## Rubin, Karl Cooper

Compute Distance To:
 Author ID: rubin.karl Published as: Rubin, Karl; Rubin, K. External Links: MGP · Wikidata · IdRef
 Documents Indexed: 74 Publications since 1981, including 2 Books 3 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 30 Co-Authors with 50 Joint Publications 840 Co-Co-Authors
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### Co-Authors

 27 single-authored 23 Mazur, Barry 23 Silverberg, Alice 2 Friedlander, John Benjamin 2 Iwaniec, Henryk 2 Klagsbrun, Zev 2 Popescu, Cristian D. 1 Boneh, Dan 1 Çiperiani, Mirela 1 Conrad, Brian 1 de Smit, Bart 1 Granger, Robert A. 1 Greenberg, Ralph 1 Greither, Cornelius 1 Khare, Chandrashekhar 1 Lang, Serge 1 Larsen, Michael Jeffrey 1 Page, Dan 1 Pollack, Robert 1 Rains, Eric M. 1 Replogle, Daniel R. 1 Scholl, Travis 1 Schoof, René 1 Sharif, Shahed 1 Skinner, Christopher M. 1 Srivastav, Anupam 1 Stam, Martijn 1 Stoll, Michael 1 Thorne, Jack A. 1 van Dijk, Marten 1 Wiles, Andrew John 1 Woodruff, David P.
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### Serials

 11 Inventiones Mathematicae 3 Compositio Mathematica 3 Journal of Number Theory 3 Annals of Mathematics. Second Series 2 American Journal of Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 IAS/Park City Mathematics Series 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematics of Computation 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Computing 1 Transactions of the American Mathematical Society 1 Journal of Cryptology 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Documenta Mathematica 1 Annals of Mathematics Studies 1 Graduate Texts in Mathematics 1 Algebra & Number Theory 1 Proceedings of the American Mathematical Society. Series B
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### Fields

 68 Number theory (11-XX) 40 Algebraic geometry (14-XX) 8 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Probability theory and stochastic processes (60-XX)

