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Duke, William Drexel

Co-Author Distance
Author ID:duke.william-d Recent zbMATH articles by "Duke, William Drexel"
Published as:Duke, W.;Duke, William;Duke, William D.
Homepage:http://www.math.ucla.edu/~wdduke/
External Links:MGP ·Wikidata ·IdRef
Documents Indexed:92 Publications since 1988, including2 Additional arXiv Preprints
1 Contribution as Editor
Co-Authors:28 Co-Authors with 58 Joint Publications
869 Co-Co-Authors
alltop 5

Serials

11 Inventiones Mathematicae
8 IMRN. International Mathematics Research Notices
6 Mathematische Annalen
5 Duke Mathematical Journal
4 Acta Arithmetica
3 Journal of Number Theory
3 Annals of Mathematics. Second Series
2 Compositio Mathematica
2 Functiones et Approximatio. Commentarii Mathematici
2 Proceedings of the American Mathematical Society
2 Notices of the American Mathematical Society
2 Experimental Mathematics
2 Journal de Théorie des Nombres de Bordeaux
2 The Ramanujan Journal
2 Algebra & Number Theory
1 American Mathematical Monthly
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Advances in Mathematics
1 American Journal of Mathematics
1 Bulletin of the London Mathematical Society
1 Pacific Journal of Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Documenta Mathematica
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of Integer Sequences
1 Journal of the European Mathematical Society (JEMS)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Pure and Applied Mathematics Quarterly
1 Clay Mathematics Proceedings
1 Research in the Mathematical Sciences
1 Discrete Analysis
1 Essential Number Theory

Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 1,797 times in1,322 DocumentsCited by ▼Year ▼
Hyperbolic distribution problems and half-integral weight Maass forms. Zbl 0628.10029
Duke, W.
1988
Density of integer points on affine homogeneous varieties. Zbl 0798.11024
Duke, W.;Rudnick, Z.;Sarnak, P.
1993
Bounds for automorphic \(L\)-functions. Zbl 0765.11038
Duke, W.;Friedlander, J.;Iwaniec, H.
1993
The subconvexity problem for Artin \(L\)-functions. Zbl 1056.11072
Duke, W.;Friedlander, J. B.;Iwaniec, H.
2002
On the zeros and coefficients of certain weakly holomorphic modular forms. Zbl 1200.11027
Duke, W.;Jenkins, Paul
2008
Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids. Zbl 0692.10020
Duke, William;Schulze-Pillot, Rainer
1990
Cycle integrals of the \(j\)-function and mock modular forms. Zbl 1270.11044
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2011
A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations. Appendix: Recovering modular forms from squares by Dinakar Ramakrishnan. Zbl 1033.11026
Duke, W.;Kowalski, E.
2000
Bounds for automorphic \(L\)-functions. II. Zbl 0812.11032
Duke, W.;Friedlander, J. B.;Iwaniec, H.
1994
Equidistribution of roots of a quadratic congruence to prime moduli. Zbl 0840.11003
Duke, W.;Friedlander, J. B.;Iwaniec, H.
1995
A quadratic divisor problem. Zbl 0791.11049
Duke, W.;Friedlander, J. B.;Iwaniec, H.
1994
Elliptic curves with no exceptional primes. Zbl 1002.11049
Duke, William
1997
The distribution of the eigenvalues of Hecke operators. Zbl 0876.11020
Conrey, J. B.;Duke, W.;Farmer, D. W.
1997
The critical order of vanishing of automorphic \(L\)-functions with large level. Zbl 0838.11035
Duke, W.
1995
Bilinear forms with Kloosterman fractions. Zbl 0873.11050
Duke, W.;Friedlander, J.;Iwaniec, H.
1997
Continued fractions and modular functions. Zbl 1109.11026
Duke, W.
2005
Modular functions and the uniform distribution of CM points. Zbl 1091.11012
Duke, W.
2006
Integral traces of singular values of weak Maass forms. Zbl 1215.11046
Duke, William;Jenkins, Paul
2008
A converse theorem and the Saito-Kurokawa lift. Zbl 0849.11039
Duke, W.;Imamoḡlu, Özlem
1996
Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes. Zbl 0671.10021
Duke, W.;Iwaniec, H.
