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Author ID: bhargava.manjul Recent zbMATH articles by "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)

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 766 times in 412 Documents Cited by Year
The density of discriminants of quartic rings and fields. Zbl 1159.11045
Bhargava, Manjul
70
2005
\(P\)-orderings and polynomial functions on arbitrary subsets of Dedekind rings. Zbl 0899.13022
Bhargava, Manjul
63
1997
The density of discriminants of quintic rings and fields. Zbl 1220.11139
Bhargava, Manjul
47
2010
On the Conway-Schneeberger Fifteen Theorem. Zbl 0987.11027
Bhargava, Manjul
46
2000
The factorial function and generalizations. Zbl 0987.05003
Bhargava, Manjul
46
2000
Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves. Zbl 1307.11071
Bhargava, Manjul; Shankar, Arul
39
2015
Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations. Zbl 1072.11078
Bhargava, Manjul
35
2004
Higher composition laws. III: The parametrization of quartic rings. Zbl 1169.11045
Bhargava, Manjul
34
2004
On the Davenport-Heilbronn theorems and second order terms. Zbl 1294.11191
Bhargava, Manjul; Shankar, Arul; Tsimerman, Jacob
31
2013
Mass formulae for extensions of local fields, and conjectures on the density of number field discriminants. Zbl 1145.11080
Bhargava, Manjul
25
2007
Higher composition laws. II: On cubic analogues of Gauss composition. Zbl 1169.11044
Bhargava, Manjul
24
2004
Generalized factorials and fixed divisors over subsets of a Dedekind domain. Zbl 0931.13004
Bhargava, Manjul
23
1998
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
18
2015
On \(P\)-orderings, rings of integer-valued polynomials, and ultrametric analysis. Zbl 1219.11047
Bhargava, Manjul
18
2009
Higher composition laws. IV: The parametrization of quintic rings. Zbl 1173.11058
Bhargava, Manjul
17
2008
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
16
2015
Factoring Dickson polynomials over finite fields. Zbl 0929.11060
Bhargava, Manjul; Zieve, Michael E.
15
1999
Error estimates for the Davenport-Heilbronn theorems. Zbl 1227.11114
Belabas, Karim; Bhargava, Manjul; Pomerance, Carl
15
2010
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.
15
2013
Arithmetic invariant theory. Zbl 1377.11045
Bhargava, Manjul; Gross, Benedict H.
13
2014
Coregular spaces and genus one curves. Zbl 1342.14074
Bhargava, Manjul; Ho, Wei
12
2016
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
12
2017
The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields. Zbl 1347.11074
Bhargava, Manjul; Harron, Piper
11
2016
The density of discriminants of \(S_3\)-sextic number fields. Zbl 1171.11058
Bhargava, Manjul; Wood, Melanie Matchett
10
2008
Higher composition laws and applications. Zbl 1129.11049
Bhargava, Manjul
10
2006
On the number of cubic orders of bounded discriminant having automorphism group \(C_3\), and related problems. Zbl 1298.11102
Bhargava, Manjul; Shnidman, Ariel
10
2014
Arithmetic invariant theory II: pure inner forms and obstructions to the existence of orbits. Zbl 1377.11046
Bhargava, Manjul; Gross, Benedict H.; Wang, Xiaoheng
9
2015
Continuous functions on compact subsets of local fields. Zbl 0979.11054
Bhargava, Manjul; Kedlaya, Kiran S.
9
1999
Finite generation properties for various rings of integer-valued polynomials. Zbl 1177.13051
Bhargava, Manjul; Cahen, Paul-Jean; Yeramian, Julie
8
2009
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.
8
2020
The proportion of plane cubic curves over \(\mathbb{Q}\) that everywhere locally have a point. Zbl 1341.11033
Bhargava, Manjul; Cremona, John; Fisher, Tom
7
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
6
2016
On a notion of “Galois closure” for extensions of rings. Zbl 1396.13007
Bhargava, Manjul; Satriano, Matthew
6
2014
A positive proportion of Thue equations fail the integral Hasse principle. Zbl 1450.11026
Akhtari, Shabnam; Bhargava, Manjul
6
2019
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.
6
2016
A positive proportion of elliptic curves over \(\mathbb Q\) have rank one. Zbl 1315.11045
Bhargava, Manjul; Skinner, Christopher
5
2014
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
5
2015
Congruence preservation and polynomial functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_m\). Zbl 0883.11011
Bhargava, Manjul
3
1997
On the average number of octahedral newforms of prime level. Zbl 1206.11049
Bhargava, Manjul; Ghate, Eknath
