Edit Profile Duke, William Drexel Compute Distance To: Compute Author ID: duke.william-d Published as: Duke, W.; Duke, William; Duke, William D. Homepage: http://www.math.ucla.edu/~wdduke/ External Links: MGP · Wikidata Documents Indexed: 80 Publications since 1988, including 1 Book all top 5 Co-Authors 25 single-authored 20 Iwaniec, Henryk 13 Imamoḡlu, Özlem 11 Friedlander, John Benjamin 8 Tóth, Árpád 4 Andersen, Nickolas 2 Jenkins, Paul M. 2 Nguyen, Ha-Nam 1 Bump, Daniel 1 Cojocaru, Alina Carmen 1 Conrey, John Brian 1 Davis, Shane 1 D’Hoker, Eric 1 Farmer, David W. 1 Garcia, Stephan Ramon 1 Greenfield, Stephen J. 1 Hoffstein, Jeffrey 1 Hopkins, Kimberly 1 Howe, Roger Evans 1 Kowalski, Emmanuel 1 Li, Jian-Shu 1 Li, Yingkun 1 Lutz, Bob 1 Rudnick, Zeév 1 Sarnak, Peter Clive 1 Schulze-Pillot, Rainer 1 Speer, Eugene R. 1 Sun, Xijie 1 Tschinkel, Yuri all top 5 Serials 11 Inventiones Mathematicae 7 IMRN. International Mathematics Research Notices 6 Mathematische Annalen 5 Duke Mathematical Journal 3 Acta Arithmetica 3 Journal of Number Theory 3 Annals of Mathematics. Second Series 2 Compositio Mathematica 2 Proceedings of the American Mathematical Society 2 Notices of the American Mathematical Society 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 Mathematical Proceedings of the Cambridge Philosophical Society 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Functiones et Approximatio. Commentarii Mathematici 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Experimental Mathematics 1 Documenta Mathematica 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Integer Sequences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Pure and Applied Mathematics Quarterly 1 Clay Mathematics Proceedings 1 Research in the Mathematical Sciences all top 5 Fields 79 Number theory (11-XX) 5 Special functions (33-XX) 4 Algebraic geometry (14-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 1,196 times in 884 Documents Cited by ▼ Year ▼ Hyperbolic distribution problems and half-integral weight Maass forms. Zbl 0628.10029Duke, W. 114 1988 Density of integer points on affine homogeneous varieties. Zbl 0798.11024Duke, W.; Rudnick, Z.; Sarnak, P. 100 1993 Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids. Zbl 0692.10020Duke, William; Schulze-Pillot, Rainer 61 1990 Bounds for automorphic \(L\)-functions. Zbl 0765.11038Duke, W.; Friedlander, J.; Iwaniec, H. 59 1993 On the zeros and coefficients of certain weakly holomorphic modular forms. Zbl 1200.11027Duke, W.; Jenkins, Paul 57 2008 The subconvexity problem for Artin \(L\)-functions. Zbl 1056.11072Duke, W.; Friedlander, J. B.; Iwaniec, H. 55 2002 Cycle integrals of the \(j\)-function and mock modular forms. Zbl 1270.11044Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 45 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 1033.11026Duke, W.; Kowalski, E. 42 2000 Bounds for automorphic \(L\)-functions. II. Zbl 0812.11032Duke, W.; Friedlander, J. B.; Iwaniec, H. 42 1994 Equidistribution of roots of a quadratic congruence to prime moduli. Zbl 0840.11003Duke, W.; Friedlander, J. B.; Iwaniec, H. 35 1995 A quadratic divisor problem. Zbl 0791.11049Duke, W.; Friedlander, J. B.; Iwaniec, H. 33 1994 Bilinear forms with Kloosterman fractions. Zbl 0873.11050Duke, W.; Friedlander, J.; Iwaniec, H. 28 1997 The distribution of the eigenvalues of Hecke operators. Zbl 0876.11020Conrey, J. B.; Duke, W.; Farmer, D. W. 28 1997 The critical order of vanishing of automorphic \(L\)-functions with large level. Zbl 0838.11035Duke, W. 28 1995 Continued fractions and modular functions. Zbl 1109.11026Duke, W. 25 2005 Modular functions and the uniform distribution of CM points. Zbl 1091.11012Duke, W. 24 2006 