Edit Profile (opens in new tab) Bhargava, Manjul Co-Author Distance Author ID: bhargava.manjul Published as: Bhargava, Manjul; Bhargava, M. Homepage: https://www.math.princeton.edu/directory/manjul-bhargava External Links: MGP · Wikidata · dblp · GND · IdRef Awards: Clay Research Award (2005) · Fields Medal (2014) Documents Indexed: 73 Publications since 1997, including 19 Additional arXiv Preprints 2 Contributions as Editor · 3 Further Contributions Biographic References: 7 Publications Co-Authors: 50 Co-Authors with 52 Joint Publications 1,387 Co-Co-Authors all top 5 Co-Authors 23 single-authored 11 Shankar, Arul 7 Wang, Xiaoheng 6 Shnidman, Ari 5 Cremona, John E. 5 Fisher, Tom A. 5 Gross, Benedict Hyman 3 Alpoge, Levent 3 Ho, Wei 2 Klagsbrun, Zev 2 Lemke Oliver, Robert J. 2 Poonen, Bjorn 2 Skinner, Christopher M. 2 Swaminathan, Ashvin Anand 2 Taniguchi, Takashi 2 Thorne, Frank 2 Tiep Pham Huu 2 Tsimerman, Jacob 2 Varma, Ila 1 Akhtari, Shabnam 1 Alladi, Krishnaswami 1 Beineke, Jennifer E. 1 Belabas, Karim 1 Borcherds, Richard Ewen 1 Cahen, Paul-Jean 1 Curtis, Robert T. 1 Elkies, Noam David 1 Evertse, Jan-Hendrik 1 Gajović, Stevan 1 Ghate, Eknath P. 1 Gilman, Jane P. 1 Guralnick, Robert Michael 1 Győry, Kálmán 1 Hanke, Jonathan P. 1 Harron, Piper 1 Hiss, Gerhard 1 Jones, Nick G. 1 Kane, Daniel M. 1 Kauffman, Louis Hirsch 1 Keating, Jonathan Peter 1 Kedlaya, Kiran Sridhara 1 Kumar, Abhinav 1 Lenstra, Hendrik W. jun. 1 Lux, Klaus Martin 1 Persson, Ulf A. 1 Pomerance, Carl Bernard 1 Rains, Eric M. 1 Remete, László 1 Rosenhouse, Jason 1 Ryba, Alexander J. E. 1 Satriano, Matthew 1 Savitt, David 1 Schleicher, Dierk 1 Shnidman, Ariel 1 Siegel, Aaron Nathan 1 Wood, Melanie Matchett 1 Yang, Andrew 1 Yeramian, Julie 1 Zhang, Wei 1 Zhao, Yongqiang 1 Zieve, Michael E. all top 5 Serials 8 Annals of Mathematics. Second Series 3 Duke Mathematical Journal 3 Journal of the American Mathematical Society 2 Acta Arithmetica 2 Inventiones Mathematicae 2 Proceedings of the London Mathematical Society. Third Series 2 IMRN. International Mathematics Research Notices 2 International Journal of Number Theory 2 Algebra & Number Theory 2 Forum of Mathematics, Sigma 2 Cambridge Journal of Mathematics 1 American Mathematical Monthly 1 Discrete Mathematics 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae Debrecen 1 Journal of the Ramanujan Mathematical Society 1 Notices of the American Mathematical Society 1 Journal of Algebraic Geometry 1 Finite Fields and their Applications 1 European Mathematical Society Newsletter 1 Journal of the European Mathematical Society (JEMS) 1 Pure and Applied Mathematics Quarterly 1 Contemporary Mathematics 1 Developments in Mathematics all top 5 Fields 68 Number theory (11-XX) 14 Algebraic geometry (14-XX) 6 Commutative algebra (13-XX) 4 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Probability theory and stochastic processes (60-XX) 1 Special functions (33-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 1,110 times in 579 Documents Cited by ▼ Year ▼ The density of discriminants of quartic rings and fields. Zbl 1159.11045 Bhargava, Manjul 87 2005 \(P\)-orderings and polynomial functions on arbitrary subsets of Dedekind rings. Zbl 0899.13022 Bhargava, Manjul 73 1997 The density of discriminants of quintic rings and fields. Zbl 1220.11139 