3
2009
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
3
2017
Orbit parametrizations for \(K3\) surfaces. Zbl 1346.14099
Bhargava, Manjul; Ho, Wei; Kumar, Abhinav
2
2016
Gauss composition and generalizations. Zbl 1058.11030
Bhargava, Manjul
2
2002
\(3\)-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
1
2019
Rational points on elliptic and hyperelliptic curves. Zbl 1373.11045
Bhargava, Manjul
1
2014
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
1
2021
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
1
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.
8
2020
A positive proportion of Thue equations fail the integral Hasse principle. Zbl 1450.11026
Akhtari, Shabnam; Bhargava, Manjul
6
2019
\(3\)-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
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
12
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
3
2017
Coregular spaces and genus one curves. Zbl 1342.14074
Bhargava, Manjul; Ho, Wei
12
2016
The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields. Zbl 1347.11074
Bhargava, Manjul; Harron, Piper
11
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
7
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
6
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.
6
2016
Orbit parametrizations for \(K3\) surfaces. Zbl 1346.14099
Bhargava, Manjul; Ho, Wei; Kumar, Abhinav
2
2016
Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves. Zbl 1307.11071
Bhargava, Manjul; Shankar, Arul
39
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
18
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
16
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
9
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
5
2015
Arithmetic invariant theory. Zbl 1377.11045
Bhargava, Manjul; Gross, Benedict H.
13
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
10
2014
On a notion of “Galois closure” for extensions of rings. Zbl 1396.13007
Bhargava, Manjul; Satriano, Matthew
6
2014
A positive proportion of elliptic curves over \(\mathbb Q\) have rank one. Zbl 1315.11045
Bhargava, Manjul; Skinner, Christopher
5
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
31
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.
15
2013
The density of discriminants of quintic rings and fields. Zbl 1220.11139
Bhargava, Manjul
47
2010
Error estimates for the Davenport-Heilbronn theorems. Zbl 1227.11114
Belabas, Karim; Bhargava, Manjul; Pomerance, Carl
15
2010
On \(P\)-orderings, rings of integer-valued polynomials, and ultrametric analysis. Zbl 1219.11047
Bhargava, Manjul
18
2009
Finite generation properties for various rings of integer-valued polynomials. Zbl 1177.13051
Bhargava, Manjul; Cahen, Paul-Jean; Yeramian, Julie
8
2009
On the average number of octahedral newforms of prime level. Zbl 1206.11049
Bhargava, Manjul; Ghate, Eknath
3
2009
Higher composition laws. IV: The parametrization of quintic rings. Zbl 1173.11058
Bhargava, Manjul
17
2008
The density of discriminants of \(S_3\)-sextic number fields. Zbl 1171.11058
Bhargava, Manjul; Wood, Melanie Matchett
10
2008
Mass formulae for extensions of local fields, and conjectures on the density of number field discriminants. Zbl 1145.11080
Bhargava, Manjul
25
2007
Higher composition laws and applications. Zbl 1129.11049
Bhargava, Manjul
10
2006
The density of discriminants of quartic rings and fields. Zbl 1159.11045
Bhargava, Manjul
70
2005
Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations. Zbl 1072.11078
Bhargava, Manjul
35
2004
Higher composition laws. III: The parametrization of quartic rings. Zbl 1169.11045
Bhargava, Manjul
34
2004
Higher composition laws. II: On cubic analogues of Gauss composition. Zbl 1169.11044
Bhargava, Manjul
24
2004
Gauss composition and generalizations. Zbl 1058.11030
Bhargava, Manjul
2
2002
On the Conway-Schneeberger Fifteen Theorem. Zbl 0987.11027
Bhargava, Manjul
46
2000
The factorial function and generalizations. Zbl 0987.05003
Bhargava, Manjul
46
2000
Factoring Dickson polynomials over finite fields. Zbl 0929.11060
Bhargava, Manjul; Zieve, Michael E.
15
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
23
1998
\(P\)-orderings and polynomial functions on arbitrary subsets of Dedekind rings. Zbl 0899.13022
Bhargava, Manjul
63
1997
Congruence preservation and polynomial functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_m\). Zbl 0883.11011
Bhargava, Manjul
3
1997
all top 5