Integral traces of singular values of weak Maass forms. Zbl 1215.11046Duke, William; Jenkins, Paul 23 2008 Elliptic curves with no exceptional primes. Zbl 1002.11049Duke, William 23 1997 A converse theorem and the Saito-Kurokawa lift. Zbl 0849.11039Duke, W.; Imamoḡlu, Özlem 19 1996 Class group \(L\)-functions. Zbl 0838.11058Duke, W.; Friedlander, J.; Iwaniec, H. 18 1995 Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes. Zbl 0671.10021Duke, W.; Iwaniec, H. 16 1990 When is the product of two Hecke eigenforms an eigenform? Zbl 0953.11017Duke, W. 14 1999 A relation between cubic exponential and Kloosterman sums. Zbl 0792.11029Duke, W.; Iwaniec, H. 14 1993 Estimating Hecke eigenvalues of Siegel modular forms. Zbl 0766.11026Duke, W.; Howe, R.; Li, J.-S. 14 1992 An estimate for the Hecke eigenvalues of Maass forms. Zbl 0760.11017Bump, Daniel; Duke, W.; Hoffstein, Jeffrey; Iwaniec, Henryk 14 1992 Real quadratic analogs of traces of singular moduli. Zbl 1270.11049Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 13 2011 Rational period functions and cycle integrals. Zbl 1269.11040Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 12 2010 The splitting of primes in division fields of elliptic curves. Zbl 1162.11348Duke, W.; Tóth, Á. 12 2002 Bounds for automorphic \(L\)-functions. III. Zbl 1163.11325Duke, W.; Friedlander, J. B.; Iwaniec, H. 11 2001 Quadratic reciprocity in a finite group. Zbl 1125.20003Duke, William; Hopkins, Kimberly 10 2005 The dimension of the space of cusp forms of weight one. Zbl 0843.11024Duke, W. 10 1995 Estimates for coefficients of L-functions. I. Zbl 0745.11030Duke, W.; Iwaniec, H. 10 1990 Harmonic Maass forms of weight 1. Zbl 1414.11057Duke, W.; Li, Y. 9 2015 Weyl sums for quadratic roots. Zbl 1300.11086Duke, W.; Friedlander, J. B.; Iwaniec, H. 9 2012 Almost all reductions modulo \(p\) of an elliptic curve have a large exponent. Zbl 1048.11045Duke, William 9 2003 On codes and Siegel modular forms. Zbl 0785.94008Duke, W. 9 1993 The graphic nature of Gaussian periods. Zbl 1329.11083Duke, William; Garcia, Stephan Ramon; Lutz, Bob 8 2015 Extreme values of Artin \(L\)-functions and class numbers. Zbl 1013.11072Duke, W. 8 2003 Siegel modular forms of small weight. Zbl 0892.11017Duke, W.; Imamoglu, Ö. 8 1998 Representations by the determinant and mean values of \(L\)-functions. Zbl 0927.11046Duke, W.; Friedlander, J.; Iwaniec, H. 8 1997 Bounds for arithmetic multiplicities. Zbl 0907.11015Duke, W. 7 1998 Some old problems and new results about quadratic forms. Zbl 0969.11002Duke, William 7 1997 Estimates for coefficients of \(L\)-functions. IV. Zbl 0820.11032Duke, W.; Iwaniec, H. 7 1994 Regularized inner products of modular functions. Zbl 1418.11069Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 6 2016 On ternary quadratic forms. Zbl 1155.11320Duke, W. 6 2005 Number fields with large class group. Zbl 1104.11050Duke, William 6 2004 Some problems in multidimensional analytic number theory. Zbl 0631.12008Duke, William D. 6 1989 Geometric invariants for real quadratic fields. Zbl 1372.11056Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 5 2016 Almost a century of answering the question: what is a mock theta function? Zbl 1338.11001Duke, W. 5 2014 Estimates for coefficients of \(L\)-functions. II. Zbl 0787.11020Duke, W.; Iwaniec, H. 5 1992 Kronecker’s first limit formula, revisited. Zbl 1441.11085Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 4 2018 Fourier series of modular graph functions. Zbl 1444.11180D’Hoker, Eric; Duke, William 4 2018 Infinite products of cyclotomic polynomials. Zbl 1320.11087Duke, William; Nguyen, Ha Nam 4 2015 The zeros of the Weierstrass \(\wp\)-function and hypergeometric