Edit Profile (opens in new tab) Stoll, Michael Co-Author Distance Author ID: stoll.michael Published as: Stoll, Michael; Stoll, M. Homepage: http://www.mathe2.uni-bayreuth.de/stoll/ External Links: MGP Documents Indexed: 85 Publications since 1992, including 3 Books and 8 Additional arXiv Preprints Reviewing Activity: 60 Reviews Co-Authors: 61 Co-Authors with 51 Joint Publications 1,614 Co-Co-Authors all top 5 Co-Authors 34 single-authored 7 Poonen, Bjorn 6 Cremona, John E. 5 Fisher, Tom A. 5 Siksek, Samir 4 Bruin, Nils 4 Schaefer, Edward F. 3 O’Neil, Catherine 3 Simon, Denis 2 Derickx, Maarten 2 Fu, Hang 2 Geigant, Edith 2 Hutz, Benjamin 2 Keller, Timo 2 Kurz, Sascha 2 Müller, Jan Steffen 2 Schleicher, Dierk 2 Stein, William A. 1 Bauer, Ingrid C. 1 Belabas, Karim 1 Berg, Jennifer 1 Beukers, Frits 1 Bruin, Peter 1 Bugeaud, Yann 1 DeMark, David 1 Elsenhans, Andreas-Stephan 1 Faber, Xander 1 Flynn, Eugene Victor 1 Freitas, Nuno 1 Gaudry, Pierrick 1 Greenberg, Ralph 1 Hindes, Wade 1 Jones, Rafe 1 Kamienny, Sheldon 1 Kiermaier, Michael 1 Leprévost, Franck 1 McCallum, William G. 1 Mignotte, Maurice 1 Miller, Robert L. 1 Misplon, Moses 1 Naskrȩcki, Bartosz 1 Pagano, Carlo 1 Reinke, Bernhard 1 Rubin, Karl Cooper 1 Sawin, William F. 1 Shukla, Himanshu 1 Shusterman, Mark 1 Silverberg, Alice 1 Solé, Patrick 1 Stoneman, Michael 1 Tengely, Szabolcs 1 Testa, Damiano 1 Triantafillou, Nicholas George 1 van Luijk, Ronald M. 1 Viray, Bianca 1 Vogt, Isabel 1 Walsh, Peter Gareth 1 Wassermann, Alfred 1 Watkins, Mark James 1 Worthmann, Karl 1 Yang, Tonghai 1 Yuan, Pingzhi all top 5 Serials 9 Acta Arithmetica 6 Mathematics of Computation 5 LMS Journal of Computation and Mathematics 5 Algebra & Number Theory 4 Journal für die Reine und Angewandte Mathematik 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 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Designs, Codes and Cryptography 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 all top 5 Fields 72 Number theory (11-XX) 56 Algebraic geometry (14-XX) 7 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 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 64 Publications have been cited 898 times in 546 Documents Cited by ▼ Year ▼ The Cassels-Tate pairing on polarized Abelian varieties. Zbl 1024.11040 Poonen, Bjorn; Stoll, Michael 76 1999 Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058 Stoll, Michael 62 2001 Finite descent obstructions and rational points on curves. Zbl 1167.11024 Stoll, Michael 46 2007 The Mordell-Weil sieve: proving non-existence of rational points on curves. Zbl 1278.11069 Bruin, Nils; Stoll, Michael 44 2010 Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\). Zbl 1124.11019 Poonen, Bjorn; Schaefer, Edward F.; Stoll, Michael 40 2007 Two-cover descent on hyperelliptic curves. Zbl 1208.11078 Bruin, Nils; Stoll, Michael 36 2009 How to do a \(p\)-descent on an elliptic curve. Zbl 1119.11029 Schaefer, Edward F.; Stoll, Michael 36 2004 Rational 6-cycles under iteration of quadratic polynomials. Zbl 1222.11083 Stoll, Michael 33 2008 Galois group over \(\mathbb{Q}\) of some iterated polynomials. Zbl 0758.11045 Stoll, Michael 32 1992 Independence of rational points on twists of a given curve. Zbl 1128.11033 Stoll, Michael 29 2006 Explicit \(n\)-descent on elliptic curves. I: Algebra. Zbl 1242.11039 Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 27 2008 Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves. Zbl 1222.11073 Cremona, John E.; Fisher, Tom A.; Stoll, Michael 26 2010 On the height constant for curves of genus two. II. Zbl 1139.11318 Stoll, Michael 25 2002 Integral points on hyperelliptic