### Citations contained in zbMATH Open

68 Publications have been cited 1,023 times in 620 Documents Cited by Year
The “main conjectures” of Iwasawa theory for imaginary quadratic fields. Zbl 0737.11030
Rubin, Karl
1991
Cyclotomic fields. I and II. With an appendix by Karl Rubin: The main conjecture. Combined 2nd edition. Zbl 0704.11038
Lang, Serge
1990
Euler systems. (Hermann Weyl lectures). Zbl 0977.11001
Rubin, Karl
2000
A Stark conjecture “over $${\mathbb{Z}}$$” for abelian $$L$$-functions with multiple zeros. Zbl 0834.11044
Rubin, Karl
1996
Kolyvagin systems. Zbl 1055.11041
Mazur, Barry; Rubin, Karl
2004
Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075
Mazur, B.; Rubin, K.
2010
Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication. Zbl 0628.14018
Rubin, Karl
1987
Finding large Selmer rank via an arithmetic theory of local constants. Zbl 1219.11084
Mazur, Barry; Rubin, Karl
2007
Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. Zbl 0506.14039
Rubin, Karl
1981
Swan modules and Hilbert-Speiser number fields. Zbl 0941.11044
Greither, Cornelius; Replogle, Daniel R.; Rubin, Karl; Srivastav, Anupam
1999
Global units and ideal class groups. Zbl 0628.12007
Rubin, Karl
1987
Ranks of elliptic curves. Zbl 1052.11039
Rubin, Karl; Silverberg, Alice
2002
Families of elliptic curves with constant $$\text{mod }p$$ representations. Zbl 0856.11027
Rubin, K.; Silverberg, A.
1995
On the main conjecture of Iwasawa theory for imaginary quadratic fields. Zbl 0673.12004
Rubin, Karl
1988
Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
2013
Congruences for special values of L-functions of elliptic curves with complex multiplication. Zbl 0513.14012
Rubin, Karl
1983
The main conjecture for CM elliptic curves at supersingular primes. Zbl 1082.11035
Pollack, Robert; Rubin, Karl
2004
Supersingular Abelian varieties in cryptology. Zbl 1026.94540
Rubin, Karl; Silverberg, Alice
2002
Twisting commutative algebraic groups. Zbl 1128.14034
Mazur, B.; Rubin, K.; Silverberg, A.
2007
$$p$$-adic $$L$$-functions and rational points on elliptic curves with complex multiplication. Zbl 0770.11033
Rubin, Karl
1992
Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. Zbl 0991.11028
Rubin, Karl
1999
Torus-based cryptography. Zbl 1122.94400
Rubin, Karl; Silverberg, Alice
2003
Rank frequencies for quadratic twists of elliptic curves. Zbl 1035.11025
Rubin, Karl; Silverberg, Alice
2001
Euler systems and modular elliptic curves. Zbl 0952.11016
Rubin, Karl
1998
Stark units and Kolyvagin’s “Euler systems”. Zbl 0752.11045
Rubin, Karl
1992
Mod $$2$$ representations of elliptic curves. Zbl 1030.11025
Rubin, K.; Silverberg, A.
2001
The spin of prime ideals. Zbl 1296.11150
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
2013
Choosing the correct elliptic curve in the CM method. Zbl 1213.11127
Rubin, K.; Silverberg, A.
2010
Local units, elliptic units, Heegner points and elliptic curves. Zbl 0623.14006
Rubin, Karl
1987
Compression in finite fields and torus-based cryptography. Zbl 1211.94036
Rubin, K.; Silverberg, A.
2008
Controlling Selmer groups in the higher core rank case. Zbl 1411.11065
Mazur, Barry; Rubin, Karl
2016
Finding composite order ordinary elliptic curves using the Cocks-Pinch method. Zbl 1217.11061
Boneh, D.; Rubin, K.; Silverberg, A.
2011
Point counting on reductions of CM elliptic curves. Zbl 1194.11068
Rubin, K.; Silverberg, A.
2009
The one-variable main conjecture for elliptic curves with complex multiplication. Zbl 0741.11028
Rubin, Karl
1991
Practical cryptography in high dimensional tori. Zbl 1137.94362
van Dijk, Marten; Granger, Robert; Page, Dan; Rubin, Karl; Silverberg, Alice; Stam, Martijn; Woodruff, David
2005
Using primitive subgroups to do more with fewer bits. Zbl 1125.94328
Rubin, K.; Silverberg, A.
2004
A Markov model for Selmer ranks in families of twists. Zbl 1316.11045
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
2014
Mordell-Weil groups of elliptic curves over cyclotomic fields. Zbl 0519.14017
Rubin, Karl; Wiles, Andrew
1982
More “Main Conjectures” for imaginary quadratic fields. Zbl 0809.11066
Rubin, Karl
1994
Abelian varieties, $$p$$-adic heights and derivatives. Zbl 0829.11034
Rubin, Karl
1994
Elliptic curves and class field theory. Zbl 1036.11023
Mazur, Barry; Rubin, Karl
2002
Kolyvagin’s system of Gauss sums. Zbl 0727.11044
Rubin, Karl
1991
Using abelian varieties to improve pairing-based cryptography. Zbl 1170.94013
Rubin, K.; Silverberg, A.
2009
Refined class number formulas and Kolyvagin systems. Zbl 1225.11144
Mazur, Barry; Rubin, Karl
2011