Bhargava, Manjul 67 2010 On the Conway-Schneeberger Fifteen Theorem. Zbl 0987.11027 Bhargava, Manjul 66 2000 Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves. Zbl 1307.11071 Bhargava, Manjul; Shankar, Arul 63 2015 The factorial function and generalizations. Zbl 0987.05003 Bhargava, Manjul 53 2000 Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations. Zbl 1072.11078 Bhargava, Manjul 45 2004 Higher composition laws. III: The parametrization of quartic rings. Zbl 1169.11045 Bhargava, Manjul 44 2004 On the Davenport-Heilbronn theorems and second order terms. Zbl 1294.11191 Bhargava, Manjul; Shankar, Arul; Tsimerman, Jacob 42 2013 Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0. Zbl 1317.11038 Bhargava, Manjul; Shankar, Arul 38 2015 Mass formulae for extensions of local fields, and conjectures on the density of number field discriminants. Zbl 1145.11080 Bhargava, Manjul 35 2007 Higher composition laws. II: On cubic analogues of Gauss composition. Zbl 1169.11044 Bhargava, Manjul 32 2004 Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. Zbl 1456.11101 Bhargava, M.; Shankar, A.; Taniguchi, T.; Thorne, F.; Tsimerman, J.; Zhao, Y. 27 2020 Higher composition laws. IV: The parametrization of quintic rings. Zbl 1173.11058 Bhargava, Manjul 26 2008 Generalized factorials and fixed divisors over subsets of a Dedekind domain. Zbl 0931.13004 Bhargava, Manjul 26 1998 The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point. Zbl 1303.11072 Bhargava, Manjul; Gross, Benedict H. 26 2013 Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071 Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric 25 2015 Factoring Dickson polynomials over finite fields. Zbl 0929.11060 Bhargava, Manjul; Zieve, Michael E. 21 1999 The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields. Zbl 1347.11074 Bhargava, Manjul; Harron, Piper 21 2016 Squarefree values of polynomial discriminants. I. Zbl 1492.11150 Bhargava, Manjul; Shankar, Arul; Wang, Xiaoheng 20 2022 On \(P\)-orderings, rings of integer-valued polynomials, and ultrametric analysis. Zbl 1219.11047 Bhargava, Manjul 19 2009 Coregular spaces and genus one curves. Zbl 1342.14074 Bhargava, Manjul; Ho, Wei 18 2016 Error estimates for the Davenport-Heilbronn theorems. Zbl 1227.11114 Belabas, Karim; Bhargava, Manjul; Pomerance, Carl 17 2010 A positive proportion of locally soluble hyperelliptic curves over \(\mathbb {Q}\) have no point over any odd degree extension. Zbl 1385.11043 Bhargava, Manjul; Gross, Benedict H.; Wang, Xiaoheng 17 2017 Arithmetic invariant theory. Zbl 1377.11045 Bhargava, Manjul; Gross, Benedict H. 16 2014 The density of discriminants of \(S_3\)-sextic number fields. Zbl 1171.11058 Bhargava, Manjul; Wood, Melanie Matchett 15 2008 On the number of cubic orders of bounded discriminant having automorphism group \(C_3\), and related problems. Zbl 1298.11102 Bhargava, Manjul; Shnidman, Ariel 14 2014 Higher composition laws and applications. Zbl 1129.11049 Bhargava, Manjul 12 2006 Finite generation properties for various rings of integer-valued polynomials. Zbl 1177.13051 Bhargava, Manjul; Cahen, Paul-Jean; Yeramian, Julie 11 2009 On the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields. Zbl 1335.11093 Bhargava, Manjul; Varma, Ila 10 2015 The proportion of plane cubic curves over \(\mathbb{Q}\) that everywhere locally have a point. Zbl 1341.11033 Bhargava, Manjul; Cremona, John; Fisher, Tom 10 2016 Arithmetic invariant theory II: pure inner forms and obstructions to the existence of orbits. Zbl 1377.11046 Bhargava, Manjul; Gross, Benedict H.; Wang, Xiaoheng 10 2015 Continuous functions on compact subsets of local fields. Zbl 0979.11054 Bhargava, Manjul; Kedlaya, Kiran S. 9 1999 The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders. Zbl 1407.11126 Bhargava, Manjul; Varma, Ila 9 2016 \(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field. Zbl 1442.14084 Bhargava, Manjul; Klagsbrun, Zev; Oliver, Robert J. Lemke; Shnidman, Ari 9 2019 The average size of the 3-isogeny Selmer groups of elliptic curves \(y^2 = x^3 + k\). Zbl 1458.11091 Bhargava, Manjul; Elkies, Noam; Shnidman, Ari 9 2020 A positive proportion of elliptic curves over \(\mathbb Q\) have rank one. Zbl 1315.11045 Bhargava, Manjul; Skinner, Christopher 8 2014 On a notion of “Galois closure” for extensions of rings. Zbl 1396.13007 Bhargava, Manjul; Satriano, Matthew 8 2014 What is the probability that a random integral quadratic form in \(n\) variables has an integral zero? Zbl 1404.11035 Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P. 8 2016 Finite simple groups: thirty years of the atlas and beyond. International conference celebrating the atlases and honoring John Conway, Princeton University, Princeton, NJ, USA, November 2–5, 2015. Zbl 1372.20002 7 2017 A positive proportion of Thue equations fail the integral Hasse principle. Zbl 1450.11026 Akhtari, Shabnam; Bhargava, Manjul 7 2019 Congruence preservation and polynomial functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_m\). Zbl 0883.11011 Bhargava, Manjul 6 1997 Orbit parametrizations for \(K3\) surfaces. Zbl 1346.14099 Bhargava, Manjul; Ho, Wei; Kumar, Abhinav 5 2016 On the average number of octahedral newforms of prime level. Zbl 1206.11049 Bhargava, Manjul; Ghate, Eknath 4 2009 Elements of given order in Tate-Shafarevich groups of abelian varieties in quadratic twist families. Zbl 1478.11082 Bhargava, Manjul; Klagsbrun, Zev; Lemke Oliver, Robert J.; Shnidman, Ari 4 2021 Gauss composition and generalizations. Zbl 1058.11030 Bhargava, Manjul 2 2002 On the number of monogenizations of a quartic order (with an appendix by Shabnam Akhtari). Zbl 1499.11328 Bhargava, Manjul 2 2022 The proportion of genus one curves over \(\mathbb{Q}\) defined by a binary quartic that everywhere locally have a point. Zbl 1484.11133 Bhargava, Manjul; Cremona, John; Fisher, Tom 2 2021 Rational points on elliptic and hyperelliptic curves. Zbl 1373.11045 Bhargava, Manjul 1 2014 Hermite equivalence of polynomials. Zbl 07768658 Bhargava, Manjul; Evertse, Jan-Hendrik; Győry, Kálmán; Remete, László; Swaminathan, Ashvin A. 1 2023 The density of polynomials of degree \(n\) over \({\mathbb{Z}}_p\) having exactly \(r\) roots in \({\mathbb{Q}}_p\). Zbl 07740389 Bhargava, Manjul; Cremona, John; Fisher, Tom; Gajović, Stevan 1 2022 An improvement on Schmidt’s bound on the number of number fields of bounded discriminant and small degree. Zbl 1514.11067 Bhargava, Manjul; Shankar, Arul; Wang, Xiaoheng 1 2022 A proof of van der Waerden’s conjecture on random Galois groups of polynomials. Zbl 1518.11079 Bhargava, Manjul 1 2023 The mathematics