Cited by 469 Authors

21 Bhargava, Manjul
18 Chabert, Jean-Luc
12 Wood, Melanie Matchett
11 Adam, David
10 Oh, Byeong-Kweon
10 Shankar, Arul
9 Cahen, Paul-Jean
9 Thorne, Frank
8 Johnson, Keith Peter
7 Fisher, Tom A.
6 Cohen, Henri
6 Mantilla-Soler, Guillermo
6 Poonen, Bjorn
5 Fares, Youssef
5 Ho, Wei
5 Kala, Vítězslav
5 Kaplan, Nathan
5 Kim, Henry H.
5 Sha, Min
5 Taniguchi, Takashi
5 Wang, Xiaoheng
5 Xiao, Stanley Yao
4 Cho, Peter Jaehyun
4 Creutz, Brendan
4 Evrard, Sabine
4 Gross, Benedict Hyman
4 Ishitsuka, Yasuhiro
4 Ji, Yun-Seong
4 Ju, Jangwon
4 Lemke Oliver, Robert J.
4 Li, Xiumei
4 O’Dorney, Evan M.
4 Peruginelli, Giulio
4 Thorne, Jack A.
4 Tsimerman, Jacob
4 Widmer, Martin
3 Alberts, Brandon
3 Belabas, Karim
3 Boulanger, Jacques
3 Diaz y Diaz, Francisco
3 Earnest, Andrew G.
3 Ellenberg, Jordan S.
3 Frisch, Sophie
3 Kim, Byeong Moon
3 Kim, Ji Young
3 Kim, Myung-Hwan
3 Klagsbrun, Zev
3 Lagarias, Jeffrey C.
3 Malle, Gunter
3 Olivier, Michel
3 Pierce, Lillian B.
3 Prasad, Devendra
3 Rouse, Jeremy A.
3 Stoll, Michael
3 Thakur, Dinesh S.
3 Varma, Ila
3 Voight, John Michael
3 Wang, Jiuya
3 Werner, Nicholas J.
3 Williams, Kenneth S.
3 Yeramian, Julie
3 Yucas, Joseph L.
2 Barquero-Sanchez, Adrian
2 Biesel, Owen
2 Blomer, Valentin
2 Bochnak, Jacek
2 Borsten, Leron
2 Budarina, Natalia Viktorovna
2 Cegielski, Patrick
2 Cremona, John E.
2 Dèbes, Pierre
2 Delaunay, Christophe
2 Duff, Michael J.
2 Evans, Ronald J.
2 Fitzgerald, Robert W.
2 Frei, Christopher
2 Gao, Xia
2 Gioia, Alberto
2 Greither, Cornelius
2 Grigorieff, Serge
2 Grinberg, Darij
2 Guessarian, Irène
2 Gunawardana, B. L. K.
2 Harron, Robert
2 Hirakawa, Yoshinosuke
2 Hough, Bob
2 Hough, Robert D.
2 Ito, Tetsushi
2 Jacobson, Michael John jun.
2 Jones, John William
2 Kane, Ben
2 Kane, Daniel M.
2 Kedlaya, Kiran Sridhara
2 Kim, Daejun
2 Kim, Mingyu
2 Kim, Myeong Jae
2 Klüners, Jürgen
2 Köklüce, Bülent
2 Kominers, Scott Duke
2 König, Joachim
...and 369 more Authors
all top 5