Studying the growth of Mordell-Weil. Zbl 1142.11339
Mazur, Barry; Rubin, Karl
2003
Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023
Mazur, Barry; Rubin, Karl
2008
Twists of elliptic curves of rank at least four. Zbl 1213.11122
Rubin, K.; Silverberg, A.
2007
Criteria for complete intersections. Zbl 0903.13003
De Smit, Bart; Rubin, Karl; Schoof, René
1997
Modularity of mod 5 representations. Zbl 0914.11030
Rubin, Karl
1997
Mod 6 representations of elliptic curves. Zbl 0933.11031
Rubin, Karl; Silverberg, Alice
1999
Ranks of elliptic curves in families of quadratic twists. Zbl 0959.11023
Rubin, Karl; Silverberg, Alice
2000
Elliptic curves and $${\mathbb{Z}}_ p$$-extensions. Zbl 0599.14028
Rubin, Karl
1985
Organizing the arithmetic of elliptic curves. Zbl 1122.11038
Mazur, Barry; Rubin, Karl
2005
$$p$$-adic variants of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. Zbl 0862.14014
Rubin, Karl
1994
Refined class number formulas for $$\mathbb{G}_m$$. Zbl 1414.11155
Mazur, Barry; Rubin, Karl
2016
Diophantine stability. Zbl 06924832
Mazur, Barry; Rubin, Karl; Larsen, Michael
2018
On elliptic curves with an isogeny of degree 7. Zbl 1296.11063
Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M.
2014
Fudge factors in the Birch and Swinnerton-Dyer conjecture. Zbl 1213.11137
Rubin, Karl
2007
Finding large Selmer groups. Zbl 1211.11068
Mazur, Barry; Rubin, Karl
2005
Selmer companion curves. Zbl 1316.11047
Mazur, Barry; Rubin, Karl
2015
Euler systems and exact formulas in number theory. Zbl 0871.11044
Rubin, K.
1996
Arithmetic algebraic geometry. Expanded lectures delivered at the graduate summer school of the Institute for Advanced Study/Park City Mathematics Institute, Park City, UT, USA, June 20–July 10, 1999. Zbl 0974.00034
2001
A report on Wiles’ Cambridge lectures. Zbl 0924.11046
Rubin, K.; Silverberg, A.
1994
Algebraic tori in cryptography. Zbl 1073.94014
Rubin, Karl; Silverberg, Alice
2004
Erratum to: “The spin of prime ideals”. Zbl 1330.11072
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
2015
Pairings in the arithmetic of elliptic curves. Zbl 1071.11028
Mazur, Barry; Rubin, Karl
2004
The work of Kolyvagin on the arithmetic of elliptic curves. Zbl 0702.14028
Rubin, Karl
1989
Tate-Shafarevich groups of elliptic curves with complex multiplication. Zbl 0753.14026
Rubin, Karl
1989
Diophantine stability. Zbl 06924832
Mazur, Barry; Rubin, Karl; Larsen, Michael
2018
Controlling Selmer groups in the higher core rank case. Zbl 1411.11065
Mazur, Barry; Rubin, Karl
2016
Refined class number formulas for $$\mathbb{G}_m$$. Zbl 1414.11155
Mazur, Barry; Rubin, Karl
2016
Selmer companion curves. Zbl 1316.11047
Mazur, Barry; Rubin, Karl
2015
Erratum to: “The spin of prime ideals”. Zbl 1330.11072
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
2015
A Markov model for Selmer ranks in families of twists. Zbl 1316.11045
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
2014
On elliptic curves with an isogeny of degree 7. Zbl 1296.11063
Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M.
2014
Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063
Klagsbrun, Zev; Mazur, Barry; Rubin, Karl
2013
The spin of prime ideals. Zbl 1296.11150
Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K.
2013
Finding composite order ordinary elliptic curves using the Cocks-Pinch method. Zbl 1217.11061
Boneh, D.; Rubin, K.; Silverberg, A.
2011
Refined class number formulas and Kolyvagin systems. Zbl 1225.11144
Mazur, Barry; Rubin, Karl
2011
Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075
Mazur, B.; Rubin, K.
2010
Choosing the correct elliptic curve in the CM method. Zbl 1213.11127
Rubin, K.; Silverberg, A.
2010
Point counting on reductions of CM elliptic curves. Zbl 1194.11068
Rubin, K.; Silverberg, A.
2009
Using abelian varieties to improve pairing-based cryptography. Zbl 1170.94013
Rubin, K.; Silverberg, A.
2009
Compression in finite fields and torus-based cryptography. Zbl 1211.94036
Rubin, K.; Silverberg, A.
2008
Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023
Mazur, Barry; Rubin, Karl
2008
Finding large Selmer rank via an arithmetic theory of local constants. Zbl 1219.11084
Mazur, Barry; Rubin, Karl
2007
Twisting commutative algebraic groups. Zbl 1128.14034
Mazur, B.; Rubin, K.; Silverberg, A.
2007
Twists of elliptic curves of rank at least four. Zbl 1213.11122
Rubin, K.; Silverberg, A.
2007
Fudge factors in the Birch and Swinnerton-Dyer conjecture. Zbl 1213.11137
Rubin, Karl
2007
Practical cryptography in high dimensional tori. Zbl 1137.94362