series. Zbl 1222.33017Duke, W.; Imamoḡlu, Özlem 4 2008 An introduction to the Linnik problems. Zbl 1177.11034Duke, W. 4 2007 On a formula of Bloch. Zbl 1213.11141Duke, William; Imamoḡlu, Özlem 4 2007 Reductions of an elliptic curve and their Tate-Shafarevich groups. Zbl 1062.11039Cojocaru, A. C.; Duke, W. 4 2004 Rational points on the sphere. Zbl 1156.11316Duke, W. 4 2003 Modular cocycles and linking numbers. Zbl 1408.57005Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 3 2017 Estimates for coefficients of \(L\)-functions. III. Zbl 0763.11024Duke, W.; Iwaniec, H. 3 1992 On multiple Salié sums. Zbl 0758.11050Duke, W. 3 1992 Fourth moments of \(L\)-functions attached to newforms. Zbl 0659.10025Duke, William D. 3 1988 Some entries in Ramanujan’s notebooks. Zbl 1230.33009Duke, W. 2 2008 A combinatorial problem related to Mahler’s measure. Zbl 1126.05012Duke, W. 2 2007 Special values of multiple gamma functions. Zbl 1169.11316Duke, William; Imamoḡlu, Özlem 2 2006 Convolution \(L\)-series. Zbl 0820.11033Duke, W.; Iwaniec, H. 2 1994 On a theorem of Davenport and Schmidt. Zbl 07324326Andersen, Nickolas; Duke, William 1 2021 Markov spectra for modular billiards. Zbl 1433.37027Andersen, Nickolas; Duke, William 1 2019 Lattice points in cones and Dirichlet series. Zbl 1079.11053Duke, W.; Imamoḡlu, Ö. 1 2004 Erratum: “Bounds for automorphic \(L\)-functions. II”. Zbl 1056.11504Duke, W.; Friedlander, J.; Iwaniec, H. 1 2000 Properties of a quadratic Fibonacci recurrence. Zbl 1044.11539Duke, W.; Greenfield, Stephen J.; Speer, Eugene R. 1 1998 Probabilistic Galois theory of reciprocal polynomials. Zbl 0916.11056Davis, S.; Duke, W.; Sun, X. 1 1998 Lattice points on ellipsoids. Zbl 0714.11026Duke, W. 1 1988 On a theorem of Davenport and Schmidt. Zbl 07324326Andersen, Nickolas; Duke, William 1 2021 Markov spectra for modular billiards. Zbl 1433.37027Andersen, Nickolas; Duke, William 1 2019 Kronecker’s first limit formula, revisited. Zbl 1441.11085Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 4 2018 Fourier series of modular graph functions. Zbl 1444.11180D’Hoker, Eric; Duke, William 4 2018 Modular cocycles and linking numbers. Zbl 1408.57005Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 3 2017 Regularized inner products of modular functions. Zbl 1418.11069Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 6 2016 Geometric invariants for real quadratic fields. Zbl 1372.11056Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 5 2016 Harmonic Maass forms of weight 1. Zbl 1414.11057Duke, W.; Li, Y. 9 2015 The graphic nature of Gaussian periods. Zbl 1329.11083Duke, William; Garcia, Stephan Ramon; Lutz, Bob 8 2015 Infinite products of cyclotomic polynomials. Zbl 1320.11087Duke, William; Nguyen, Ha Nam 4 2015 Almost a century of answering the question: what is a mock theta function? Zbl 1338.11001Duke, W. 5 2014 Weyl sums for quadratic roots. Zbl 1300.11086Duke, W.; Friedlander, J. B.; Iwaniec, H. 9 2012 Cycle integrals of the \(j\)-function and mock modular forms. Zbl 1270.11044Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 45 2011 Real quadratic analogs of traces of singular moduli. Zbl 1270.11049Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 13 2011 Rational period functions and cycle integrals. Zbl 1269.11040Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 12 2010 On the zeros and coefficients of certain weakly holomorphic modular forms. Zbl 1200.11027Duke, W.; Jenkins, Paul 57 2008 Integral traces of singular values of weak Maass forms. Zbl 1215.11046Duke, William; Jenkins, Paul 23 2008 The zeros of the Weierstrass \(\wp\)-function and hypergeometric series. Zbl 1222.33017Duke, W.; Imamoḡlu, Özlem 4 2008 Some entries in