Cited in 111 Serials

53 Journal of Number Theory
23 International Journal of Number Theory
19 Journal of Algebra
15 Proceedings of the American Mathematical Society
15 Finite Fields and their Applications
15 The Ramanujan Journal
13 Compositio Mathematica
11 Journal de Théorie des Nombres de Bordeaux
10 Transactions of the American Mathematical Society
9 Research in Number Theory
8 Duke Mathematical Journal
8 Research in the Mathematical Sciences
7 Inventiones Mathematicae
7 Journal of Pure and Applied Algebra
6 Mathematics of Computation
6 Advances in Mathematics
6 Journal of the European Mathematical Society (JEMS)
6 Forum of Mathematics, Sigma
5 Communications in Algebra
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Journal of the American Mathematical Society
5 Annals of Mathematics. Second Series
4 American Mathematical Monthly
4 Mathematische Annalen
4 Mathematische Zeitschrift
4 Journal of the Ramanujan Mathematical Society
4 Algebra & Number Theory
3 Bulletin of the Australian Mathematical Society
3 Acta Arithmetica
3 Bulletin of the London Mathematical Society
3 Monatshefte für Mathematik
3 Bulletin of the American Mathematical Society. New Series
3 Experimental Mathematics
3 Journal of Algebraic Combinatorics
3 Documenta Mathematica
3 LMS Journal of Computation and Mathematics
3 Integers
3 Actes des Rencontres du C.I.R.M.
2 Communications in Mathematical Physics
2 Israel Journal of Mathematics
2 Annales de l’Institut Fourier
2 Canadian Journal of Mathematics
2 Commentarii Mathematici Helvetici
2 Journal of Approximation Theory
2 Journal of Combinatorial Theory. Series A
2 Journal of the Korean Mathematical Society
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Mathematika
2 Transformation Groups
2 Journal of the Australian Mathematical Society
2 Journal of the Institute of Mathematics of Jussieu
1 Communications on Pure and Applied Mathematics
1 Discrete 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 Algebra Universalis
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Kyungpook Mathematical Journal
1 Mathematica Slovaca
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 European Journal of Combinatorics
1 Forum Mathematicum
1 International Journal of Algebra and Computation
1 Geometric and Functional Analysis. GAFA
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Filomat
1 The Electronic Journal of Combinatorics
1 The New York Journal of Mathematics
1 Selecta Mathematica. New Series
1 Séminaire Lotharingien de Combinatoire
1 Taiwanese Journal of Mathematics
1 Journal of Group Theory
1 Annals of Combinatorics
1 Physical Review Letters
1 Portugaliae Mathematica. Nova Série
1 Journal of Algebra and its Applications
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 The College Mathematics Journal
1 European Journal of Pure and Applied Mathematics
1 Involve
...and 11 more Serials
all top 5

Cited in 42 Fields

340 Number theory (11-XX)
79 Commutative algebra (13-XX)
72 Algebraic geometry (14-XX)
23 Field theory and polynomials (12-XX)
21 Group theory and generalizations (20-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
14 Combinatorics (05-XX)
10 Nonassociative rings and algebras (17-XX)
7 Associative rings and algebras (16-XX)
6 Topological groups, Lie groups (22-XX)
5 Probability theory and stochastic processes (60-XX)
5 Quantum theory (81-XX)
4 History and biography (01-XX)
4 Algebraic topology (55-XX)
3 General and overarching topics; collections (00-XX)
3 \(K\)-theory (19-XX)
3 Functional analysis (46-XX)
3 Convex and discrete geometry (52-XX)
3 Relativity and gravitational theory (83-XX)
2 Category theory; homological algebra (18-XX)
2 Functions of a complex variable (30-XX)
2 Abstract harmonic analysis (43-XX)
2 Computer science (68-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 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Partial differential equations (35-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-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)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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