van Dijk, Marten; Granger, Robert; Page, Dan; Rubin, Karl; Silverberg, Alice; Stam, Martijn; Woodruff, David
2005
Organizing the arithmetic of elliptic curves. Zbl 1122.11038
Mazur, Barry; Rubin, Karl
2005
Finding large Selmer groups. Zbl 1211.11068
Mazur, Barry; Rubin, Karl
2005
Kolyvagin systems. Zbl 1055.11041
Mazur, Barry; Rubin, Karl
2004
The main conjecture for CM elliptic curves at supersingular primes. Zbl 1082.11035
Pollack, Robert; Rubin, Karl
2004
Using primitive subgroups to do more with fewer bits. Zbl 1125.94328
Rubin, K.; Silverberg, A.
2004
Algebraic tori in cryptography. Zbl 1073.94014
Rubin, Karl; Silverberg, Alice
2004
Pairings in the arithmetic of elliptic curves. Zbl 1071.11028
Mazur, Barry; Rubin, Karl
2004
Torus-based cryptography. Zbl 1122.94400
Rubin, Karl; Silverberg, Alice
2003
Studying the growth of Mordell-Weil. Zbl 1142.11339
Mazur, Barry; Rubin, Karl
2003
Ranks of elliptic curves. Zbl 1052.11039
Rubin, Karl; Silverberg, Alice
2002
Supersingular Abelian varieties in cryptology. Zbl 1026.94540
Rubin, Karl; Silverberg, Alice
2002
Elliptic curves and class field theory. Zbl 1036.11023
Mazur, Barry; Rubin, Karl
2002
Rank frequencies for quadratic twists of elliptic curves. Zbl 1035.11025
Rubin, Karl; Silverberg, Alice
2001
Mod $$2$$ representations of elliptic curves. Zbl 1030.11025
Rubin, K.; Silverberg, A.
2001
Arithmetic algebraic geometry. Expanded lectures delivered at the graduate summer school of the Institute for Advanced Study/Park City Mathematics Institute, Park City, UT, USA, June 20–July 10, 1999. Zbl 0974.00034
2001
Euler systems. (Hermann Weyl lectures). Zbl 0977.11001
Rubin, Karl
2000
Ranks of elliptic curves in families of quadratic twists. Zbl 0959.11023
Rubin, Karl; Silverberg, Alice
2000
Swan modules and Hilbert-Speiser number fields. Zbl 0941.11044
Greither, Cornelius; Replogle, Daniel R.; Rubin, Karl; Srivastav, Anupam
1999
Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. Zbl 0991.11028
Rubin, Karl
1999
Mod 6 representations of elliptic curves. Zbl 0933.11031
Rubin, Karl; Silverberg, Alice
1999
Euler systems and modular elliptic curves. Zbl 0952.11016
Rubin, Karl
1998
Criteria for complete intersections. Zbl 0903.13003
De Smit, Bart; Rubin, Karl; Schoof, René
1997
Modularity of mod 5 representations. Zbl 0914.11030
Rubin, Karl
1997
A Stark conjecture “over $${\mathbb{Z}}$$” for abelian $$L$$-functions with multiple zeros. Zbl 0834.11044
Rubin, Karl
1996
Euler systems and exact formulas in number theory. Zbl 0871.11044
Rubin, K.
1996
Families of elliptic curves with constant $$\text{mod }p$$ representations. Zbl 0856.11027
Rubin, K.; Silverberg, A.
1995
More “Main Conjectures” for imaginary quadratic fields. Zbl 0809.11066
Rubin, Karl
1994
Abelian varieties, $$p$$-adic heights and derivatives. Zbl 0829.11034
Rubin, Karl
1994
$$p$$-adic variants of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. Zbl 0862.14014
Rubin, Karl
1994
A report on Wiles’ Cambridge lectures. Zbl 0924.11046
Rubin, K.; Silverberg, A.
1994
$$p$$-adic $$L$$-functions and rational points on elliptic curves with complex multiplication. Zbl 0770.11033
Rubin, Karl
1992
Stark units and Kolyvagin’s “Euler systems”. Zbl 0752.11045
Rubin, Karl
1992
The “main conjectures” of Iwasawa theory for imaginary quadratic fields. Zbl 0737.11030
Rubin, Karl
1991
The one-variable main conjecture for elliptic curves with complex multiplication. Zbl 0741.11028
Rubin, Karl
1991
Kolyvagin’s system of Gauss sums. Zbl 0727.11044
Rubin, Karl
1991
Cyclotomic fields. I and II. With an appendix by Karl Rubin: The main conjecture. Combined 2nd edition. Zbl 0704.11038
Lang, Serge
1990
The work of Kolyvagin on the arithmetic of elliptic curves. Zbl 0702.14028
Rubin, Karl
1989
Tate-Shafarevich groups of elliptic curves with complex multiplication. Zbl 0753.14026
Rubin, Karl
1989
On the main conjecture of Iwasawa theory for imaginary quadratic fields. Zbl 0673.12004
Rubin, Karl
1988
Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication. Zbl 0628.14018
Rubin, Karl
1987
Global units and ideal class groups. Zbl 0628.12007
Rubin, Karl
1987
Local units, elliptic units, Heegner points and elliptic curves. Zbl 0623.14006
Rubin, Karl
1987
Elliptic curves and $${\mathbb{Z}}_ p$$-extensions. Zbl 0599.14028
Rubin, Karl
1985
Congruences for special values of L-functions of elliptic curves with complex multiplication. Zbl 0513.14012
Rubin, Karl
1983
Mordell-Weil groups of elliptic curves over cyclotomic fields. Zbl 0519.14017
Rubin, Karl; Wiles, Andrew
1982
Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. Zbl 0506.14039
Rubin, Karl
1981
all top 5