curves. Zbl 1168.11026 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 24 2008 Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065 Bruin, Nils; Poonen, Bjorn; Stoll, Michael 23 2016 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 20 2001 Rational and transcendental growth series for the higher Heisenberg groups. Zbl 0869.20018 Stoll, Michael 20 1996 Torsion points on elliptic curves over number fields of small degree. Zbl 07669194 Derickx, Maarten; Kamienny, Sheldon; Stein, William; Stoll, Michael 17 2023 On the height constant for curves of genus two. Zbl 0932.11043 Stoll, Michael 15 1999 Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073 Poonen, Bjorn; Stoll, Michael 15 2014 Deciding existence of rational points on curves: an experiment. Zbl 1218.11065 Bruin, Nils; Stoll, Michael 15 2008 On the reduction theory of binary forms. Zbl 1153.11317 Stoll, Michael; Cremona, John E. 14 2003 A local-global principle for densities. Zbl 1024.11047 Poonen, Bjorn; Stoll, Michael 13 1999 Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank. Zbl 1428.11122 Stoll, Michael 12 2019 Diagonal genus 5 curves, elliptic curves over \(\mathbb{Q}(t)\), and rational Diophantine quintuples. Zbl 1475.11048 Stoll, Michael 12 2019 Canonical heights on genus-2 Jacobians. Zbl 1383.11089 Müller, Jan Steffen; Stoll, Michael 10 2016 Two simple 2-dimensional abelian varieties defined over \(\mathbb{Q}\) with Mordell-Weil group of rank at least 19. Zbl 0859.11033 Stoll, Michael 10 1995 Rational points on curves. Zbl 1270.11030 Stoll, Michael 10 2011 On elliptic curves with an isogeny of degree 7. Zbl 1296.11063 Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M. 9 2014 An explicit theory of heights for hyperelliptic Jacobians of genus three. Zbl 1406.14023 Stoll, Michael 9 2017 On the arithmetic of the curves \(y^2=x^l+A\) and their Jacobians. Zbl 0902.11024 Stoll, Michael 9 1998 Explicit \(n\)-descent on elliptic curves. II: Geometry. Zbl 1243.11068 Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 9 2009 On the arithmetic of the curves \(y^2=x^l+A\). II. Zbl 1004.11038 Stoll, Michael 8 2002 On the asymptotics of the growth of 2-step nilpotent groups. Zbl 0922.20038 Stoll, Michael 8 1998 Simultaneous torsion in the Legendre family. Zbl 1386.14122 Stoll, Michael 8 2017 Explicit \(n\)-descent on elliptic curves. III: Algorithms. Zbl 1308.11058 Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 8 2015 Explicit isogeny descent on elliptic curves. Zbl 1305.11052 Miller, Robert L.; Stoll, Michael 8 2013 Minimal models for 2-coverings of elliptic curves. Zbl 1067.11031 Stoll, Michael; Cremona, John E. 7 2002 Bifurcation analysis of an orientational aggregation model. Zbl 1048.92001 Geigant, Edith; Stoll, Michael 6 2003 Chabauty without the Mordell-Weil group. Zbl 1425.11131 Stoll, Michael 5 2017 Irreducibility of polynomials with a large gap. Zbl 1442.11140 Sawin, Will; Shusterman, Mark; Stoll, Michael 5 2020 Computing canonical heights on elliptic curves in quasi-linear time. Zbl 1372.11068 Müller, J. Steffen; Stoll, Michael 4 2016 Stability of peak solutions of a non-linear transport equation on the circle. Zbl 1256.35189 Geigant, Edith; Stoll, Michael 4 2012 The generalized Fermat equation with exponents \(2,3,n\). Zbl 1450.11024 Freitas, Nuno; Naskręcki, Bartosz; Stoll, Michael 4 2020 Explicit Selmer groups for cyclic covers of \(\mathbb {P}^1\). Zbl 1316.11056 Stoll, Michael; van Luijk, Ronald 4 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 4 2012 An introduction to Conway’s games and numbers. Zbl 1258.91044 Schleicher, Dierk; Stoll, Michael 4 2006 On the \(L\)-function of the curves \(y^2=x^5+A\). Zbl 1062.11040 Stoll, Michael; Yang, Tonghai 3 2003 The yoga of the Cassels-Tate pairing. Zbl 1278.11062 Fisher, Tom; Schaefer, Edward F.; Stoll, Michael 3 2010 On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019 Faber, Xander; Hutz, Benjamin; Stoll, Michael 3 2011 Partial descent on hyperelliptic curves and the generalized Fermat equation \(x^3+y^4+z^5=0\). Zbl 1269.11061 Siksek, Samir; Stoll, Michael 3 2012 Reduction theory of point clusters in projective space. Zbl 1242.11027 Stoll, Michael 3 2011 Descent on elliptic curves. Zbl 1300.11066 Stoll, Michael 2 2012 Bounds for the length of recurrence relations for convolutions of P-recursive sequences. Zbl 0880.11017 Stoll, Michael 2 1997 Asymptotics of some number theoretic functions and an application to the growth of nilpotent groups. Zbl 1112.11307 Stoll, Michael 2 1994 Regular geodesic languages for 2-step nilpotent groups. Zbl 0854.20043 Stoll, Michael 2 1995 On the Diophantine equation \(X^2-(2^{2m}+1)Y^4=-2^{2m}\). Zbl 1275.11057 Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi 2 2009 Eventually stable quadratic polynomials over \(\mathbb{Q}\). Zbl 1446.37100 Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael 2 2020 The generalised Fermat equation \(x^{2} + y^{3} = z^{15}\). Zbl 1303.11074 Siksek, Samir; Stoll, Michael 1 2014 Smallest representatives of \(\operatorname{SL}(2,\mathbb{Z})\)-orbits of binary forms and endomorphisms of \(\mathbb{P}^1\). Zbl 1419.37091 Hutz, Benjamin; Stoll, Michael 1 2019 How to solve a Diophantine equation. Zbl 1318.11046 Stoll, Michael 1 2011 On the number of rational squares at fixed distance from a fifth power. Zbl 1162.11326 Stoll, Michael 1 2006 The Weierstrass-Durand-Kerner root finder is not generally convergent. Zbl 1514.65057 Reinke, Bernhard; Schleicher, Dierk; Stoll, Michael 1 2023 On a problem of Hajdu and Tengely. Zbl 1257.11033 Siksek, Samir; Stoll, Michael 1 2010 Torsion points on elliptic curves over number fields of small degree. Zbl 07669194 Derickx, Maarten; Kamienny, Sheldon; Stein, William; Stoll, Michael 17 2023 The Weierstrass-Durand-Kerner root finder is not generally convergent. Zbl 1514.65057 Reinke, Bernhard; Schleicher, Dierk; Stoll, Michael 1 2023 Irreducibility of polynomials with a large gap. Zbl 1442.11140 Sawin, Will; Shusterman, Mark; Stoll, Michael 5 2020 The generalized Fermat equation with exponents \(2,3,n\). Zbl 1450.11024 Freitas, Nuno; Naskręcki, Bartosz; Stoll, Michael 4 2020 Eventually stable quadratic polynomials over \(\mathbb{Q}\). Zbl 1446.37100 Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael 2 2020 Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank. Zbl 1428.11122 Stoll, Michael 12 2019 Diagonal genus 5 curves, elliptic curves over \(\mathbb{Q}(t)\), and rational Diophantine quintuples. Zbl 1475.11048 Stoll, Michael 12 2019 Smallest representatives of \(\operatorname{SL}(2,\mathbb{Z})\)-orbits of binary forms and endomorphisms of \(\mathbb{P}^1\). Zbl 1419.37091 Hutz, Benjamin; Stoll, Michael 1 2019 An explicit theory of heights for hyperelliptic Jacobians of genus three. Zbl 1406.14023 Stoll, Michael 9 2017 Simultaneous torsion in the Legendre family. Zbl 1386.14122 Stoll, Michael 8 2017 Chabauty without the Mordell-Weil group. Zbl 1425.11131 Stoll, Michael 5 2017 Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065 Bruin, Nils; Poonen, Bjorn; Stoll, Michael 23 2016 Canonical heights on genus-2 Jacobians. Zbl 1383.11089 Müller, Jan Steffen; Stoll, Michael 10 2016 Computing canonical heights on elliptic curves in quasi-linear time. Zbl 1372.11068 