of various entertaining subjects. Volume 3. The magic of mathematics. With a foreword by Manjul Bhargava. Zbl 1446.00004 1 2019 Hermite equivalence of polynomials. Zbl 07768658 Bhargava, Manjul; Evertse, Jan-Hendrik; Győry, Kálmán; Remete, László; Swaminathan, Ashvin A. 1 2023 A proof of van der Waerden’s conjecture on random Galois groups of polynomials. Zbl 1518.11079 Bhargava, Manjul 1 2023 Squarefree values of polynomial discriminants. I. Zbl 1492.11150 Bhargava, Manjul; Shankar, Arul; Wang, Xiaoheng 20 2022 On the number of monogenizations of a quartic order (with an appendix by Shabnam Akhtari). Zbl 1499.11328 Bhargava, Manjul 2 2022 The density of polynomials of degree \(n\) over \({\mathbb{Z}}_p\) having exactly \(r\) roots in \({\mathbb{Q}}_p\). Zbl 07740389 Bhargava, Manjul; Cremona, John; Fisher, Tom; Gajović, Stevan 1 2022 An improvement on Schmidt’s bound on the number of number fields of bounded discriminant and small degree. Zbl 1514.11067 Bhargava, Manjul; Shankar, Arul; Wang, Xiaoheng 1 2022 Elements of given order in Tate-Shafarevich groups of abelian varieties in quadratic twist families. Zbl 1478.11082 Bhargava, Manjul; Klagsbrun, Zev; Lemke Oliver, Robert J.; Shnidman, Ari 4 2021 The proportion of genus one curves over \(\mathbb{Q}\) defined by a binary quartic that everywhere locally have a point. Zbl 1484.11133 Bhargava, Manjul; Cremona, John; Fisher, Tom 2 2021 Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. Zbl 1456.11101 Bhargava, M.; Shankar, A.; Taniguchi, T.; Thorne, F.; Tsimerman, J.; Zhao, Y. 27 2020 The average size of the 3-isogeny Selmer groups of elliptic curves \(y^2 = x^3 + k\). Zbl 1458.11091 Bhargava, Manjul; Elkies, Noam; Shnidman, Ari 9 2020 \(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field. Zbl 1442.14084 Bhargava, Manjul; Klagsbrun, Zev; Oliver, Robert J. Lemke; Shnidman, Ari 9 2019 A positive proportion of Thue equations fail the integral Hasse principle. Zbl 1450.11026 Akhtari, Shabnam; Bhargava, Manjul 7 2019 The mathematics of various entertaining subjects. Volume 3. The magic of mathematics. With a foreword by Manjul Bhargava. Zbl 1446.00004 1 2019 A positive proportion of locally soluble hyperelliptic curves over \(\mathbb {Q}\) have no point over any odd degree extension. Zbl 1385.11043 Bhargava, Manjul; Gross, Benedict H.; Wang, Xiaoheng 17 2017 Finite simple groups: thirty years of the atlas and beyond. International conference celebrating the atlases and honoring John Conway, Princeton University, Princeton, NJ, USA, November 2–5, 2015. Zbl 1372.20002 7 2017 The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields. Zbl 1347.11074 Bhargava, Manjul; Harron, Piper 21 2016 Coregular spaces and genus one curves. Zbl 1342.14074 Bhargava, Manjul; Ho, Wei 18 2016 The proportion of plane cubic curves over \(\mathbb{Q}\) that everywhere locally have a point. Zbl 1341.11033 Bhargava, Manjul; Cremona, John; Fisher, Tom 10 2016 The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders. Zbl 1407.11126 Bhargava, Manjul; Varma, Ila 9 2016 What is the probability that a random integral quadratic form in \(n\) variables has an integral zero? Zbl 1404.11035 Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P. 8 2016 Orbit parametrizations for \(K3\) surfaces. Zbl 1346.14099 Bhargava, Manjul; Ho, Wei; Kumar, Abhinav 