Edit Profile (opens in new tab) Stoll, Michael Compute Distance To: Compute Author ID: stoll.michael Published as: Stoll, Michael; Stoll, M. Homepage: http://www.mathe2.uni-bayreuth.de/stoll/ External Links: MGP Documents Indexed: 76 Publications since 1992, including 3 Books Reviewing Activity: 60 Reviews Co-Authors: 51 Co-Authors with 45 Joint Publications 1,320 Co-Co-Authors all top 5 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 Derickx, Maarten 2 Geigant, Edith 2 Hutz, Benjamin 2 Kurz, Sascha 2 Müller, Jan Steffen 2 Schleicher, Dierk 2 Stein, William A. 1 Bauer, Ingrid C. 1 Belabas, Karim 1 Beukers, Frits 1 Bruin, Peter 1 Bugeaud, Yann 1 DeMark, David 1 Faber, Xander 1 Flynn, Eugene Victor 1 Freitas, Nuno 1 Fu, Hang 1 Gaudry, Pierrick 1 Greenberg, Ralph 1 Hindes, Wade 1 Jones, Rafe 1 Kamienny, Sheldon 1 Keller, Timo 1 Kiermaier, Michael 1 Leprévost, Franck 1 McCallum, William G. 1 Mignotte, Maurice 1 Miller, Robert L. 1 Misplon, Moses 1 Naskrȩcki, Bartosz 1 Reinke, Bernhard 1 Rubin, Karl Cooper 1 Sawin, William F. 1 Shusterman, Mark 1 Silverberg, Alice 1 Solé, Patrick 1 Stoneman, Michael 1 Tengely, Szabolcs 1 van Luijk, Ronald M. 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 5 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 65 Number theory (11-XX) 49 Algebraic geometry (14-XX) 6 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 62 Publications have been cited 773 times in 463 Documents Cited by ▼ Year ▼ The Cassels-Tate pairing on polarized Abelian varieties. Zbl 1024.11040Poonen, Bjorn; Stoll, Michael 65 1999 Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058Stoll, Michael 59 2001 Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\). Zbl 1124.11019Poonen, Bjorn; Schaefer, Edward F.; Stoll, Michael 39 2007 The Mordell-Weil sieve: proving non-existence of rational points on curves. Zbl 1278.11069Bruin, Nils; Stoll, Michael 38 2010 Finite descent obstructions and rational points on curves. Zbl 1167.11024Stoll, Michael 37 2007 Two-cover descent on hyperelliptic curves. Zbl 1208.11078Bruin, Nils; Stoll, Michael 31 2009 Galois group over \(\mathbb{Q}\) of some iterated polynomials. Zbl 0758.11045Stoll, Michael 29 1992 Rational 6-cycles under iteration of quadratic polynomials. Zbl 1222.11083Stoll, Michael 29 2008 How to do a \(p\)-descent on an elliptic curve. Zbl 1119.11029Schaefer, Edward F.; Stoll, Michael 28 2004 Independence of rational points on twists of a given curve. Zbl 1128.11033Stoll, Michael 25 2006 On the height constant for curves of genus two. II. Zbl 1139.11318Stoll, Michael 24 2002 Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves. Zbl 1222.11073Cremona, John E.; Fisher, Tom A.; Stoll, Michael 24 2010 Integral points on hyperelliptic curves. Zbl 1168.11026Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 23 2008 Explicit \(n\)-descent on elliptic curves. I: Algebra. Zbl 1242.11039Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 22 2008 Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Zbl 1020.11043Flynn, E. Victor; Leprévost, Franck; Schaefer, Edward F.; Stein, William A.; Stoll, Michael 20 2001 Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065Bruin, Nils; Poonen, Bjorn; Stoll, Michael 19 2016 Rational and transcendental growth series for the higher Heisenberg groups. Zbl 0869.20018Stoll, Michael 18 1996 Deciding existence of rational points on curves: an experiment. Zbl 1218.11065Bruin, Nils; Stoll, Michael 14 2008 On the height constant for curves of genus two. Zbl 0932.11043Stoll, Michael 14 1999 On the reduction theory of binary forms. Zbl 1153.11317Stoll, Michael; Cremona, John E. 13 2003 Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073Poonen, Bjorn; Stoll, Michael 13 2014 Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank. Zbl 1428.11122Stoll, Michael 10 2019 Rational points on curves. Zbl 1270.11030Stoll, Michael 10 2011 Two simple 2-dimensional abelian varieties defined over \(\mathbb{Q}\) with Mordell-Weil group of rank at least 19. Zbl 0859.11033Stoll, Michael 10 1995 A local-global principle for densities. Zbl 1024.11047Poonen, Bjorn; Stoll, Michael 10 1999 An explicit theory of heights