Müller, J. Steffen; Stoll, Michael 4 2016 Explicit \(n\)-descent on elliptic curves. III: Algorithms. Zbl 1308.11058 Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 8 2015 Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073 Poonen, Bjorn; Stoll, Michael 15 2014 On elliptic curves with an isogeny of degree 7. Zbl 1296.11063 Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M. 9 2014 The generalised Fermat equation \(x^{2} + y^{3} = z^{15}\). Zbl 1303.11074 Siksek, Samir; Stoll, Michael 1 2014 Explicit isogeny descent on elliptic curves. Zbl 1305.11052 Miller, Robert L.; Stoll, Michael 8 2013 Explicit Selmer groups for cyclic covers of \(\mathbb {P}^1\). Zbl 1316.11056 Stoll, Michael; van Luijk, Ronald 4 2013 Stability of peak solutions of a non-linear transport equation on the circle. Zbl 1256.35189 Geigant, Edith; Stoll, Michael 4 2012 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 4 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 3 2012 Descent on elliptic curves. Zbl 1300.11066 Stoll, Michael 2 2012 Rational points on curves. Zbl 1270.11030 Stoll, Michael 10 2011 On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019 Faber, Xander; Hutz, Benjamin; Stoll, Michael 3 2011 Reduction theory of point clusters in projective space. Zbl 1242.11027 Stoll, Michael 3 2011 How to solve a Diophantine equation. Zbl 1318.11046 Stoll, Michael 1 2011 The Mordell-Weil sieve: proving non-existence of rational points on curves. Zbl 1278.11069 Bruin, Nils; Stoll, Michael 44 2010 Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves. Zbl 1222.11073 Cremona, John E.; Fisher, Tom A.; Stoll, Michael 26 2010 The yoga of the Cassels-Tate pairing. Zbl 1278.11062 Fisher, Tom; Schaefer, Edward F.; Stoll, Michael 3 2010 On a problem of Hajdu and Tengely. Zbl 1257.11033 Siksek, Samir; Stoll, Michael 1 2010 Two-cover descent on hyperelliptic curves. Zbl 1208.11078 Bruin, Nils; Stoll, Michael 36 2009 Explicit \(n\)-descent on elliptic curves. II: Geometry. Zbl 1243.11068 Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 9 2009 On the Diophantine equation \(X^2-(2^{2m}+1)Y^4=-2^{2m}\). Zbl 1275.11057 Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi 2 2009 Rational 6-cycles under iteration of quadratic polynomials. Zbl 1222.11083 Stoll, Michael 33 2008 Explicit \(n\)-descent on elliptic curves. I: Algebra. Zbl 1242.11039 Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 27 2008 Integral points on hyperelliptic curves. Zbl 1168.11026 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 24 2008 Deciding existence of rational points on curves: an experiment. Zbl 1218.11065 Bruin, Nils; Stoll, Michael 15 2008 Finite descent obstructions and rational points on curves. Zbl 1167.11024 Stoll, Michael 46 2007 Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\). Zbl 1124.11019 Poonen, Bjorn; Schaefer, Edward F.; Stoll, Michael 40 2007 Independence of rational points on twists of a given curve. Zbl 1128.11033 Stoll, Michael 29 2006 An introduction to Conway’s games and numbers. Zbl 1258.91044 Schleicher, Dierk; Stoll, Michael 4 2006 On the number of rational squares at fixed distance from a fifth power. Zbl 1162.11326 Stoll, Michael 1 2006 How to do a \(p\)-descent on an elliptic curve. Zbl 1119.11029 Schaefer, Edward F.; Stoll, Michael 36 2004 On the reduction theory of binary forms. Zbl 1153.11317 Stoll, Michael; Cremona, John E. 14 2003 Bifurcation analysis of an orientational aggregation model. Zbl 1048.92001 Geigant, Edith; Stoll, Michael 6 2003 On the \(L\)-function of the curves \(y^2=x^5+A\). Zbl 1062.11040 Stoll, Michael; Yang, Tonghai 3 2003 On the height constant