5 2016 Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves. Zbl 1307.11071 Bhargava, Manjul; Shankar, Arul 63 2015 Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0. Zbl 1317.11038 Bhargava, Manjul; Shankar, Arul 38 2015 Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071 Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric 25 2015 On the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields. Zbl 1335.11093 Bhargava, Manjul; Varma, Ila 10 2015 Arithmetic invariant theory II: pure inner forms and obstructions to the existence of orbits. Zbl 1377.11046 Bhargava, Manjul; Gross, Benedict H.; Wang, Xiaoheng 10 2015 Arithmetic invariant theory. Zbl 1377.11045 Bhargava, Manjul; Gross, Benedict H. 16 2014 On the number of cubic orders of bounded discriminant having automorphism group \(C_3\), and related problems. Zbl 1298.11102 Bhargava, Manjul; Shnidman, Ariel 14 2014 A positive proportion of elliptic curves over \(\mathbb Q\) have rank one. Zbl 1315.11045 Bhargava, Manjul; Skinner, Christopher 8 2014 On a notion of “Galois closure” for extensions of rings. Zbl 1396.13007 Bhargava, Manjul; Satriano, Matthew 8 2014 Rational points on elliptic and hyperelliptic curves. Zbl 1373.11045 Bhargava, Manjul 1 2014 On the Davenport-Heilbronn theorems and second order terms. Zbl 1294.11191 Bhargava, Manjul; Shankar, Arul; Tsimerman, Jacob 42 2013 The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point. Zbl 1303.11072 Bhargava, Manjul; Gross, Benedict H. 26 2013 The density of discriminants of quintic rings and fields. Zbl 1220.11139 Bhargava, Manjul 67 2010 Error estimates for the Davenport-Heilbronn theorems. Zbl 1227.11114 Belabas, Karim; Bhargava, Manjul; Pomerance, Carl 17 2010 On \(P\)-orderings, rings of integer-valued polynomials, and ultrametric analysis. Zbl 1219.11047 Bhargava, Manjul 19 2009 Finite generation properties for various rings of integer-valued polynomials. Zbl 1177.13051 Bhargava, Manjul; Cahen, Paul-Jean; Yeramian, Julie 11 2009 On the average number of octahedral newforms of prime level. Zbl 1206.11049 Bhargava, Manjul; Ghate, Eknath 4 2009 Higher composition laws. IV: The parametrization of quintic rings. Zbl 1173.11058 Bhargava, Manjul 26 2008 The density of discriminants of \(S_3\)-sextic number fields. Zbl 1171.11058 Bhargava, Manjul; Wood, Melanie Matchett 15 2008 Mass formulae for extensions of local fields, and conjectures on the density of number field discriminants. Zbl 1145.11080 Bhargava, Manjul 35 2007 Higher composition laws and applications. Zbl 1129.11049 Bhargava, Manjul 12 2006 The density of discriminants of quartic rings and fields. Zbl 1159.11045 Bhargava, Manjul 87 2005 Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations. Zbl 1072.11078 Bhargava, Manjul 45 2004 Higher composition laws. III: The parametrization of quartic rings. Zbl 1169.11045 Bhargava, Manjul 44 2004 Higher composition laws. II: On cubic analogues of Gauss composition. Zbl 1169.11044 Bhargava, Manjul 32 2004 Gauss composition and generalizations. Zbl 1058.11030 Bhargava, Manjul 2 2002 On the Conway-Schneeberger Fifteen Theorem. Zbl 0987.11027 Bhargava, Manjul 66 2000 The factorial function and generalizations. Zbl 0987.05003 Bhargava, Manjul 53 2000 Factoring Dickson polynomials over finite fields. Zbl 