## Stoll, Michael

Compute Distance To:
 Author ID: stoll.michael Published as: Stoll, Michael; Stoll, M. Homepage: http://www.mathe2.uni-bayreuth.de/stoll/ External Links: MGP
 Documents Indexed: 72 Publications since 1992, including 3 Books Reviewing Activity: 60 Reviews Co-Authors: 45 Co-Authors with 41 Joint Publications 1,039 Co-Co-Authors
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### Co-Authors

 31 single-authored 6 Cremona, John E. 6 Poonen, Bjorn 5 Fisher, Tom A. 5 Siksek, Samir 4 Bruin, Nils 4 Schaefer, Edward F. 2 Geigant, Edith 2 Hutz, Benjamin 2 Müller, Jan Steffen 1 Bauer, Ingrid C. 1 Belabas, Karim 1 Beukers, Frits 1 Bruin, Peter 1 Bugeaud, Yann 1 DeMark, David 1 Derickx, Maarten 1 Faber, Xander 1 Flynn, Eugene Victor 1 Freitas, Nuno 1 Gaudry, Pierrick 1 Greenberg, Ralph 1 Hindes, Wade 1 Jones, Rafe 1 Keller, Timo 1 Kurz, Sascha 1 Leprévost, Franck 1 McCallum, William G. 1 Mignotte, Maurice 1 Miller, Robert L. 1 Misplon, Moses 1 Naskrȩcki, Bartosz 1 Rubin, Karl Cooper 1 Sawin, William F. 1 Schleicher, Dierk 1 Shusterman, Mark 1 Silverberg, Alice 1 Stein, William A. 1 Stoneman, Michael 1 Tengely, Szabolcs 1 van Luijk, Ronald M. 1 Walsh, Peter Gareth 1 Watkins, Mark James 1 Worthmann, Karl 1 Yang, Tonghai 1 Yuan, Pingzhi
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### Serials

 9 Acta Arithmetica 5 LMS Journal of Computation and Mathematics 4 Mathematics of Computation 4 Journal für die Reine und Angewandte Mathematik 4 Algebra & Number Theory 2 Archiv der Mathematik 2 Compositio Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Experimental Mathematics 2 Annals of Mathematics. Second Series 1 Journal of Mathematical Biology 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Mathematische Nachrichten 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Journal de Théorie des Nombres de Bordeaux 1 Electronic Journal of Differential Equations (EJDE) 1 The New York Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Number Theory 1 Bonner Mathematische Schriften 1 Panoramas et Synthèses 1 Groups, Geometry, and Dynamics 1 Forum of Mathematics, Sigma
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### Fields

 62 Number theory (11-XX) 47 Algebraic geometry (14-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Group theory and generalizations (20-XX) 3 Field theory and polynomials (12-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