for curves of genus two. II. Zbl 1139.11318 Stoll, Michael 25 2002 On the arithmetic of the curves \(y^2=x^l+A\). II. Zbl 1004.11038 Stoll, Michael 8 2002 Minimal models for 2-coverings of elliptic curves. Zbl 1067.11031 Stoll, Michael; Cremona, John E. 7 2002 Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058 Stoll, Michael 62 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 20 2001 The Cassels-Tate pairing on polarized Abelian varieties. Zbl 1024.11040 Poonen, Bjorn; Stoll, Michael 76 1999 On the height constant for curves of genus two. Zbl 0932.11043 Stoll, Michael 15 1999 A local-global principle for densities. Zbl 1024.11047 Poonen, Bjorn; Stoll, Michael 13 1999 On the arithmetic of the curves \(y^2=x^l+A\) and their Jacobians. Zbl 0902.11024 Stoll, Michael 9 1998 On the asymptotics of the growth of 2-step nilpotent groups. Zbl 0922.20038 Stoll, Michael 8 1998 Bounds for the length of recurrence relations for convolutions of P-recursive sequences. Zbl 0880.11017 Stoll, Michael 2 1997 Rational and transcendental growth series for the higher Heisenberg groups. Zbl 0869.20018 Stoll, Michael 20 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 10 1995 Regular geodesic languages for 2-step nilpotent groups. Zbl 0854.20043 Stoll, Michael 2 1995 Asymptotics of some number theoretic functions and an application to the growth of nilpotent groups. Zbl 1112.11307 Stoll, Michael 2 1994 Galois group over \(\mathbb{Q}\) of some iterated polynomials. Zbl 0758.11045 Stoll, Michael 32 1992 all cited Publications top 5 cited Publications all top 5 Cited by 587 Authors 29 Stoll, Michael 22 Fisher, Tom A. 13 Hindes, Wade 12 Flynn, Eugene Victor 12 Müller, Jan Steffen 11 Balakrishnan, Jennifer S. 11 Creutz, Brendan 11 Poonen, Bjorn 11 Siksek, Samir 10 Bruin, Nils 9 Najman, Filip 9 Tengely, Szabolcs 8 Bennett, Michael A. 8 Bhargava, Manjul 7 Doyle, John R. 7 Dujella, Andrej 7 González-Jiménez, Enrique 7 Sadek, Mohammad 7 Schaefer, Edward F. 6 Cremona, John E. 6 Freitas, Nuno 6 Micheli, Giacomo 5 Dokchitser, Tim 5 Dokchitser, Vladimir 5 Hutz, Benjamin 5 Jones, Rafe 5 Ozman, Ekin 5 Rouse, Jeremy A. 5 Shankar, Arul 5 Stix, Jakob 5 Ulas, Maciej 5 Voloch, José Felipe 4 Besser, Amnon 4 Bianchi, Francesca 4 Bruin, Peter 4 Dogra, Netan 4 Hajdu, Lajos 4 Ho, Wei 4 Ishitsuka, Yasuhiro 4 Keller, Timo 4 Krumm, David 4 Kutas, Péter 4 Lozano-Robledo, Álvaro 4 Mazur, Barry 4 Michaud-Jacobs, Philippe 4 Paladino, Laura 4 Pasten, Hector V. 4 Pintér, Ákos 4 Stein, William A. 4 Stevens, Angela 4 Tucker, Thomas John 4 Voight, John Michael 4 Zureick-Brown, David 3 Adžaga, Nikola 3 Benedetto, Robert L. 3 Beshaj, Lubjana 3 Cao, Yang 3 Caro, Jerson 3 Česnavičius, Kęstutis 3 Chen, Imin 3 Dahmen, Sander R. 3 Daniels, Harris B. 3 Faber, Xander 3 Gallegos-Ruiz, Homero R. 3 Harari, David 3 Hirakawa, Yoshinosuke 3 Jedrzejak, Tomasz 3 Kazalicki, Matija 3 Liu, Qing 3 Lombardo, Davide M. 3 Lorenzo García, Elisa 3 Loughran, Daniel 3 Miller, Robert L. 3 Morgan, Adam 3 O’Neil, Catherine 3 Padurariu, Oana 3 Park, Jennifer 3 Patel, Vandita 3 Pazuki, Fabien 3 Petričević, Vinko 3 Sharif, Shahed 3 Shaska, Tanush 3 Shparlinski, Igor E. 3 Sijsling, Jeroen 3 Simon, Denis 3 Thorne, Jack 3 Tuitman, Jan 3 van Bommel, Raymond 3 Viray, Bianca 3 Vonk, Jan B. 3 Wang, Xiaoheng 3 Weger, Violetta 3 Xarles, Xavier 3 Yuan, Pingzhi 2 Argáez-García, Alejandro 2 Arul, Vishal 2 Baker, Matthew H. 2 Bandini, Andrea 2 Beneish, Lea 2 Billingsley, Tyler Raven ...and 487 more Authors all top 5 Cited in 139 Serials 53 Journal of Number Theory 37 Mathematics of Computation 26 Research in Number Theory 22 International Journal of Number Theory 