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Author ID: stein.william-a Recent zbMATH articles by "Stein, William A."
Published as: Stein, William A.; Stein, William
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 46 Publications since 2000, including 3 Books
2 Further Contributions
Software Indexed: 2 Packages
Biographic References: 1 Publication
Co-Authors: 34 Co-Authors with 28 Joint Publications
793 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 326 times in 258 Documents Cited by Year
Modular forms, a computational approach. With an appendix by Paul E. Gunnells. Zbl 1110.11015
Stein, William
188
2007
SAGE: system for algebra and geometry experimentation. Zbl 1341.68315
Stein, William; Joyner, David
29
2005
\(J_1(p)\) has connected fibers. Zbl 1101.14311
Conrad, Brian; Edixhoven, Bas; Stein, William
25
2003
Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Zbl 1020.11043
Flynn, E. Victor; Leprévost, Franck; Schaefer, Edward F.; Stein, William A.; Stoll, Michael
24
2001
The Manin constant. (With an appendix by J. Cremona). Zbl 1109.11032
Agashe, Amod; Ribet, Kenneth; Stein, William A.
24
2006
Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034
Mazur, Barry; Stein, William; Tate, John
22
2007
Average ranks of elliptic curves: tension between data and conjecture. Zbl 1190.11032
Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark
22
2007
Torsion points on elliptic curves over number fields of small degree. Zbl 1536.11084
Derickx, Maarten; Kamienny, Sheldon; Stein, William; Stoll, Michael
22
2023
Lectures on Serre’s conjectures. Zbl 1160.11327
Ribet, Kenneth A.; Stein, William A.
18
2001
Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. With an Appendix by J. Cremona and B. Mazur. Zbl 1084.11033
Agashe, Amod; Stein, William
18
2005
Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves. Zbl 1209.11059
Grigorov, Grigor; Jorza, Andrei; Patrikis, Stefan; Stein, William A.; Tarnita, Corina
16
2009
A database of elliptic curves – first report. Zbl 1058.11036
Stein, William A.; Watkins, Mark
16
2002
The modular degree, congruence primes, and multiplicity one. Zbl 1276.11087
Agashe, Amod; Ribet, Kenneth A.; Stein, William A.
16
2012
Component groups of purely toric quotients. Zbl 1081.11040
Conrad, Brian; Stein, William A.
12
2001
Algorithms for the arithmetic of elliptic curves using Iwasawa theory. Zbl 1336.11047
Stein, William; Wuthrich, Christian
12
2013
Visibility of Shafarevich-Tate groups of abelian varieties. Zbl 1101.14055
Agashe, Amod; Stein, William
12
2002
Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks. Zbl 1391.11077
Balakrishnan, Jennifer S.; Ho, Wei; Kaplan, Nathan; Spicer, Simon; Stein, William; Weigandt, James
10
2016
Fast computation of Hermite normal forms of random integer matrices. Zbl 1206.15027
Pernet, Clément; Stein, William
9
2010
Modular parametrizations of Neumann-Setzer elliptic curves. Zbl 1088.11043
Stein, William; Watkins, Mark
8
2004
The field generated by the points of small prime order on an elliptic curve. Zbl 1027.11041
Merel, Loïc; Stein, William A.
8
2001
Elementary number theory. Primes, congruences, and secrets. A computational approach. Zbl 1155.11002
Stein, William
8
2009
A \(p\)-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties. Zbl 1402.11099
Balakrishnan, Jennifer S.; Müller, J. Steffen; Stein, William A.
8
2016
Shafarevich-Tate groups of nonsquare order. Zbl 1080.11047
Stein, William A.
7
2004
On the generation of the coefficient field of a newform by a single Hecke eigenvalue. Zbl 1171.11027
Koo, Koopa Tak-Lun; Stein, William; Wiese, Gabor
6
2008
The Sage project: unifying free mathematical software to create a viable alternative to Magma, Maple, Mathematica and Matlab. Zbl 1295.68225
Eröcal, Burçin; Stein, William
5
2010
Conjectures about discriminants of Hecke algebras of prime level. Zbl 1125.11320
Calegari, Frank; Stein, William A.
5
2004
Prime numbers and the Riemann hypothesis. Zbl 1356.11001
Mazur, Barry; Stein, William
5
2016
Sage: creating a viable free open source alternative to Magma, Maple, Mathematica, and MATLAB. Zbl 1316.65123
Stein, William
4
2013
There are genus one curves over \({\mathbb Q}\) of every odd index. Zbl 1002.11050
Stein, William A.