59 Publications have been cited 670 times in 406 Documents Cited by Year
The Cassels-Tate pairing on polarized Abelian varieties. Zbl 1024.11040
Poonen, Bjorn; Stoll, Michael
1999
Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058
Stoll, Michael
2001
Twists of $$X(7)$$ and primitive solutions to $$x^2+y^3=z^7$$. Zbl 1124.11019
Poonen, Bjorn; Schaefer, Edward F.; Stoll, Michael
2007
The Mordell-Weil sieve: proving non-existence of rational points on curves. Zbl 1278.11069
Bruin, Nils; Stoll, Michael
2010
Two-cover descent on hyperelliptic curves. Zbl 1208.11078
Bruin, Nils; Stoll, Michael
2009
How to do a $$p$$-descent on an elliptic curve. Zbl 1119.11029
Schaefer, Edward F.; Stoll, Michael
2004
Finite descent obstructions and rational points on curves. Zbl 1167.11024
Stoll, Michael
2007
Rational 6-cycles under iteration of quadratic polynomials. Zbl 1222.11083
Stoll, Michael
2008
On the height constant for curves of genus two. II. Zbl 1139.11318
Stoll, Michael
2002
Galois group over $$\mathbb{Q}$$ of some iterated polynomials. Zbl 0758.11045
Stoll, Michael
1992
Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves. Zbl 1222.11073
Cremona, John E.; Fisher, Tom A.; Stoll, Michael
2010
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs
2008
Independence of rational points on twists of a given curve. Zbl 1128.11033
Stoll, Michael
2006
Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065
Bruin, Nils; Poonen, Bjorn; Stoll, Michael
2016
Explicit $$n$$-descent on elliptic curves. I: Algebra. Zbl 1242.11039
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2008
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
2001
Rational and transcendental growth series for the higher Heisenberg groups. Zbl 0869.20018
Stoll, Michael
1996
On the height constant for curves of genus two. Zbl 0932.11043
Stoll, Michael
1999
Deciding existence of rational points on curves: an experiment. Zbl 1218.11065
Bruin, Nils; Stoll, Michael
2008
Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073
Poonen, Bjorn; Stoll, Michael
2014
On the reduction theory of binary forms. Zbl 1153.11317
Stoll, Michael; Cremona, John E.
2003
Two simple 2-dimensional abelian varieties defined over $$\mathbb{Q}$$ with Mordell-Weil group of rank at least 19. Zbl 0859.11033
Stoll, Michael
1995
Rational points on curves. Zbl 1270.11030
Stoll, Michael
2011
A local-global principle for densities. Zbl 1024.11047
Poonen, Bjorn; Stoll, Michael
1999
Explicit isogeny descent on elliptic curves. Zbl 1305.11052
Miller, Robert L.; Stoll, Michael
2013
An explicit theory of heights for hyperelliptic Jacobians of genus three. Zbl 1406.14023
Stoll, Michael
2017
On the asymptotics of the growth of 2-step nilpotent groups. Zbl 0922.20038
Stoll, Michael
1998
Canonical heights on genus-2 Jacobians. Zbl 1383.11089
Müller, Jan Steffen; Stoll, Michael
2016
Minimal models for 2-coverings of elliptic curves. Zbl 1067.11031
Stoll, Michael; Cremona, John E.
2002
On the arithmetic of the curves $$y^2=x^l+A$$ and their Jacobians. Zbl 0902.11024
Stoll, Michael
1998
On the arithmetic of the curves $$y^2=x^l+A$$. II. Zbl 1004.11038
Stoll, Michael
2002
Diagonal genus 5 curves, elliptic curves over $$\mathbb{Q}(t)$$, and rational Diophantine quintuples. Zbl 1475.11048
Stoll, Michael
2019
Bifurcation analysis of an orientational aggregation model. Zbl 1048.92001
Geigant, Edith; Stoll, Michael
2003
Simultaneous torsion in the Legendre family. Zbl 1386.14122
Stoll, Michael
2017
Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank. Zbl 1428.11122
Stoll, Michael
2019
Chabauty without the Mordell-Weil group. Zbl 1425.11131
Stoll, Michael
2017
Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002
Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark
2012
On elliptic curves with an isogeny of degree 7. Zbl 1296.11063
Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M.
2014
Explicit $$n$$-descent on elliptic curves. II: Geometry. Zbl 1243.11068
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2009
Computing canonical heights on elliptic curves in quasi-linear time. Zbl 1372.11068
Müller, J. Steffen; Stoll, Michael
2016
