu, Fang-Ting
7 Beneish, Lea
7 Chan, Heng Huat
7 Dawsey, Madeline Locus
7 Diamantis, Nikolaos
7 Dicks, Robert
7 Dousse, Jehanne
7 Du, Julia Q. D.
7 Garthwaite, Sharon Anne
7 Gun, Sanoli
7 Guo, Victor J. W.
7 Harrison, Sarah M.
7 James, Kevin
7 Jin, Seokho
7 Kent, Zachary A.
7 Larson, Hannah K.
...and 1,534 more Authors
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Cited in 209 Serials

220 The Ramanujan Journal
186 Journal of Number Theory
149 International Journal of Number Theory
127 Proceedings of the American Mathematical Society
94 Research in Number Theory
69 Research in the Mathematical Sciences
68 Advances in Mathematics
55 Journal of Mathematical Analysis and Applications
52 Transactions of the American Mathematical Society
34 Journal of Combinatorial Theory. Series A
32 Annals of Combinatorics
30 Journal of Algebra
28 Journal of High Energy Physics
26 Mathematische Annalen
24 Discrete Mathematics
23 Acta Arithmetica
22 Archiv der Mathematik
21 Bulletin of the Australian Mathematical Society
21 Advances in Applied Mathematics
18 Mathematics of Computation
18 Journal de Théorie des Nombres de Bordeaux
18 Integers
16 Proceedings of the Japan Academy. Series A
16 Forum Mathematicum
15 Mathematische Zeitschrift
14 Functiones et Approximatio. Commentarii Mathematici
12 Communications in Algebra
12 Rocky Mountain Journal of Mathematics
12 Proceedings of the National Academy of Sciences of the United States of America
12 The Electronic Journal of Combinatorics
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Bulletin of the London Mathematical Society
11 Duke Mathematical Journal
11 Journal of the Ramanujan Mathematical Society
11 Finite Fields and their Applications
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Journal of the Australian Mathematical Society
10 Journal of Algebra and its Applications
9 Journal für die Reine und Angewandte Mathematik
9 Results in Mathematics
9 Mathematics
8 Communications in Mathematical Physics
8 Israel Journal of Mathematics
8 Compositio Mathematica
8 Mathematika
8 Monatshefte für Mathematik
8 Séminaire Lotharingien de Combinatoire
8 Journal of Physics A: Mathematical and Theoretical
8 Open Mathematics
7 Indian Journal of Pure & Applied Mathematics
7 Mathematical Notes
7 Journal of Pure and Applied Algebra
7 Forum of Mathematics, Sigma
6 Letters in Mathematical Physics
6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
6 Manuscripta Mathematica
6 Pacific Journal of Mathematics
6 Algebra & Number Theory
6 Involve
6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Journal of Mathematical Physics
5 Inventiones Mathematicae
5 Journal of the Korean Mathematical Society
5 Nagoya Mathematical Journal
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 European Journal of Combinatorics
5 Expositiones Mathematicae
5 Experimental Mathematics
5 Journal of Algebraic Combinatorics
5 Journal of Group Theory
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Advances in Difference Equations
5 Transactions of the American Mathematical Society. Series B
4 Canadian Mathematical Bulletin
4 Colloquium Mathematicum
4 Journal of the London Mathematical Society. Second Series
4 Journal of Symbolic Computation
4 Journal of Mathematical Sciences (New York)
4 Algebras and Representation Theory
4 Journal of Integer Sequences
4 Annals of Mathematics. Second Series
4 Proceedings of the American Mathematical Society. Series B
4 Electronic Research Archive
3 Nuclear Physics. B
3 American Journal of Mathematics
3 Annales de l’Institut Fourier
3 Glasgow Mathematical Journal
3 International Journal of Mathematics and Mathematical Sciences
3 Memoirs of the American Mathematical Society
3 Quaestiones Mathematicae
3 International Journal of Mathematics
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Indagationes Mathematicae. New Series
3 Selecta Mathematica. New Series
3 Journal of Difference Equations and Applications
3 Journal of Inequalities and Applications
3 LMS Journal of Computation and Mathematics
3 Journal of the European Mathematical Society (JEMS)
...and 109 more Serials
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Cited in 49 Fields

1,785 Number theory (11-XX)
510 Combinatorics (05-XX)
268 Special functions (33-XX)
141 Group theory and generalizations (20-XX)
137 Algebraic geometry (14-XX)
78 Nonassociative rings and algebras (17-XX)
73 Quantum theory (81-XX)
36 Associative rings and algebras (16-XX)
28 Functions of a complex variable (30-XX)
27 Relativity and gravitational theory (83-XX)
26 Manifolds and cell complexes (57-XX)
17 Commutative algebra (13-XX)
16 Computer science (68-XX)
14 Probability theory and stochastic processes (60-XX)
12 Real functions (26-XX)
11 Field theory and polynomials (12-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Global analysis, analysis on manifolds (58-XX)
10 History and biography (01-XX)
10 Topological groups, Lie groups (22-XX)
9 Differential geometry (53-XX)
9 Information and communication theory, circuits (94-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Sequences, series, summability (40-XX)
8 Approximations and expansions (41-XX)
7 Integral transforms, operational calculus (44-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Category theory; homological algebra (18-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 General and overarching topics; collections (00-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Ordinary differential equations (34-XX)
4 Partial differential equations (35-XX)
4 Algebraic topology (55-XX)
3 \(K\)-theory (19-XX)
3 Difference and functional equations (39-XX)
3 Geometry (51-XX)
3 Numerical analysis (65-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General algebraic systems (08-XX)
2 Measure and integration (28-XX)
2 Abstract harmonic analysis (43-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 Convex and discrete geometry (52-XX)
2 Mechanics of particles and systems (70-XX)
2 Operations research, mathematical programming (90-XX)
1 Statistics (62-XX)
1 Astronomy and astrophysics (85-XX)

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