4
2002
Explicit Heegner points: Kolyvagin’s conjecture and non-trivial elements in the Shafarevich-Tate group. Zbl 1228.11082
Jetchev, Dimitar; Lauter, Kristin; Stein, William
4
2009
Constructing elements in Shafarevich-Tate groups of modular motives. Zbl 1161.11354
Dummigan, Neil; Stein, William; Watkins, Mark
4
2003
A database of elliptic curves over \(\mathbb Q(\sqrt{5})\): a first report. Zbl 1344.11045
Bober, Jonathan; Deines, Alyson; Klages-Mundt, Ariah; LeVeque, Benjamin; Ohana, R. Andrew; Rabindranath, Ashwath; Sharaba, Paul; Stein, William
3
2013
Approximation of eigenforms of infinite slope by eigenforms of finite slope. Zbl 1101.11015
Coleman, Robert F.; Stein, William A.
3
2004
Some computations with Hecke rings and deformation rings. With an appendix by Amod Agashe and William Stein. Zbl 1116.11310
Lario, Joan-C.; Schoof, René
3
2002
A mod five approach to modularity of icosahedral Galois representations. Zbl 1054.11028
Buzzard, Kevin; Stein, William A.
3
2002
Non-commutative Iwasawa theory for modular forms. Zbl 1291.11089
Coates, John H.; Dokchitser, Tim; Liang, Zhibin; Stein, William; Sujatha, R.
2
2013
Component groups of quotients of \(J_0(N)\). Zbl 0984.11022
Kohel, David R.; Stein, William A.
2
2000
Cuspidal modular symbols are transportable. Zbl 1049.11054
Stein, William A.; Verrill, Helena A.
2
2001
An introduction to computing modular forms using modular symbols. Zbl 1188.11074
Stein, William A.
2
2008
Heegner points and the arithmetic of elliptic curves over ring class extensions. Zbl 1276.11088
Bradshaw, Robert; Stein, William
2
2012
\(p\)-adic heights of Heegner points and \(\Lambda\)-adic regulators. Zbl 1316.11116
Balakrishnan, Jennifer S.; Çiperiani, Mirela; Stein, William
1
2015
Toward a generalization of the Gross-Zagier conjecture. Zbl 1278.11070
Stein, William A.
1
2011
Torsion points on elliptic curves over number fields of small degree. Zbl 1536.11084
Derickx, Maarten; Kamienny, Sheldon; Stein, William; Stoll, Michael
22
2023
Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks. Zbl 1391.11077
Balakrishnan, Jennifer S.; Ho, Wei; Kaplan, Nathan; Spicer, Simon; Stein, William; Weigandt, James
10
2016
A \(p\)-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties. Zbl 1402.11099
Balakrishnan, Jennifer S.; Müller, J. Steffen; Stein, William A.
8
2016
Prime numbers and the Riemann hypothesis. Zbl 1356.11001
Mazur, Barry; Stein, William
5
2016
\(p\)-adic heights of Heegner points and \(\Lambda\)-adic regulators. Zbl 1316.11116
Balakrishnan, Jennifer S.; Çiperiani, Mirela; Stein, William
1
2015
Algorithms for the arithmetic of elliptic curves using Iwasawa theory. Zbl 1336.11047
Stein, William; Wuthrich, Christian
12
2013
Sage: creating a viable free open source alternative to Magma, Maple, Mathematica, and MATLAB. Zbl 1316.65123
Stein, William
4
2013
A database of elliptic curves over \(\mathbb Q(\sqrt{5})\): a first report. Zbl 1344.11045
Bober, Jonathan; Deines, Alyson; Klages-Mundt, Ariah; LeVeque, Benjamin; Ohana, R. Andrew; Rabindranath, Ashwath; Sharaba, Paul; Stein, William
3
2013
Non-commutative Iwasawa theory for modular forms. Zbl 1291.11089
Coates, John H.; Dokchitser, Tim; Liang, Zhibin; Stein, William; Sujatha, R.
2
2013
The modular degree, congruence primes, and multiplicity one. Zbl 1276.11087
Agashe, Amod; Ribet, Kenneth A.; Stein, William A.
16
2012
Heegner points and the arithmetic of elliptic curves over ring class extensions. Zbl 1276.11088
Bradshaw, Robert; Stein, William
2
2012
Toward a generalization of the Gross-Zagier conjecture. Zbl 1278.11070
Stein, William A.