### Cited by 557 Authors

 27 Rubin, Karl Cooper 17 Lei, Antonio 17 Mazur, Barry 13 Büyükboduk, Kâzim 10 Silverberg, Alice 9 Ichimura, Humio 8 Burns, David John 8 Castella, Francesc 8 Coates, John H. 7 Burungale, Ashay A. 7 Lozano-Robledo, Álvaro 7 Shlapentokh, Alexandra 6 Bertolini, Massimo 6 Greither, Cornelius 6 Loeffler, David 6 Replogle, Daniel R. 6 Solomon, David R. 6 Ramdorai, Sujatha 6 Wuthrich, Christian 5 Berger, Tobias 5 Hsieh, Ming-Lun 5 Klagsbrun, Zev 5 Klosin, Krzysztof 5 Longo, Matteo 5 Macias Castillo, Daniel 5 Ochiai, Tadashi 5 Sano, Takamichi 5 Sutherland, Andrew V. 4 Agboola, Adebisi 4 Bellaïche, Joël 4 Boxall, John L. 4 Çiperiani, Mirela 4 Dąbrowski, Andrzej Bogdan 4 Darmon, Henri René 4 Dokchitser, Tim 4 Fisher, Tom A. 4 Greenberg, Ralph 4 Guo, Li 4 Hida, Haruzo 4 Kim, Byoung Du 4 Kundu, Debanjana 4 Kurihara, Masato 4 Lim, Meng Fai 4 Milovic, Djordjo Z. 4 Murty, Maruti Ram 4 Najman, Filip 4 Oukhaba, Hassan 4 Perrin-Riou, Bernadette 4 Rohrlich, David E. 4 Seo, Soogil 4 Shekhar, Sudhanshu 4 Skinner, Christopher M. 4 Stein, William A. 4 Szymaszkiewicz, Lucjan 4 Tian, Ye 4 Tilouine, Jacques 4 Yu, Myungjun 4 Zerbes, Sarah Livia 3 All, Timothy 3 Bennett, Michael A. 3 Blinkiewicz, Dorota 3 Buckingham, Paul Richard 3 Byeon, Dongho 3 Česnavičius, Kęstutis 3 Chetty, Sunil 3 Choi, Junhwa 3 Conrad, Brian 3 Cornacchia, Pietro 3 Daniels, Harris B. 3 Dokchitser, Vladimir 3 Dujella, Andrej 3 Freeman, David Mandell 3 Galbraith, Steven D. 3 Gorla, Elisa 3 Guillevic, Aurore 3 Howard, Benjamin 3 Jeong, Keunyoung 3 Karabina, Koray 3 Kato, Kazuya 3 Kezuka, Yukako 3 Kim, Chan-Ho 3 Kobayashi, Shinichi 3 Lee, Jung-Jo 3 Li, Chao 3 Li, Yongxiong 3 Massierer, Maike 3 Mazigh, Youness 3 Miller, Steven J. 3 Naehrig, Michael 3 Nekovář, Jan 3 Ohshita, Tatsuya 3 Pasten, Hector V. 3 Popescu, Cristian D. 3 Roblot, Xavier-François 3 Sands, Jonathan W. 3 Tan, Ki-Seng 3 Trihan, Fabien 3 Vallières, Daniel 3 Venerucci, Rodolfo 3 Vigni, Stefano ...and 457 more Authors
all top 5