1990
Rational period functions and cycle integrals. Zbl 1269.11040
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2010
The splitting of primes in division fields of elliptic curves. Zbl 1162.11348
Duke, W.;Tóth, Á.
2002
Weyl sums for quadratic roots. Zbl 1300.11086
Duke, W.;Friedlander, J. B.;Iwaniec, H.
2012
When is the product of two Hecke eigenforms an eigenform? Zbl 0953.11017
Duke, W.
1999
Geometric invariants for real quadratic fields. Zbl 1372.11056
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2016
Class group \(L\)-functions. Zbl 0838.11058
Duke, W.;Friedlander, J.;Iwaniec, H.
1995
Real quadratic analogs of traces of singular moduli. Zbl 1270.11049
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2011
Fourier series of modular graph functions. Zbl 1444.11180
D’Hoker, Eric;Duke, William
2018
A relation between cubic exponential and Kloosterman sums. Zbl 0792.11029
Duke, W.;Iwaniec, H.
1993
Estimating Hecke eigenvalues of Siegel modular forms. Zbl 0766.11026
Duke, W.;Howe, R.;Li, J.-S.
1992
An estimate for the Hecke eigenvalues of Maass forms. Zbl 0760.11017
Bump, Daniel;Duke, W.;Hoffstein, Jeffrey;Iwaniec, Henryk
1992
Kronecker’s first limit formula, revisited. Zbl 1441.11085
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2018
Bounds for automorphic \(L\)-functions. III. Zbl 1163.11325
Duke, W.;Friedlander, J. B.;Iwaniec, H.
2001
Almost a century of answering the question: what is a mock theta function? Zbl 1338.11001
Duke, W.
2014
Bounds for arithmetic multiplicities. Zbl 0907.11015
Duke, W.
1998
On codes and Siegel modular forms. Zbl 0785.94008
Duke, W.
1993
On ternary quadratic forms. Zbl 1155.11320
Duke, W.
2005
Modular cocycles and linking numbers. Zbl 1408.57005
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2017
Quadratic reciprocity in a finite group. Zbl 1125.20003
Duke, William;Hopkins, Kimberly
2005
Regularized inner products of modular functions. Zbl 1418.11069
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2016
Harmonic Maass forms of weight 1. Zbl 1414.11057
Duke, W.;Li, Y.
2015
Extreme values of Artin \(L\)-functions and class numbers. Zbl 1013.11072
Duke, W.
2003
The dimension of the space of cusp forms of weight one. Zbl 0843.11024
Duke, W.
1995
Some problems in multidimensional analytic number theory. Zbl 0631.12008
Duke, William D.
1989
Rational points on the sphere. Zbl 1156.11316
Duke, W.
2003
The graphic nature of Gaussian periods. Zbl 1329.11083
Duke, William;Garcia, Stephan Ramon;Lutz, Bob
2015
Some old problems and new results about quadratic forms. Zbl 0969.11002
Duke, William
1997
Estimates for coefficients of L-functions. I. Zbl 0745.11030
Duke, W.;Iwaniec, H.
1990
Modular invariants for real quadratic fields and Kloosterman sums. Zbl 1469.11097
Andersen, Nickolas;Duke, William D.
2020
Representations by the determinant and mean values of \(L\)-functions. Zbl 0927.11046
Duke, W.;Friedlander, J.;Iwaniec, H.
1997
Almost all reductions modulo \(p\) of an elliptic curve have a large exponent. Zbl 1048.11045
Duke, William
2003
Siegel modular forms of small weight. Zbl 0892.11017
Duke, W.;Imamoglu, Ö.
1998
Number fields with large class group. Zbl 1104.11050
Duke, William
2004
Reductions of an elliptic curve and their Tate-Shafarevich groups. Zbl 1062.11039
Cojocaru, A. C.;Duke, W.
2004
Estimates for coefficients of \(L\)-functions. IV. Zbl 0820.11032
Duke, W.;Iwaniec, H.
1994
Probabilistic Galois theory of reciprocal polynomials. Zbl 0916.11056
Davis, S.;Duke, W.;Sun, X.