Stability of peak solutions of a non-linear transport equation on the circle. Zbl 1256.35189
Geigant, Edith; Stoll, Michael
2012
Explicit Selmer groups for cyclic covers of $$\mathbb {P}^1$$. Zbl 1316.11056
Stoll, Michael; van Luijk, Ronald
2013
Irreducibility of polynomials with a large gap. Zbl 1442.11140
Sawin, Will; Shusterman, Mark; Stoll, Michael
2020
Partial descent on hyperelliptic curves and the generalized Fermat equation $$x^3+y^4+z^5=0$$. Zbl 1269.11061
Siksek, Samir; Stoll, Michael
2012
On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019
Faber, Xander; Hutz, Benjamin; Stoll, Michael
2011
Explicit $$n$$-descent on elliptic curves. III: Algorithms. Zbl 1308.11058
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2015
Descent on elliptic curves. Zbl 1300.11066
Stoll, Michael
2012
Asymptotics of some number theoretic functions and an application to the growth of nilpotent groups. Zbl 1112.11307
Stoll, Michael
1994
Regular geodesic languages for 2-step nilpotent groups. Zbl 0854.20043
Stoll, Michael
1995
Bounds for the length of recurrence relations for convolutions of P-recursive sequences. Zbl 0880.11017
Stoll, Michael
1997
An introduction to Conway’s games and numbers. Zbl 1258.91044
Schleicher, Dierk; Stoll, Michael
2006
On the Diophantine equation $$X^2-(2^{2m}+1)Y^4=-2^{2m}$$. Zbl 1275.11057
Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi
2009
Reduction theory of point clusters in projective space. Zbl 1242.11027
Stoll, Michael
2011
On the $$L$$-function of the curves $$y^2=x^5+A$$. Zbl 1062.11040
Stoll, Michael; Yang, Tonghai
2003
The generalized Fermat equation with exponents $$2,3,n$$. Zbl 1450.11024
Freitas, Nuno; Naskręcki, Bartosz; Stoll, Michael
2020
The generalised Fermat equation $$x^{2} + y^{3} = z^{15}$$. Zbl 1303.11074
Siksek, Samir; Stoll, Michael
2014
The yoga of the Cassels-Tate pairing. Zbl 1278.11062
Fisher, Tom; Schaefer, Edward F.; Stoll, Michael
2010
How to solve a Diophantine equation. Zbl 1318.11046
Stoll, Michael
2011
Eventually stable quadratic polynomials over $$\mathbb{Q}$$. Zbl 1446.37100
Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael
2020
Irreducibility of polynomials with a large gap. Zbl 1442.11140
Sawin, Will; Shusterman, Mark; Stoll, Michael
2020
The generalized Fermat equation with exponents $$2,3,n$$. Zbl 1450.11024
Freitas, Nuno; Naskręcki, Bartosz; Stoll, Michael
2020
Eventually stable quadratic polynomials over $$\mathbb{Q}$$. Zbl 1446.37100
Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael
2020
Diagonal genus 5 curves, elliptic curves over $$\mathbb{Q}(t)$$, and rational Diophantine quintuples. Zbl 1475.11048
Stoll, Michael
2019
Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank. Zbl 1428.11122
Stoll, Michael
2019
An explicit theory of heights for hyperelliptic Jacobians of genus three. Zbl 1406.14023
Stoll, Michael
2017
Simultaneous torsion in the Legendre family. Zbl 1386.14122
Stoll, Michael
2017
Chabauty without the Mordell-Weil group. Zbl 1425.11131
Stoll, Michael
2017
Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065
Bruin, Nils; Poonen, Bjorn; Stoll, Michael
2016
Canonical heights on genus-2 Jacobians. Zbl 1383.11089
Müller, Jan Steffen; Stoll, Michael
2016
Computing canonical heights on elliptic curves in quasi-linear time. Zbl 1372.11068
Müller, J. Steffen; Stoll, Michael
2016
Explicit $$n$$-descent on elliptic curves. III: Algorithms. Zbl 1308.11058
Cremona, J. E.; Fisher, T. A.; O&rsquo;Neil, C.; Simon, D.; Stoll, M.
2015
Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073
Poonen, Bjorn; Stoll, Michael
2014
On elliptic curves with an isogeny of degree 7. Zbl 1296.11063
Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M.
2014
The generalised Fermat equation $$x^{2} + y^{3} = z^{15}$$. Zbl 1303.11074
Siksek, Samir; Stoll, Michael
2014
Explicit isogeny descent on elliptic curves. Zbl 1305.11052
Miller, Robert L.; Stoll, Michael
2013
Explicit Selmer groups for cyclic covers of $$\mathbb {P}^1$$. Zbl 1316.11056
Stoll, Michael; van Luijk, Ronald
2013
Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002
Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark
2012
Stability of peak solutions of a non-linear transport equation on the circle. Zbl 1256.35189