1
2011
Fast computation of Hermite normal forms of random integer matrices. Zbl 1206.15027
Pernet, Clément; Stein, William
9
2010
The Sage project: unifying free mathematical software to create a viable alternative to Magma, Maple, Mathematica and Matlab. Zbl 1295.68225
Eröcal, Burçin; Stein, William
5
2010
Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves. Zbl 1209.11059
Grigorov, Grigor; Jorza, Andrei; Patrikis, Stefan; Stein, William A.; Tarnita, Corina
16
2009
Elementary number theory. Primes, congruences, and secrets. A computational approach. Zbl 1155.11002
Stein, William
8
2009
Explicit Heegner points: Kolyvagin’s conjecture and non-trivial elements in the Shafarevich-Tate group. Zbl 1228.11082
Jetchev, Dimitar; Lauter, Kristin; Stein, William
4
2009
On the generation of the coefficient field of a newform by a single Hecke eigenvalue. Zbl 1171.11027
Koo, Koopa Tak-Lun; Stein, William; Wiese, Gabor
6
2008
An introduction to computing modular forms using modular symbols. Zbl 1188.11074
Stein, William A.
2
2008
Modular forms, a computational approach. With an appendix by Paul E. Gunnells. Zbl 1110.11015
Stein, William
188
2007
Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034
Mazur, Barry; Stein, William; Tate, John
22
2007
Average ranks of elliptic curves: tension between data and conjecture. Zbl 1190.11032
Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark
22
2007
The Manin constant. (With an appendix by J. Cremona). Zbl 1109.11032
Agashe, Amod; Ribet, Kenneth; Stein, William A.
24
2006
SAGE: system for algebra and geometry experimentation. Zbl 1341.68315
Stein, William; Joyner, David
29
2005
Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. With an Appendix by J. Cremona and B. Mazur. Zbl 1084.11033
Agashe, Amod; Stein, William
18
2005
Modular parametrizations of Neumann-Setzer elliptic curves. Zbl 1088.11043
Stein, William; Watkins, Mark
8
2004
Shafarevich-Tate groups of nonsquare order. Zbl 1080.11047
Stein, William A.
7
2004
Conjectures about discriminants of Hecke algebras of prime level. Zbl 1125.11320
Calegari, Frank; Stein, William A.
5
2004
Approximation of eigenforms of infinite slope by eigenforms of finite slope. Zbl 1101.11015
Coleman, Robert F.; Stein, William A.
3
2004
\(J_1(p)\) has connected fibers. Zbl 1101.14311
Conrad, Brian; Edixhoven, Bas; Stein, William
25
2003
Constructing elements in Shafarevich-Tate groups of modular motives. Zbl 1161.11354
Dummigan, Neil; Stein, William; Watkins, Mark
4
2003
A database of elliptic curves – first report. Zbl 1058.11036
Stein, William A.; Watkins, Mark
16
2002
Visibility of Shafarevich-Tate groups of abelian varieties. Zbl 1101.14055
Agashe, Amod; Stein, William
12
2002
There are genus one curves over \({\mathbb Q}\) of every odd index. Zbl 1002.11050
Stein, William A.
4
2002
Some computations with Hecke rings and deformation rings. With an appendix by Amod Agashe and William Stein. Zbl 1116.11310
Lario, Joan-C.; Schoof, René
3
2002
A mod five approach to modularity of icosahedral Galois representations. Zbl 1054.11028
Buzzard, Kevin; Stein, William A.
3
2002
Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Zbl 1020.11043
Flynn, E. Victor; Leprévost, Franck; Schaefer, Edward F.; Stein, William A.; Stoll, Michael
24
2001
Lectures on Serre’s conjectures. Zbl 1160.11327
Ribet, Kenneth A.; Stein, William A.
18
2001
Component groups of purely toric quotients. Zbl 1081.11040
Conrad, Brian; Stein, William A.
12
2001
The field generated by the points of small prime order on an elliptic curve. Zbl 1027.11041
Merel, Loïc; Stein, William A.
8
2001
Cuspidal modular symbols are transportable. Zbl 1049.11054
Stein, William A.; Verrill, Helena A.
2
2001
Component groups of quotients of \(J_0(N)\). Zbl 0984.11022
Kohel, David R.; Stein, William A.
2
2000
all top 5

Cited by 297 Authors