1998
On a formula of Bloch. Zbl 1213.11141
Duke, William;Imamoḡlu, Özlem
2007
An introduction to the Linnik problems. Zbl 1177.11034
Duke, W.
2007
The zeros of the Weierstrass \(\wp\)-function and hypergeometric series. Zbl 1222.33017
Duke, W.;Imamoḡlu, Özlem
2008
Estimates for coefficients of \(L\)-functions. II. Zbl 0787.11020
Duke, W.;Iwaniec, H.
1992
Erratum: “Bounds for automorphic \(L\)-functions. II”. Zbl 1056.11504
Duke, W.;Friedlander, J.;Iwaniec, H.
2000
A combinatorial problem related to Mahler’s measure. Zbl 1126.05012
Duke, W.
2007
Infinite products of cyclotomic polynomials. Zbl 1320.11087
Duke, William;Nguyen, Ha Nam
2015
Some entries in Ramanujan’s notebooks. Zbl 1230.33009
Duke, W.
2008
On multiple Salié sums. Zbl 0758.11050
Duke, W.
1992
Estimates for coefficients of \(L\)-functions. III. Zbl 0763.11024
Duke, W.;Iwaniec, H.
1992
Fourth moments of \(L\)-functions attached to newforms. Zbl 0659.10025
Duke, William D.
1988
On a theorem of Davenport and Schmidt. Zbl 1468.11158
Andersen, Nickolas;Duke, William
2021
Asymptotic distribution of traces of singular moduli. Zbl 1511.11044
Andersen, Nickolas;Duke, William
2022
Convolution \(L\)-series. Zbl 0820.11033
Duke, W.;Iwaniec, H.
1994
Special values of multiple gamma functions. Zbl 1169.11316
Duke, William;Imamoḡlu, Özlem
2006
On a class number formula of Hurwitz. Zbl 1495.11055
Duke, William;Imamoḡlu, Özlem;Tóth, Árpad
2021
Markov spectra for modular billiards. Zbl 1433.37027
Andersen, Nickolas;Duke, William
2019
Properties of a quadratic Fibonacci recurrence. Zbl 1044.11539
Duke, W.;Greenfield, Stephen J.;Speer, Eugene R.
1998
Lattice points in cones and Dirichlet series. Zbl 1079.11053
Duke, W.;Imamoḡlu, Ö.
2004
The Minkowski chain and Diophantine approximation. Zbl 1460.11098
Andersen, Nickolas;Duke, William
2020
Lattice points on ellipsoids. Zbl 0714.11026
Duke, W.
1988
On elliptic curves and binary quartic forms. Zbl 1519.11015
Duke, W.
2022
Asymptotic distribution of traces of singular moduli. Zbl 1511.11044
Andersen, Nickolas;Duke, William
2022
On elliptic curves and binary quartic forms. Zbl 1519.11015
Duke, W.
2022
On a theorem of Davenport and Schmidt. Zbl 1468.11158
Andersen, Nickolas;Duke, William
2021
On a class number formula of Hurwitz. Zbl 1495.11055
Duke, William;Imamoḡlu, Özlem;Tóth, Árpad
2021
Modular invariants for real quadratic fields and Kloosterman sums. Zbl 1469.11097
Andersen, Nickolas;Duke, William D.
2020
The Minkowski chain and Diophantine approximation. Zbl 1460.11098
Andersen, Nickolas;Duke, William
2020
Markov spectra for modular billiards. Zbl 1433.37027
Andersen, Nickolas;Duke, William
2019
Fourier series of modular graph functions. Zbl 1444.11180
D’Hoker, Eric;Duke, William
2018
Kronecker’s first limit formula, revisited. Zbl 1441.11085
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2018
Modular cocycles and linking numbers. Zbl 1408.57005
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2017
Geometric invariants for real quadratic fields. Zbl 1372.11056
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2016
Regularized inner products of modular functions. Zbl 1418.11069
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2016
Harmonic Maass forms of weight 1. Zbl 1414.11057
Duke, W.;Li, Y.