0929.11060 Bhargava, Manjul; Zieve, Michael E. 21 1999 Continuous functions on compact subsets of local fields. Zbl 0979.11054 Bhargava, Manjul; Kedlaya, Kiran S. 9 1999 Generalized factorials and fixed divisors over subsets of a Dedekind domain. Zbl 0931.13004 Bhargava, Manjul 26 1998 \(P\)-orderings and polynomial functions on arbitrary subsets of Dedekind rings. Zbl 0899.13022 Bhargava, Manjul 73 1997 Congruence preservation and polynomial functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_m\). Zbl 0883.11011 Bhargava, Manjul 6 1997 all cited Publications top 5 cited Publications all top 5 Cited by 645 Authors 27 Bhargava, Manjul 21 Chabert, Jean-Luc 15 Oh, Byeong-Kweon 12 Adam, David 12 Shankar, Arul 12 Thorne, Frank 12 Wood, Melanie Matchett 9 Cahen, Paul-Jean 9 Fisher, Tom A. 8 Johnson, Keith Peter 8 Ju, Jangwon 8 Lemke Oliver, Robert J. 8 Mantilla-Soler, Guillermo 7 Cho, Peter Jaehyun 7 Cohen, Henri 7 Poonen, Bjorn 7 Wang, Xiaoheng 6 Kala, Vítězslav 6 Kim, Daejun 6 Kim, Henry H. 6 Shnidman, Ari 6 Xiao, Stanley Yao 5 Creutz, Brendan 5 Fares, Youssef 5 Gross, Benedict Hyman 5 Ho, Wei 5 Kane, Ben 5 Kaplan, Nathan 5 Kim, Mingyu 5 Sha, Min 5 Taniguchi, Takashi 5 Tsimerman, Jacob 5 Widmer, Martin 5 Yasuda, Takehiko 4 Alberts, Brandon 4 Belabas, Karim 4 Ellenberg, Jordan Stuart 4 Evrard, Sabine 4 Ishitsuka, Yasuhiro 4 Ji, Yun-Seong 4 Kim, Kyoungmin 4 Klagsbrun, Zev 4 Lagarias, Jeffrey C. 4 Li, Xiumei 4 O’Dorney, Evan M. 4 Peruginelli, Giulio 4 Rains, Eric M. 4 Satriano, Matthew 4 Thakur, Dinesh S. 4 Thorne, Jack 4 Varma, Ila 4 Voight, John Michael 4 Wang, Jiuya 3 Akhtari, Shabnam 3 Barquero-Sanchez, Adrian 3 Biesel, Owen 3 Boulanger, Jacques 3 Browning, Timothy Daniel 3 Burungale, Ashay A. 3 Chaichana, Tuangrat 3 Cremona, John E. 3 Delaunay, Christophe 3 Diaz y Diaz, Francisco 3 Dokchitser, Vladimir 3 Earnest, Andrew G. 3 Frei, Christopher 3 Frisch, Sophie 3 Gillibert, Jean 3 Harron, Robert 3 Hough, Robert D. 3 Jung, Ho Yun 3 Kim, Byeong Moon 3 Kim, Ji Young 3 Kim, Myung-Hwan 3 Klüners, Jürgen 3 König, Joachim 3 Koo, Jakyung 3 Koymans, Peter 3 Kundu, Debanjana 3 Landesman, Aaron 3 Laohakosol, Vichian 3 Lee, Jungin 3 Loughran, Daniel 3 Malle, Gunter 3 Meesa, Rattiya 3 Olivier, Michel 3 Pagano, Carlo 3 Pierce, Lillian B. 3 Prasad, Devendra 3 Ray, Anwesh 3 Rouse, Jeremy A. 3 Shi, Minjia 3 Shin, Dong Hwa 3 Skinner, Christopher M. 3 Stoll, Michael 3 Wang, Qiang (Steven) 3 Werner, Nicholas J. 3 Williams, Kenneth S. 3 Yeramian, Julie 3 Yucas, Joseph L. ...and 545 more Authors all top 5 Cited in 136 Serials 60 Journal of Number Theory 25 International Journal of Number Theory 20 Journal of Algebra 18 Finite Fields and their Applications 18 The Ramanujan Journal 17 Transactions of the American Mathematical Society 16 Compositio Mathematica 16 Proceedings of the American Mathematical Society 14 Research in Number Theory 13 Algebra & Number Theory 12 Forum of Mathematics, Sigma 11 Journal de Théorie des Nombres de Bordeaux 10 Advances in Mathematics 10 Duke Mathematical Journal 10 Inventiones Mathematicae 9 Bulletin of the London Mathematical Society 9 Mathematische Zeitschrift 9 Research in the Mathematical Sciences 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Journal of Pure and Applied Algebra 7 American Mathematical Monthly 7 Communications in Algebra 7 