Geigant, Edith; Stoll, Michael
2012
Partial descent on hyperelliptic curves and the generalized Fermat equation $$x^3+y^4+z^5=0$$. Zbl 1269.11061
Siksek, Samir; Stoll, Michael
2012
Descent on elliptic curves. Zbl 1300.11066
Stoll, Michael
2012
Rational points on curves. Zbl 1270.11030
Stoll, Michael
2011
On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019
Faber, Xander; Hutz, Benjamin; Stoll, Michael
2011
Reduction theory of point clusters in projective space. Zbl 1242.11027
Stoll, Michael
2011
How to solve a Diophantine equation. Zbl 1318.11046
Stoll, Michael
2011
The Mordell-Weil sieve: proving non-existence of rational points on curves. Zbl 1278.11069
Bruin, Nils; Stoll, Michael
2010
Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves. Zbl 1222.11073
Cremona, John E.; Fisher, Tom A.; Stoll, Michael
2010
The yoga of the Cassels-Tate pairing. Zbl 1278.11062
Fisher, Tom; Schaefer, Edward F.; Stoll, Michael
2010
Two-cover descent on hyperelliptic curves. Zbl 1208.11078
Bruin, Nils; Stoll, Michael
2009
Explicit $$n$$-descent on elliptic curves. II: Geometry. Zbl 1243.11068
Cremona, J. E.; Fisher, T. A.; O&rsquo;Neil, C.; Simon, D.; Stoll, M.
2009
On the Diophantine equation $$X^2-(2^{2m}+1)Y^4=-2^{2m}$$. Zbl 1275.11057
Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi
2009
Rational 6-cycles under iteration of quadratic polynomials. Zbl 1222.11083
Stoll, Michael
2008
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs
2008
Explicit $$n$$-descent on elliptic curves. I: Algebra. Zbl 1242.11039
Cremona, J. E.; Fisher, T. A.; O&rsquo;Neil, C.; Simon, D.; Stoll, M.
2008
Deciding existence of rational points on curves: an experiment. Zbl 1218.11065
Bruin, Nils; Stoll, Michael
2008
Twists of $$X(7)$$ and primitive solutions to $$x^2+y^3=z^7$$. Zbl 1124.11019
Poonen, Bjorn; Schaefer, Edward F.; Stoll, Michael
2007
Finite descent obstructions and rational points on curves. Zbl 1167.11024
Stoll, Michael
2007
Independence of rational points on twists of a given curve. Zbl 1128.11033
Stoll, Michael
2006
An introduction to Conway’s games and numbers. Zbl 1258.91044
Schleicher, Dierk; Stoll, Michael
2006
How to do a $$p$$-descent on an elliptic curve. Zbl 1119.11029
Schaefer, Edward F.; Stoll, Michael
2004
On the reduction theory of binary forms. Zbl 1153.11317
Stoll, Michael; Cremona, John E.
2003
Bifurcation analysis of an orientational aggregation model. Zbl 1048.92001
Geigant, Edith; Stoll, Michael
2003
On the $$L$$-function of the curves $$y^2=x^5+A$$. Zbl 1062.11040
Stoll, Michael; Yang, Tonghai
2003
On the height constant for curves of genus two. II. Zbl 1139.11318
Stoll, Michael
2002
Minimal models for 2-coverings of elliptic curves. Zbl 1067.11031
Stoll, Michael; Cremona, John E.
2002
On the arithmetic of the curves $$y^2=x^l+A$$. II. Zbl 1004.11038
Stoll, Michael
2002
Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058
Stoll, Michael
2001
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
2001
The Cassels-Tate pairing on polarized Abelian varieties. Zbl 1024.11040
Poonen, Bjorn; Stoll, Michael
1999
On the height constant for curves of genus two. Zbl 0932.11043
Stoll, Michael
1999
A local-global principle for densities. Zbl 1024.11047
Poonen, Bjorn; Stoll, Michael
1999
On the asymptotics of the growth of 2-step nilpotent groups. Zbl 0922.20038
Stoll, Michael
1998
On the arithmetic of the curves $$y^2=x^l+A$$ and their Jacobians. Zbl 0902.11024
Stoll, Michael
1998
Bounds for the length of recurrence relations for convolutions of P-recursive sequences. Zbl 0880.11017
Stoll, Michael
1997
Rational and transcendental growth series for the higher Heisenberg groups. Zbl 0869.20018
Stoll, Michael
1996
Two simple 2-dimensional abelian varieties defined over $$\mathbb{Q}$$ with Mordell-Weil group of rank at least 19. Zbl 0859.11033
Stoll, Michael
1995
Regular geodesic languages for 2-step nilpotent groups. Zbl 0854.20043
Stoll, Michael
1995
Asymptotics of some number theoretic functions and an application to the growth of nilpotent groups. Zbl 1112.11307
Stoll, Michael
1994
Galois group over $$\mathbb{Q}$$ of some iterated polynomials. Zbl 0758.11045
Stoll, Michael
1992
all top 5