2015
The graphic nature of Gaussian periods. Zbl 1329.11083
Duke, William;Garcia, Stephan Ramon;Lutz, Bob
2015
Infinite products of cyclotomic polynomials. Zbl 1320.11087
Duke, William;Nguyen, Ha Nam
2015
Almost a century of answering the question: what is a mock theta function? Zbl 1338.11001
Duke, W.
2014
Weyl sums for quadratic roots. Zbl 1300.11086
Duke, W.;Friedlander, J. B.;Iwaniec, H.
2012
Cycle integrals of the \(j\)-function and mock modular forms. Zbl 1270.11044
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2011
Real quadratic analogs of traces of singular moduli. Zbl 1270.11049
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2011
Rational period functions and cycle integrals. Zbl 1269.11040
Duke, W.;Imamoḡlu, Ö.;Tóth, Á.
2010
On the zeros and coefficients of certain weakly holomorphic modular forms. Zbl 1200.11027
Duke, W.;Jenkins, Paul
2008
Integral traces of singular values of weak Maass forms. Zbl 1215.11046
Duke, William;Jenkins, Paul
2008
The zeros of the Weierstrass \(\wp\)-function and hypergeometric series. Zbl 1222.33017
Duke, W.;Imamoḡlu, Özlem
2008
Some entries in Ramanujan’s notebooks. Zbl 1230.33009
Duke, W.
2008
On a formula of Bloch. Zbl 1213.11141
Duke, William;Imamoḡlu, Özlem
2007
An introduction to the Linnik problems. Zbl 1177.11034
Duke, W.
2007
A combinatorial problem related to Mahler’s measure. Zbl 1126.05012
Duke, W.
2007
Modular functions and the uniform distribution of CM points. Zbl 1091.11012
Duke, W.
2006
Special values of multiple gamma functions. Zbl 1169.11316
Duke, William;Imamoḡlu, Özlem
2006
Continued fractions and modular functions. Zbl 1109.11026
Duke, W.
2005
On ternary quadratic forms. Zbl 1155.11320
Duke, W.
2005
Quadratic reciprocity in a finite group. Zbl 1125.20003
Duke, William;Hopkins, Kimberly
2005
Number fields with large class group. Zbl 1104.11050
Duke, William
2004
Reductions of an elliptic curve and their Tate-Shafarevich groups. Zbl 1062.11039
Cojocaru, A. C.;Duke, W.
2004
Lattice points in cones and Dirichlet series. Zbl 1079.11053
Duke, W.;Imamoḡlu, Ö.
2004
Extreme values of Artin \(L\)-functions and class numbers. Zbl 1013.11072
Duke, W.
2003
Rational points on the sphere. Zbl 1156.11316
Duke, W.
2003
Almost all reductions modulo \(p\) of an elliptic curve have a large exponent. Zbl 1048.11045
Duke, William
2003
The subconvexity problem for Artin \(L\)-functions. Zbl 1056.11072
Duke, W.;Friedlander, J. B.;Iwaniec, H.
2002
The splitting of primes in division fields of elliptic curves. Zbl 1162.11348
Duke, W.;Tóth, Á.
2002
Bounds for automorphic \(L\)-functions. III. Zbl 1163.11325
Duke, W.;Friedlander, J. B.;Iwaniec, H.
2001
A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations. Appendix: Recovering modular forms from squares by Dinakar Ramakrishnan. Zbl 1033.11026
Duke, W.;Kowalski, E.
2000
Erratum: “Bounds for automorphic \(L\)-functions. II”. Zbl 1056.11504
Duke, W.;Friedlander, J.;Iwaniec, H.
2000
When is the product of two Hecke eigenforms an eigenform? Zbl 0953.11017
Duke, W.
1999
Bounds for arithmetic multiplicities. Zbl 0907.11015
Duke, W.
1998
Siegel modular forms of small weight. Zbl 0892.11017
Duke, W.;Imamoglu, Ö.
1998
Probabilistic Galois theory of reciprocal polynomials. Zbl 0916.11056
Davis, S.;Duke, W.;Sun, X.
1998
Properties of a quadratic Fibonacci recurrence. Zbl 1044.11539
Duke, W.;Greenfield, Stephen J.;Speer, Eugene R.