21 Acta Arithmetica 16 Transactions of the American Mathematical Society 14 Journal de Théorie des Nombres de Bordeaux 13 Compositio Mathematica 13 LMS Journal of Computation and Mathematics 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Mathematische Annalen 11 Proceedings of the American Mathematical Society 11 Annals of Mathematics. Second Series 10 Journal of Algebra 8 Manuscripta Mathematica 8 Algebra & Number Theory 6 Israel Journal of Mathematics 6 Functiones et Approximatio. Commentarii Mathematici 6 Inventiones Mathematicae 6 Experimental Mathematics 5 Advances in Mathematics 5 Archiv der Mathematik 5 Duke Mathematical Journal 5 Journal of Symbolic Computation 4 Rocky Mountain Journal of Mathematics 4 Bulletin of the London Mathematical Society 4 Canadian Mathematical Bulletin 4 Mathematische Zeitschrift 4 Mathematika 4 Journal of the American Mathematical Society 4 Journal of the Ramanujan Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Expositiones Mathematicae 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Forum of Mathematics, Sigma 3 Geometriae Dedicata 3 Journal für die Reine und Angewandte Mathematik 3 Memoirs of the American Mathematical Society 3 The Ramanujan Journal 3 Journal of the European Mathematical Society (JEMS) 2 Bulletin of the Australian Mathematical Society 2 Periodica Mathematica Hungarica 2 Annales de l’Institut Fourier 2 Canadian Journal of Mathematics 2 Glasgow Mathematical Journal 2 Illinois Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Journal of Pure and Applied Algebra 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Proceedings of the London Mathematical Society. Third Series 2 Revista Matemática Iberoamericana 2 SIAM Journal on Discrete Mathematics 2 Forum Mathematicum 2 International Journal of Algebra and Computation 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Indagationes Mathematicae. New Series 2 Applicable Algebra in Engineering, Communication and Computing 2 The New York Journal of Mathematics 2 Selecta Mathematica. New Series 2 Journal of the Institute of Mathematics of Jussieu 2 Albanian Journal of Mathematics 2 Research in the Mathematical Sciences 2 European Journal of Mathematics 1 International Journal of Modern Physics B 1 American Mathematical Monthly 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Nonlinearity 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Commentarii Mathematici Helvetici 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 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 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Quaestiones Mathematicae 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 Publicacions Matemàtiques 1 IMRN. International Mathematics Research Notices ...and 39 more Serials all top 5 Cited in 39 Fields 458 Number theory (11-XX) 275 Algebraic geometry (14-XX) 64 Dynamical systems and ergodic theory (37-XX) 34 Group theory and generalizations (20-XX) 19 Field theory and polynomials (12-XX) 12 Computer science (68-XX) 11 Combinatorics (05-XX) 9 Commutative algebra (13-XX) 8 Associative rings and algebras (16-XX) 7 Partial differential equations (35-XX) 7 Manifolds and cell complexes (57-XX) 7 Probability theory and stochastic processes (60-XX) 7 Biology and other natural sciences (92-XX) 5 Mathematical logic and foundations (03-XX) 5 Differential geometry (53-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 2 Nonassociative rings and algebras (17-XX) 2 Algebraic topology (55-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 Special functions (33-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) Citations by Year