Ramanujan’s notebooks. Zbl 1230.33009Duke, W. 2 2008 An introduction to the Linnik problems. Zbl 1177.11034Duke, W. 4 2007 On a formula of Bloch. Zbl 1213.11141Duke, William; Imamoḡlu, Özlem 4 2007 A combinatorial problem related to Mahler’s measure. Zbl 1126.05012Duke, W. 2 2007 Modular functions and the uniform distribution of CM points. Zbl 1091.11012Duke, W. 24 2006 Special values of multiple gamma functions. Zbl 1169.11316Duke, William; Imamoḡlu, Özlem 2 2006 Continued fractions and modular functions. Zbl 1109.11026Duke, W. 25 2005 Quadratic reciprocity in a finite group. Zbl 1125.20003Duke, William; Hopkins, Kimberly 10 2005 On ternary quadratic forms. Zbl 1155.11320Duke, W. 6 2005 Number fields with large class group. Zbl 1104.11050Duke, William 6 2004 Reductions of an elliptic curve and their Tate-Shafarevich groups. Zbl 1062.11039Cojocaru, A. C.; Duke, W. 4 2004 Lattice points in cones and Dirichlet series. Zbl 1079.11053Duke, W.; Imamoḡlu, Ö. 1 2004 Almost all reductions modulo \(p\) of an elliptic curve have a large exponent. Zbl 1048.11045Duke, William 9 2003 Extreme values of Artin \(L\)-functions and class numbers. Zbl 1013.11072Duke, W. 8 2003 Rational points on the sphere. Zbl 1156.11316Duke, W. 4 2003 The subconvexity problem for Artin \(L\)-functions. Zbl 1056.11072Duke, W.; Friedlander, J. B.; Iwaniec, H. 55 2002 The splitting of primes in division fields of elliptic curves. Zbl 1162.11348Duke, W.; Tóth, Á. 12 2002 Bounds for automorphic \(L\)-functions. III. Zbl 1163.11325Duke, W.; Friedlander, J. B.; Iwaniec, H. 11 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 1033.11026Duke, W.; Kowalski, E. 42 2000 Erratum: “Bounds for automorphic \(L\)-functions. II”. Zbl 1056.11504Duke, W.; Friedlander, J.; Iwaniec, H. 1 2000 When is the product of two Hecke eigenforms an eigenform? Zbl 0953.11017Duke, W. 14 1999 Siegel modular forms of small weight. Zbl 0892.11017Duke, W.; Imamoglu, Ö. 8 1998 Bounds for arithmetic multiplicities. Zbl 0907.11015Duke, W. 7 1998 Properties of a quadratic Fibonacci recurrence. Zbl 1044.11539Duke, W.; Greenfield, Stephen J.; Speer, Eugene R. 1 1998 Probabilistic Galois theory of reciprocal polynomials. Zbl 0916.11056Davis, S.; Duke, W.; Sun, X. 1 1998 Bilinear forms with Kloosterman fractions. Zbl 0873.11050Duke, W.; Friedlander, J.; Iwaniec, H. 28 1997 The distribution of the eigenvalues of Hecke operators. Zbl 0876.11020Conrey, J. B.; Duke, W.; Farmer, D. W. 28 1997 Elliptic curves with no exceptional primes. Zbl 1002.11049Duke, William 23 1997 Representations by the determinant and mean values of \(L\)-functions. Zbl 0927.11046Duke, W.; Friedlander, J.; Iwaniec, H. 8 1997 Some old problems and new results about quadratic forms. Zbl 0969.11002Duke, William 7 1997 A converse theorem and the Saito-Kurokawa lift. Zbl 0849.11039Duke, W.; Imamoḡlu, Özlem 19 1996 Equidistribution of roots of a quadratic congruence to prime moduli. Zbl 0840.11003Duke, W.; Friedlander, J. B.; Iwaniec, H. 35 1995 The critical order of vanishing of automorphic \(L\)-functions with large level. Zbl 0838.11035Duke, W. 28 1995 Class group \(L\)-functions. Zbl 0838.11058Duke, W.; Friedlander, J.; Iwaniec, H. 18 1995 The dimension of the space of cusp forms of weight one. Zbl 0843.11024Duke, W. 10 1995 Bounds for automorphic \(L\)-functions. II. Zbl 0812.11032Duke, W.; Friedlander, J. B.; Iwaniec, H. 42 1994 A quadratic divisor problem. Zbl 0791.11049Duke, W.; Friedlander, J. B.; Iwaniec, H. 33 1994 Estimates for coefficients of \(L\)-functions. IV. Zbl 0820.11032Duke, W.; Iwaniec, H. 7 1994 Convolution \(L\)-series. Zbl 0820.11033Duke, W.; Iwaniec, H. 2 1994 Density of integer points on affine homogeneous varieties. Zbl 0798.11024Duke, W.; Rudnick, Z.; Sarnak, P. 100 1993 Bounds for automorphic \(L\)-functions. Zbl 0765.11038Duke, W.; Friedlander, J.; Iwaniec, H. 59 1993 A relation between cubic exponential and Kloosterman sums. Zbl 0792.11029Duke, W.; Iwaniec, H. 14 1993 On codes and Siegel modular forms. Zbl 0785.94008Duke, W. 9 1993 Estimating Hecke eigenvalues of Siegel modular forms. Zbl 0766.11026Duke, W.; Howe, R.; Li, J.