1998
Elliptic curves with no exceptional primes. Zbl 1002.11049
Duke, William
1997
The distribution of the eigenvalues of Hecke operators. Zbl 0876.11020
Conrey, J. B.;Duke, W.;Farmer, D. W.
1997
Bilinear forms with Kloosterman fractions. Zbl 0873.11050
Duke, W.;Friedlander, J.;Iwaniec, H.
1997
Some old problems and new results about quadratic forms. Zbl 0969.11002
Duke, William
1997
Representations by the determinant and mean values of \(L\)-functions. Zbl 0927.11046
Duke, W.;Friedlander, J.;Iwaniec, H.
1997
A converse theorem and the Saito-Kurokawa lift. Zbl 0849.11039
Duke, W.;Imamoḡlu, Özlem
1996
Equidistribution of roots of a quadratic congruence to prime moduli. Zbl 0840.11003
Duke, W.;Friedlander, J. B.;Iwaniec, H.
1995
The critical order of vanishing of automorphic \(L\)-functions with large level. Zbl 0838.11035
Duke, W.
1995
Class group \(L\)-functions. Zbl 0838.11058
Duke, W.;Friedlander, J.;Iwaniec, H.
1995
The dimension of the space of cusp forms of weight one. Zbl 0843.11024
Duke, W.
1995
Bounds for automorphic \(L\)-functions. II. Zbl 0812.11032
Duke, W.;Friedlander, J. B.;Iwaniec, H.
1994
A quadratic divisor problem. Zbl 0791.11049
Duke, W.;Friedlander, J. B.;Iwaniec, H.
1994
Estimates for coefficients of \(L\)-functions. IV. Zbl 0820.11032
Duke, W.;Iwaniec, H.
1994
Convolution \(L\)-series. Zbl 0820.11033
Duke, W.;Iwaniec, H.
1994
Density of integer points on affine homogeneous varieties. Zbl 0798.11024
Duke, W.;Rudnick, Z.;Sarnak, P.
1993
Bounds for automorphic \(L\)-functions. Zbl 0765.11038
Duke, W.;Friedlander, J.;Iwaniec, H.
1993
A relation between cubic exponential and Kloosterman sums. Zbl 0792.11029
Duke, W.;Iwaniec, H.
1993
On codes and Siegel modular forms. Zbl 0785.94008
Duke, W.
1993
Estimating Hecke eigenvalues of Siegel modular forms. Zbl 0766.11026
Duke, W.;Howe, R.;Li, J.-S.
1992
An estimate for the Hecke eigenvalues of Maass forms. Zbl 0760.11017
Bump, Daniel;Duke, W.;Hoffstein, Jeffrey;Iwaniec, Henryk
1992
Estimates for coefficients of \(L\)-functions. II. Zbl 0787.11020
Duke, W.;Iwaniec, H.
1992
On multiple Salié sums. Zbl 0758.11050
Duke, W.
1992
Estimates for coefficients of \(L\)-functions. III. Zbl 0763.11024
Duke, W.;Iwaniec, H.
1992
Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids. Zbl 0692.10020
Duke, William;Schulze-Pillot, Rainer
1990
Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes. Zbl 0671.10021
Duke, W.;Iwaniec, H.
1990
Estimates for coefficients of L-functions. I. Zbl 0745.11030
Duke, W.;Iwaniec, H.
1990
Some problems in multidimensional analytic number theory. Zbl 0631.12008
Duke, William D.
1989
Hyperbolic distribution problems and half-integral weight Maass forms. Zbl 0628.10029
Duke, W.
1988
Fourth moments of \(L\)-functions attached to newforms. Zbl 0659.10025
Duke, William D.
1988
Lattice points on ellipsoids. Zbl 0714.11026
Duke, W.