### Cited by 435 Authors

 26 Stoll, Michael 20 Fisher, Tom A. 11 Flynn, Eugene Victor 11 Müller, Jan Steffen 10 Balakrishnan, Jennifer S. 10 Hindes, Wade 10 Poonen, Bjorn 9 Creutz, Brendan 9 Siksek, Samir 9 Tengely, Szabolcs 8 Bruin, Nils 7 Bennett, Michael A. 7 Schaefer, Edward F. 6 Bhargava, Manjul 6 Cremona, John E. 6 Sadek, Mohammad 5 Doyle, John R. 5 Dujella, Andrej 5 Hutz, Benjamin 5 Shankar, Arul 5 Ulas, Maciej 4 Dokchitser, Tim 4 Freitas, Nuno 4 Ho, Wei 4 Ishitsuka, Yasuhiro 4 Jones, Rafe 4 Krumm, David 4 Mazur, Barry 4 Micheli, Giacomo 4 Pintér, Ákos 4 Stix, Jakob 4 Tucker, Thomas John 4 Voloch, José Felipe 3 Beshaj, Lubjana 3 Besser, Amnon 3 Bianchi, Francesca 3 Česnavičius, Kęstutis 3 Dahmen, Sander R. 3 Dogra, Netan 3 Gallegos-Ruiz, Homero R. 3 González-Jiménez, Enrique 3 Hajdu, Lajos 3 Hirakawa, Yoshinosuke 3 Jedrzejak, Tomasz 3 Lorenzo García, Elisa 3 Miller, Robert L. 3 Najman, Filip 3 Ozman, Ekin 3 Park, Jennifer 3 Patel, Vandita 3 Sharif, Shahed 3 Shaska, Tanush 3 Shparlinski, Igor E. 3 Stein, William A. 3 Stevens, Angela 3 Thorne, Jack A. 3 Viray, Bianca 3 Wang, Xiaoheng 3 Xarles, Xavier 2 Argáez-García, Alejandro 2 Baker, Matthew H. 2 Bandini, Andrea 2 Boston, Nigel 2 Box, Josha 2 Bridy, Andrew 2 Bright, M. J. 2 Browning, Timothy Daniel 2 Bruin, Peter 2 Canci, Jung Kyu 2 Chen, Imin 2 Çiperiani, Mirela 2 Clark, Peter Louis 2 Daniels, Harris B. 2 Derickx, Maarten 2 Dokchitser, Vladimir 2 Ejder, Özlem 2 Faber, Xander 2 Ferraguti, Andrea 2 González, Josep R. 2 Harari, David 2 Harpaz, Yonatan 2 Hashimoto, Sachi 2 Honigs, Katrina 2 Ingram, Patrick 2 Ito, Tetsushi 2 Ivanyos, Gábor 2 Kazalicki, Matija 2 Kirst, Peter 2 Kloosterman, Remke Nanne 2 Kutas, Péter 2 Lachowicz, Mirosław 2 Le Donne, Enrico 2 Leprévost, Franck 2 Li, Hua-Chieh 2 Liu, Qing 2 Logan, Adam 2 Lombardo, Davide M. 2 Lorenzini, Dino J. 2 Loughran, Daniel 2 Luca, Florian ...and 335 more Authors
all top 5