Journal of the London Mathematical Society. Second Series 7 Mathematische Annalen 6 Mathematics of Computation 6 Acta Arithmetica 6 Journal of the American Mathematical Society 6 Journal of the European Mathematical Society (JEMS) 5 Bulletin of the Australian Mathematical Society 5 Journal für die Reine und Angewandte Mathematik 5 Mathematika 5 Annals of Mathematics. Second Series 4 Israel Journal of Mathematics 4 Pacific Journal of Mathematics 4 Journal of the Ramanujan Mathematical Society 4 Documenta Mathematica 3 Annales de l’Institut Fourier 3 Journal of the Korean Mathematical Society 3 Manuscripta Mathematica 3 Monatshefte für Mathematik 3 Forum Mathematicum 3 Bulletin of the American Mathematical Society. New Series 3 Experimental Mathematics 3 Journal of Algebraic Combinatorics 3 Turkish Journal of Mathematics 3 Selecta Mathematica. New Series 3 LMS Journal of Computation and Mathematics 3 Integers 3 Journal of the Australian Mathematical Society 3 Journal of the Institute of Mathematics of Jussieu 3 Actes des Rencontres du C.I.R.M. 2 Communications in Mathematical Physics 2 Discrete Mathematics 2 Bulletin de la Société Mathématique de France 2 Canadian Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Journal of Approximation Theory 2 Journal of Combinatorial Theory. Series A 2 Proceedings of the London Mathematical Society. Third Series 2 Revista Matemática Iberoamericana 2 L’Enseignement Mathématique. 2e Série 2 Transformation Groups 2 Journal of Algebra and its Applications 2 Oberwolfach Reports 2 Journal of Commutative Algebra 2 European Journal of Mathematics 2 Proceedings of the American Mathematical Society. Series B 2 Transactions of the American Mathematical Society. Series B 2 La Matematica 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 The Mathematical Gazette 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Algebra Universalis 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the Indian Institute of Science 1 Kyungpook Mathematical Journal 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Results in Mathematics 1 SIAM Journal on Computing 1 European Journal of Combinatorics 1 Publicacions Matemàtiques 1 Sugaku Expositions 1 International Journal of Algebra and Computation 1 Designs, Codes and Cryptography 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série ...and 36 more Serials all top 5 Cited in 43 Fields 482 Number theory (11-XX) 118 Algebraic geometry (14-XX) 101 Commutative algebra (13-XX) 29 Field theory and polynomials (12-XX) 28 Group theory and generalizations (20-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 Combinatorics (05-XX) 11 Associative rings and algebras (16-XX) 11 Nonassociative rings and algebras (17-XX) 11 Probability theory and stochastic processes (60-XX) 7 General and overarching topics; collections (00-XX) 7 Topological groups, Lie groups (22-XX) 6 Quantum theory (81-XX) 6 Information and communication theory, circuits (94-XX) 5 History and biography (01-XX) 5 Algebraic topology (55-XX) 4 Computer science (68-XX) 4 Relativity and gravitational theory (83-XX) 3 \(K\)-theory (19-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 2 Category theory; homological algebra (18-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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