1988
alltop 5

Cited by 1,154 Authors

30 Blomer, Valentin
27 Duke, William Drexel
24 Michel, Philippe Gabriel
20 Choi, Soyoung
20 Kane, Ben
20 Young, Matthew P.
19 Kim, Chang Heon
18 Shparlinski, Igor E.
17 Kowalski, Emmanuel
16 Sarnak, Peter Clive
15 Gorodnik, Alexander
14 Oh, Hee
13 Iwaniec, Henryk
13 Munshi, Ritabrata
12 Andersen, Nickolas
12 Bringmann, Kathrin
11 Fouvry, Etienne
11 Imamoḡlu, Özlem
11 Masri, Riad
11 Nevo, Amos
11 Templier, Nicolas
11 Tóth, Árpád
11 Zaharescu, Alexandru
10 Einsiedler, Manfred Leopold
10 Oura, Manabu
9 Browning, Timothy Daniel
9 Fomenko, Oleg Mstislavovich
9 Huang, Bingrong
9 Shah, Nimish A.
9 Venkatesh, Akshay
9 Wu, Jie
8 Cho, Peter Jaehyun
8 Folsom, Amanda L.
8 Friedlander, John Benjamin
8 Hou, Fei
8 Kang, Soon-Yi
8 Kim, Henry H.
8 Kohnen, Winfried
8 Kontorovich, Alex V.
8 Lau, Yuk-Kam
8 Li, Yingkun
8 Lu, Guangshi
8 Mizuno, Yoshinori
8 Morton, Patrick
8 Ono, Ken
8 Zhang, Wenpeng
7 Bruinier, Jan Hendrik
7 Dorigoni, Daniele
7 Garcia, Stephan Ramon
7 Humphries, Peter J.
7 Im, Bo-Hae
7 Jeon, Daeyeol
7 Khan, Rizwanur
7 Kleinschmidt, Axel
7 Liu, Sheng-Chi
7 Pratt, Kyle
7 Ray, Anwesh
7 Sun, Qingfeng
7 Xue, Hui
7 Yang, Tonghai
6 Buttcane, Jack
6 Choi, Dohoon
6 Choie, YoungJu
6 Conrey, John Brian
6 Cooper, Shaun
6 Griffin, Michael J.
6 Harcos, Gergely
6 Luo, Wenzhi
6 Raum, Martin
6 Richard, Rodolphe
6 Rudnick, Zeév
6 Schlotterer, Oliver
6 Schwagenscheidt, Markus
6 Thorner, Jesse
6 Wu, Hai-Liang
6 Zhang, Yichao
5 Aka, Menny
5 Alfes-Neumann, Claudia
5 Balkanova, Ol’ga Germanovna
5 Bengoechea, Paloma
5 Bourgain, Jean
5 Brumley, Farrell
5 Cojocaru, Alina Carmen
5 Gun, Sanoli
5 Keating, Jonathan Peter
5 Kelmer, Dubi
5 Lim, Subong
5 Matsusaka, Toshiki
5 Matthes, Roland
5 Murty, Maruti Ram
5 Nelson, Paul D.
5 Park, Yoon Kyung
5 Pierce, Lillian B.
5 Pollack, Paul
5 Radziwiłł, Maksym
5 Rolen, Larry
5 Sawin, William F.
5 Schulze-Pillot, Rainer
5 Singh, Saurabh Kumar
5 Ye, Dongxi
...and 1,054 more Authors
alltop 5

Cited in 184 Serials

156 Journal of Number Theory
66 The Ramanujan Journal
62 Duke Mathematical Journal
52 International Journal of Number Theory
41 Mathematische Annalen
36 Proceedings of the American Mathematical Society
31 Compositio Mathematica
31 Inventiones Mathematicae
27 Acta Arithmetica
27 Transactions of the American Mathematical Society
26 Advances in Mathematics
26 Mathematische Zeitschrift
24 Forum Mathematicum
24 Research in Number Theory
22 Journal für die Reine und Angewandte Mathematik
22 Journal de Théorie des Nombres de Bordeaux
22 Algebra & Number Theory
21 Israel Journal of Mathematics
21 Journal of the European Mathematical Society (JEMS)
18 Research in the Mathematical Sciences
15 Journal of Mathematical Analysis and Applications
15 Geometric and Functional Analysis. GAFA
14 Annales de l’Institut Fourier
14 Journal of the London Mathematical Society. Second Series
14 Journal of Mathematical Sciences (New York)
13 Mathematika
13 Annals of Mathematics. Second Series
13 Journal of High Energy Physics
12 Forum of Mathematics, Sigma
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Archiv der Mathematik
11 Monatshefte für Mathematik
10 Functiones et Approximatio. Commentarii Mathematici
10 Bulletin of the American Mathematical Society. New Series
9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 Mathematics of Computation
8 Ergodic Theory and Dynamical Systems
8 Experimental Mathematics
7 Bulletin of the Australian Mathematical Society
7 Bulletin of the London Mathematical Society
7 Nagoya Mathematical Journal
7 Proceedings of the Japan Academy. Series A