### Cited in 115 Serials

 44 Journal of Number Theory 29 Mathematics of Computation 19 International Journal of Number Theory 15 Acta Arithmetica 13 Transactions of the American Mathematical Society 13 Journal de Théorie des Nombres de Bordeaux 13 LMS Journal of Computation and Mathematics 13 Research in Number Theory 11 Compositio Mathematica 10 Journal of Algebra 10 Annals of Mathematics. Second Series 9 Proceedings of the American Mathematical Society 8 Mathematical Proceedings of the Cambridge Philosophical Society 7 Manuscripta Mathematica 7 Mathematische Annalen 6 Functiones et Approximatio. Commentarii Mathematici 5 Archiv der Mathematik 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 Journal of Symbolic Computation 4 Israel Journal of Mathematics 4 Rocky Mountain Journal of Mathematics 4 Journal of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 3 Advances in Mathematics 3 Geometriae Dedicata 3 Journal für die Reine und Angewandte Mathematik 3 Journal of the Ramanujan Mathematical Society 3 The Ramanujan Journal 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Forum of Mathematics, Sigma 2 Periodica Mathematica Hungarica 2 Illinois Journal of Mathematics 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Proceedings of the Japan Academy. Series A 2 Revista Matemática Iberoamericana 2 SIAM Journal on Discrete Mathematics 2 International Journal of Algebra and Computation 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Indagationes Mathematicae. New Series 2 Experimental Mathematics 2 The New York Journal of Mathematics 2 Algebra & Number Theory 2 Albanian Journal of Mathematics 2 Research in the Mathematical Sciences 1 International Journal of Modern Physics B 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 The Journal of Symbolic Logic 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Theoretical Computer Science 1 Tokyo Journal of Mathematics 1 European Journal of Combinatorics 1 Ergodic Theory and Dynamical Systems 1 Discrete & Computational Geometry 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Journal of Global Optimization 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Glasnik Matematički. Serija III 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Knot Theory and its Ramifications 1 Selecta Mathematica. New Series 1 The Bulletin of Symbolic Logic 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Transformation Groups 1 Journal of Integer Sequences 1 Journal of Dynamical and Control Systems 1 Lobachevskii Journal of Mathematics 1 Integers 1 Foundations of Computational Mathematics ...and 15 more Serials
all top 5

### Cited in 38 Fields

 333 Number theory (11-XX) 199 Algebraic geometry (14-XX) 50 Dynamical systems and ergodic theory (37-XX) 25 Group theory and generalizations (20-XX) 16 Field theory and polynomials (12-XX) 9 Computer science (68-XX) 8 Combinatorics (05-XX) 8 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 6 Partial differential equations (35-XX) 6 Manifolds and cell complexes (57-XX) 6 Probability theory and stochastic processes (60-XX) 6 Biology and other natural sciences (92-XX) 4 Mathematical logic and foundations (03-XX) 4 Differential geometry (53-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)