-S. 14 1992 An estimate for the Hecke eigenvalues of Maass forms. Zbl 0760.11017Bump, Daniel; Duke, W.; Hoffstein, Jeffrey; Iwaniec, Henryk 14 1992 Estimates for coefficients of \(L\)-functions. II. Zbl 0787.11020Duke, W.; Iwaniec, H. 5 1992 Estimates for coefficients of \(L\)-functions. III. Zbl 0763.11024Duke, W.; Iwaniec, H. 3 1992 On multiple Salié sums. Zbl 0758.11050Duke, W. 3 1992 Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids. Zbl 0692.10020Duke, William; Schulze-Pillot, Rainer 61 1990 Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes. Zbl 0671.10021Duke, W.; Iwaniec, H. 16 1990 Estimates for coefficients of L-functions. I. Zbl 0745.11030Duke, W.; Iwaniec, H. 10 1990 Some problems in multidimensional analytic number theory. Zbl 0631.12008Duke, William D. 6 1989 Hyperbolic distribution problems and half-integral weight Maass forms. Zbl 0628.10029Duke, W. 114 1988 Fourth moments of \(L\)-functions attached to newforms. Zbl 0659.10025Duke, William D. 3 1988 Lattice points on ellipsoids. Zbl 0714.11026Duke, W. 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 787 Authors 20 Blomer, Valentin 18 Duke, William Drexel 18 Michel, Philippe Gabriel 16 Kane, Ben 16 Kim, Chang Heon 15 Choi, Soyoung 15 Sarnak, Peter Clive 15 Young, Matthew P. 14 Shparlinski, Igor E. 12 Iwaniec, Henryk 12 Kowalski, Emmanuel 11 Masri, Riad 11 Oh, Hee 11 Templier, Nicolas 10 Bringmann, Kathrin 10 Gorodnik, Alexander 9 Fomenko, Oleg Mstislavovich 9 Fouvry, Etienne 9 Venkatesh, Akshay 8 Einsiedler, Manfred Leopold 8 Imamoḡlu, Özlem 8 Kim, Henry H. 8 Lau, Yuk-Kam 8 Lu, Guangshi 8 Munshi, Ritabrata 8 Shah, Nimish A. 8 Tóth, Árpád 8 Wu, Jie 7 Browning, Timothy Daniel 7 Friedlander, John Benjamin 7 Jenkins, Paul M. 7 Kang, Soon-Yi 7 Kohnen, Winfried 7 Kontorovich, Alex V. 7 Mizuno, Yoshinori 7 Zhang, Wenpeng 6 Andersen, Nickolas 6 Bruinier, Jan Hendrik 6 Cho, Peter Jaehyun 6 Cooper, Shaun 6 Folsom, Amanda 6 Garcia, Stephan Ramon 6 Harcos, Gergely 6 Jeon, Daeyeol 6 Khan, Rizwanur 6 Liu, Sheng-Chi 6 Luo, Wenzhi 6 Ono, Ken 6 Oura, Manabu 6 Wang, Yingnan 6 Yang, Tonghai 6 Zaharescu, Alexandru 5 Bourgain, Jean 5 Buttcane, Jack 5 Choi, Dohoon 5 Choie, YoungJu 5 Griffin, Michael J. 5 Huang, Bingrong 5 Im, Bo-Hae 5 Jenkins, Paul A. 5 Li, Yingkun 5 Murty, Maruti Ram 5 Nevo, Amos 5 Pollack, Paul 5 Pratt, Kyle 5 Rudnick, Zeév 5 Zhang, Yichao 4 Alfes-Neumann, Claudia 4 Balkanova, Ol’ga Germanovna 4 Bannai, Eiichi 4 Bykovskiĭ, Viktor Alekseevich 4 Conrey, John Brian 4 Ganguly, Satadal 4 Guerzhoy, Pavel I. 4 Gun, Sanoli 4 Haensch, Anna 4 Humphries, Peter J. 4 Jiang, Yujiao 4 Katznelson, Yonatan R. 4 Keating, Jonathan P. 4 Knightly, Andrew H. 4 Lim, Subong 4 Luca, Florian 4 Nelson, Paul D. 4 Park, Yoon Kyung 4 Poonen, Bjorn 4 Richard, Rodolphe 4 Schulze-Pillot, Rainer 4 Shin, Sug Woo 4 Wu, Hai-Liang 4 Xi, Ping 4 Ye, Yangbo 3 Ahlgren, Scott D. 3 Bengoechea, Paloma 3 Bettin, Sandro 3 Beyerl, Jeffrey J. 3 Bhargava, Manjul 3 Brumley, Farrell 3 Chan, Wai Kiu 3 Chandee, Vorrapan ...and 687 more Authors all top 5 Cited in 141 Serials 124 Journal of Number Theory 54 Duke Mathematical Journal 42 The Ramanujan Journal 37 International Journal of Number Theory 32 Proceedings of the American Mathematical Society 30 Mathematische Annalen 26 Inventiones Mathematicae 23 Compositio