12 Balakrishnan, Jennifer S.
9 Stein, William A.
8 Agashe, Amod
8 Mazur, Barry
8 Müller, Jan Steffen
7 Lozano-Robledo, Álvaro
7 Stoll, Michael
6 Najman, Filip
6 Wuthrich, Christian
5 Derickx, Maarten
5 Papikian, Mihran
5 Pasten, Hector V.
4 Fisher, Tom A.
4 Keller, Timo
4 Lorenzini, Dino J.
4 Ray, Anwesh
4 van Bommel, Raymond
4 Voight, John Michael
4 Vonk, Jan B.
3 Besser, Amnon
3 Calegari, Frank
3 Česnavičius, Kęstutis
3 Dieulefait, Luis Victor
3 Dogra, Netan
3 González-Jiménez, Enrique
3 Khawaja, Maleeha
3 Morrow, Jackson Salvatore
3 Ozman, Ekin
3 Paladino, Laura
3 Rouse, Jeremy A.
3 Rubin, Karl Cooper
3 Shankar, Arul
3 Siksek, Samir
3 Sutherland, Andrew V.
3 Tian, Peng
2 Ahlgren, Scott D.
2 Bennett, Michael A.
2 Best, Alex J.
2 Bhargava, Manjul
2 Bianchi, Francesca
2 Bourdon, Abbey
2 Bradshaw, Robert W.
2 Bruin, Nils
2 Bruin, Peter
2 Burns, David John
2 Byeon, Dongho
2 Caro, Jerson
2 Cremona, John E.
2 Dąbrowski, Andrzej Bogdan
2 Dalal, Tarun
2 Darmon, Henri René
2 Dokchitser, Tim
2 Dvornicich, Roberto
2 Flynn, Eugene Victor
2 Halle, Lars Halvard
2 Hashimoto, Sachi
2 Ho, Wei
2 Howe, Everett W.
2 Jorza, Andrei
2 Kamienny, Sheldon
2 Kazalicki, Matija
2 Kedlaya, Kiran Sridhara
2 Kim, Taekyung
2 Kirst, Peter
2 Kohen, Daniel
2 Kumar, Narasimha
2 Li, Wanlin
2 Lowry-Duda, David
2 Macias Castillo, Daniel
2 Martin, Kimball
2 Mascot, Nicolas
2 Matschke, Benjamin
2 Melistas, Mentzelos
2 Michaud-Jacobs, Philippe
2 Miller, Robert L.
2 Obus, Andrew
2 Pacetti, Ariel Martín
2 Padurariu, Oana
2 Parent, Pierre
2 Poonen, Bjorn
2 Rechnitzer, Andrew Daniel
2 Rotger, Victor
2 Schaefer, Edward F.
2 Shekhar, Sudhanshu
2 Silverberg, Alice
2 Stein, Oliver
2 Sun, Hae-Sang
2 Szymaszkiewicz, Lucjan
2 Tuitman, Jan
2 Vigni, Stefano
2 Von Känel, Rafael
2 Vukorepa, Borna
2 Weston, Tom
2 Wewers, Stefan
2 Yhee, Donggeon
2 Zureick-Brown, David
1 Adžaga, Nikola
1 Agarwal, Mahesh
1 Angelantonj, Carlo
1 Baig, Salman
...and 197 more Authors
all top 5

Cited in 75 Serials

34 Journal of Number Theory
27 Mathematics of Computation
16 Research in Number Theory
10 Proceedings of the American Mathematical Society
7 Annales de l’Institut Fourier
6 Mathematische Annalen
6 Experimental Mathematics
6 Journal de Théorie des Nombres de Bordeaux
6 LMS Journal of Computation and Mathematics
6 International Journal of Number Theory
5 Journal of Algebra
5 Mathematische Zeitschrift
5 Transactions of the American Mathematical Society
5 Bulletin of the American Mathematical Society. New Series
5 Annals of Mathematics. Second Series
5 Forum of Mathematics, Sigma
4 Compositio Mathematica
4 Journal für die Reine und Angewandte Mathematik
4 Algebra & Number Theory
3 Israel Journal of Mathematics
3 Advances in Mathematics
3 Duke Mathematical Journal
3 The Ramanujan Journal
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Bulletin of the London Mathematical Society
2 Canadian Journal of Mathematics
2 Inventiones Mathematicae
2 Journal of the Mathematical Society of Japan
2 Manuscripta Mathematica
2 Memoirs of the American Mathematical Society
2 Journal of the Ramanujan Mathematical Society
2 Documenta Mathematica
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 European Journal of Mathematics
1 Bulletin of the Australian Mathematical Society
1 Discrete Applied Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 The Mathematical Intelligencer
1 Acta Arithmetica
1 The Annals of Statistics
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Journal of Optimization Theory and Applications
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tokyo Journal of Mathematics
1 Journal of Symbolic Computation
1 Revista Matemática Iberoamericana
1 Publicacions Matemàtiques
1 Journal of Global Optimization
1 Journal of Algebraic Geometry
1 The New York Journal of Mathematics
1 Selecta Mathematica. New Series
1 Journal of High Energy Physics
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Statistical Mechanics: Theory and Experiment
1 Oberwolfach Reports
1 Involve
1 Annales Mathématiques du Québec
1 Transactions of the London Mathematical Society
1 Journal of Applied Mathematics, Statistics and Informatics
1 Research in the Mathematical Sciences
1 Journal de l’École Polytechnique – Mathématiques
1 Transactions of the American Mathematical Society. Series B
1 SIAM Journal on Applied Algebra and Geometry
1 Graduate Journal of Mathematics

Citations by Year

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