7 Journal of the American Mathematical Society
6 Lithuanian Mathematical Journal
6 Publications Mathématiques
6 Pacific Journal of Mathematics
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of the Institute of Mathematics of Jussieu
6 Open Mathematics
5 Communications in Mathematical Physics
5 Discrete Mathematics
5 Commentarii Mathematici Helvetici
5 Journal of Functional Analysis
5 Proceedings of the London Mathematical Society. Third Series
5 Acta Mathematica Hungarica
5 Finite Fields and their Applications
5 Journal of the Australian Mathematical Society
4 Rocky Mountain Journal of Mathematics
4 Geometriae Dedicata
4 Memoirs of the American Mathematical Society
4 Results in Mathematics
4 Journal of the Ramanujan Mathematical Society
4 Indagationes Mathematicae. New Series
4 Annales Henri Poincaré
4 Integers
4 Science China. Mathematics
4 Forum of Mathematics, Pi
3 Journal d’Analyse Mathématique
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Czechoslovak Mathematical Journal
3 Manuscripta Mathematica
3 Revista Matemática Iberoamericana
3 IMRN. International Mathematics Research Notices
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Kyushu Journal of Mathematics
3 Acta Mathematica Sinica. English Series
3 Oberwolfach Reports
3 Chebyshevskiĭ Sbornik
3 Journal of Physics A: Mathematical and Theoretical
3 Japanese Journal of Mathematics. 3rd Series
3 Discrete Analysis
3 Transactions of the American Mathematical Society. Series B
2 Communications on Pure and Applied Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Nonlinearity
2 Physics Letters. B
2 Russian Mathematical Surveys
2 Canadian Journal of Mathematics
2 Glasgow Mathematical Journal
2 Indiana University Mathematics Journal
2 Journal of Algebra
2 Journal of the Mathematical Society of Japan
2 Mathematische Nachrichten
2 Osaka Journal of Mathematics
2 Proceedings of the National Academy of Sciences of the United States of America
2 Expositiones Mathematicae
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 St. Petersburg Mathematical Journal
2 The New York Journal of Mathematics
2 Sbornik: Mathematics
...and 84 more Serials
alltop 5

Cited in 46 Fields

1,208 Number theory (11-XX)
126 Algebraic geometry (14-XX)
94 Dynamical systems and ergodic theory (37-XX)
92 Topological groups, Lie groups (22-XX)
33 Group theory and generalizations (20-XX)
31 Quantum theory (81-XX)
29 Special functions (33-XX)
27 Combinatorics (05-XX)
27 Global analysis, analysis on manifolds (58-XX)
20 Probability theory and stochastic processes (60-XX)
18 Partial differential equations (35-XX)
16 Manifolds and cell complexes (57-XX)
15 Functions of a complex variable (30-XX)
15 Information and communication theory, circuits (94-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
12 Differential geometry (53-XX)
11 Abstract harmonic analysis (43-XX)
10 Convex and discrete geometry (52-XX)
10 Relativity and gravitational theory (83-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Measure and integration (28-XX)
6 General and overarching topics; collections (00-XX)
6 Field theory and polynomials (12-XX)
5 Ordinary differential equations (34-XX)
5 Fluid mechanics (76-XX)
4 Commutative algebra (13-XX)
3 Associative rings and algebras (16-XX)
3 Nonassociative rings and algebras (17-XX)
3 Geometry (51-XX)
3 Numerical analysis (65-XX)
3 Computer science (68-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 General topology (54-XX)
2 Mechanics of particles and systems (70-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year

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