Mathematica 19 Israel Journal of Mathematics 19 Advances in Mathematics 18 Mathematische Zeitschrift 18 Forum Mathematicum 17 Journal für die Reine und Angewandte Mathematik 17 Transactions of the American Mathematical Society 17 Journal de Théorie des Nombres de Bordeaux 14 Acta Arithmetica 14 Journal of Mathematical Sciences (New York) 14 Research in Number Theory 13 Research in the Mathematical Sciences 12 Geometric and Functional Analysis. GAFA 11 Annales de l’Institut Fourier 11 Annals of Mathematics. Second Series 10 Bulletin of the American Mathematical Society. New Series 10 Journal of the European Mathematical Society (JEMS) 8 Journal of Mathematical Analysis and Applications 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 8 Archiv der Mathematik 8 Monatshefte für Mathematik 7 Mathematics of Computation 7 Journal of the American Mathematical Society 7 Algebra & Number Theory 6 Bulletin of the Australian Mathematical Society 6 Ergodic Theory and Dynamical Systems 5 Lithuanian Mathematical Journal 5 Functiones et Approximatio. Commentarii Mathematici 5 Publications Mathématiques 5 Mathematika 5 Nagoya Mathematical Journal 5 Experimental Mathematics 5 Finite Fields and their Applications 4 Communications in Mathematical Physics 4 Journal of Functional Analysis 4 Journal of the London Mathematical Society. Second Series 4 Proceedings of the Japan Academy. Series A 4 Indagationes Mathematicae. New Series 4 Integers 4 Journal of the Australian Mathematical Society 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Open Mathematics 3 Geometriae Dedicata 3 Manuscripta Mathematica 3 Results in Mathematics 3 Acta Mathematica Hungarica 3 Acta Mathematica Sinica. English Series 3 Chebyshevskiĭ Sbornik 3 Japanese Journal of Mathematics. 3rd Series 3 Forum of Mathematics, Sigma 2 Discrete Mathematics 2 Rocky Mountain Journal of Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Commentarii Mathematici Helvetici 2 Glasgow Mathematical Journal 2 Memoirs of the American Mathematical Society 2 Osaka Journal of Mathematics 2 Pacific Journal of Mathematics 2 Revista Matemática Iberoamericana 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of High Energy Physics 2 Annales Henri Poincaré 2 Journal of the Institute of Mathematics of Jussieu 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Modern Dynamics 2 Science China. Mathematics 2 Forum of Mathematics, Pi 2 Proceedings of the American Mathematical Society. Series B 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Physics Letters. B 1 Russian Mathematical Surveys 1 Transport Theory and Statistical Physics 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Journal of Soviet Mathematics 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II ...and 41 more Serials all top 5 Cited in 43 Fields 816 Number theory (11-XX) 73 Algebraic geometry (14-XX) 65 Topological groups, Lie groups (22-XX) 53 Dynamical systems and ergodic theory (37-XX) 25 Group theory and generalizations (20-XX) 23 Special functions (33-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 Combinatorics (05-XX) 12 Functions of a complex variable (30-XX) 12 Probability theory and stochastic processes (60-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Abstract harmonic analysis (43-XX) 11 Information and communication theory, circuits (94-XX) 9 Quantum theory (81-XX) 8 Partial differential equations (35-XX) 8 Convex and discrete geometry (52-XX) 6 Differential geometry (53-XX) 5 Measure and integration (28-XX) 4 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 4 Manifolds and cell complexes (57-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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