### Cited in 112 Serials

 78 Journal of Number Theory 38 Inventiones Mathematicae 23 Mathematics of Computation 23 Transactions of the American Mathematical Society 21 Compositio Mathematica 21 Journal de Théorie des Nombres de Bordeaux 20 Duke Mathematical Journal 18 Mathematische Annalen 17 Annales de l’Institut Fourier 17 International Journal of Number Theory 12 Journal für die Reine und Angewandte Mathematik 11 Acta Arithmetica 11 Mathematische Zeitschrift 10 Proceedings of the Japan Academy. Series A 8 Manuscripta Mathematica 8 Proceedings of the American Mathematical Society 8 Bulletin of the American Mathematical Society. New Series 8 Annales Mathématiques du Québec 7 Journal of Algebra 7 Annals of Mathematics. Second Series 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Rocky Mountain Journal of Mathematics 6 Advances in Mathematics 6 Functiones et Approximatio. Commentarii Mathematici 6 Journal of the Ramanujan Mathematical Society 6 Designs, Codes and Cryptography 6 Experimental Mathematics 6 Algebra & Number Theory 5 Israel Journal of Mathematics 5 Glasgow Mathematical Journal 5 Journal of Cryptology 5 LMS Journal of Computation and Mathematics 5 Journal of Mathematical Cryptology 5 Kyoto Journal of Mathematics 5 Forum of Mathematics, Sigma 4 Journal of Pure and Applied Algebra 4 Nagoya Mathematical Journal 4 Tokyo Journal of Mathematics 4 Journal of the American Mathematical Society 4 Finite Fields and their Applications 4 Selecta Mathematica. New Series 4 Acta Mathematica Sinica. English Series 4 Journal of the Institute of Mathematics of Jussieu 3 Canadian Journal of Mathematics 3 Publications Mathématiques 3 Proceedings of the London Mathematical Society. Third Series 3 Tohoku Mathematical Journal. Second Series 3 Revista Matemática Iberoamericana 3 Forum Mathematicum 3 Journal of Algebraic Geometry 3 Documenta Mathematica 3 The Ramanujan Journal 3 Advances in Mathematics of Communications 3 Research in Number Theory 2 Periodica Mathematica Hungarica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Archiv der Mathematik 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Journal of the Mathematical Society of Japan 2 Mathematische Nachrichten 2 Rendiconti del Seminario Matematico della Università di Padova 2 Geometric and Functional Analysis. GAFA 2 Applicable Algebra in Engineering, Communication and Computing 2 Journal of the European Mathematical Society (JEMS) 2 Milan Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Proceedings of the American Mathematical Society. Series B 1 International Journal of Modern Physics A 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Problems of Information Transmission 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Information Sciences 1 Journal of the Korean Mathematical Society 1 The Journal of Symbolic Logic 1 Kodai Mathematical Journal 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Theoretical Computer Science 1 Bulletin of the Korean Mathematical Society 1 Journal of Complexity 1 Science in China. Series A 1 Annals of Operations Research 1 The Journal of Geometric Analysis 1 Proceedings of the National Academy of Sciences of the United States of America 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Archive for Mathematical Logic 1 Indagationes Mathematicae. New Series 1 Annales Mathématiques Blaise Pascal 1 The Bulletin of Symbolic Logic ...and 12 more Serials
all top 5

### Cited in 29 Fields

 578 Number theory (11-XX) 184 Algebraic geometry (14-XX) 43 Information and communication theory, circuits (94-XX) 9 Group theory and generalizations (20-XX) 7 Mathematical logic and foundations (03-XX) 7 Field theory and polynomials (12-XX) 7 $$K$$-theory (19-XX) 5 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Quantum theory (81-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

### Wikidata Timeline

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