for hyperelliptic Jacobians of genus three. Zbl 1406.14023Stoll, Michael 8 2017 Canonical heights on genus-2 Jacobians. Zbl 1383.11089Müller, Jan Steffen; Stoll, Michael 8 2016 Explicit isogeny descent on elliptic curves. Zbl 1305.11052Miller, Robert L.; Stoll, Michael 8 2013 Diagonal genus 5 curves, elliptic curves over \(\mathbb{Q}(t)\), and rational Diophantine quintuples. Zbl 1475.11048Stoll, Michael 8 2019 On the arithmetic of the curves \(y^2=x^l+A\) and their Jacobians. Zbl 0902.11024Stoll, Michael 8 1998 On the arithmetic of the curves \(y^2=x^l+A\). II. Zbl 1004.11038Stoll, Michael 7 2002 Explicit \(n\)-descent on elliptic curves. III: Algorithms. Zbl 1308.11058Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 7 2015 Explicit \(n\)-descent on elliptic curves. II: Geometry. Zbl 1243.11068Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 7 2009 On elliptic curves with an isogeny of degree 7. Zbl 1296.11063Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M. 7 2014 On the asymptotics of the growth of 2-step nilpotent groups. Zbl 0922.20038Stoll, Michael 7 1998 Minimal models for 2-coverings of elliptic curves. Zbl 1067.11031Stoll, Michael; Cremona, John E. 7 2002 Simultaneous torsion in the Legendre family. Zbl 1386.14122Stoll, Michael 6 2017 Bifurcation analysis of an orientational aggregation model. Zbl 1048.92001Geigant, Edith; Stoll, Michael 5 2003 Chabauty without the Mordell-Weil group. Zbl 1425.11131Stoll, Michael 4 2017 Explicit Selmer groups for cyclic covers of \(\mathbb {P}^1\). Zbl 1316.11056Stoll, Michael; van Luijk, Ronald 4 2013 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 4 2012 Computing canonical heights on elliptic curves in quasi-linear time. Zbl 1372.11068Müller, J. Steffen; Stoll, Michael 4 2016 An introduction to Conway’s games and numbers. Zbl 1258.91044Schleicher, Dierk; Stoll, Michael 3 2006 Partial descent on hyperelliptic curves and the generalized Fermat equation \(x^3+y^4+z^5=0\). Zbl 1269.11061Siksek, Samir; Stoll, Michael 3 2012 Reduction theory of point clusters in projective space. Zbl 1242.11027Stoll, Michael 3 2011 Stability of peak solutions of a non-linear transport equation on the circle. Zbl 1256.35189Geigant, Edith; Stoll, Michael 3 2012 Irreducibility of polynomials with a large gap. Zbl 1442.11140Sawin, Will; Shusterman, Mark; Stoll, Michael 3 2020 On the Diophantine equation \(X^2-(2^{2m}+1)Y^4=-2^{2m}\). Zbl 1275.11057Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi 2 2009 Asymptotics of some number theoretic functions and an application to the growth of nilpotent groups. Zbl 1112.11307Stoll, Michael 2 1994 The yoga of the Cassels-Tate pairing. Zbl 1278.11062Fisher, Tom; Schaefer, Edward F.; Stoll, Michael 2 2010 On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019Faber, Xander; Hutz, Benjamin; Stoll, Michael 2 2011 The generalized Fermat equation with exponents \(2,3,n\). Zbl 1450.11024Freitas, Nuno; Naskręcki, Bartosz; Stoll, Michael 2 2020 Descent on elliptic curves. Zbl 1300.11066Stoll, Michael 2 2012 Regular geodesic languages for 2-step nilpotent groups. Zbl 0854.20043Stoll, Michael 2 1995 Bounds for the length of recurrence relations for convolutions of P-recursive sequences. Zbl 0880.11017Stoll, Michael 2 1997 On the \(L\)-function of the curves \(y^2=x^5+A\). Zbl 1062.11040Stoll, Michael; Yang, Tonghai 2 2003 Torsion points on elliptic curves over number fields of small degree. Zbl 07669194Derickx, Maarten; Kamienny, Sheldon; Stein, William; Stoll, Michael 2 2023 How to solve a Diophantine equation. Zbl 1318.11046Stoll, Michael 1 2011 On the number of rational squares at fixed distance from a fifth power. Zbl 1162.11326Stoll, Michael 1 2006 Eventually stable quadratic polynomials over \(\mathbb{Q}\). Zbl 1446.37100Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael 1 2020 The generalised Fermat equation \(x^{2} + y^{3} = z^{15}\). Zbl 1303.11074Siksek, Samir; Stoll, Michael 1 2014 Smallest representatives of \(\operatorname{SL}(2,\mathbb{Z})\)-orbits of binary forms and endomorphisms of \(\mathbb{P}^1\). Zbl 1419.37091Hutz, Benjamin; Stoll, Michael 1 2019 Torsion points on elliptic curves over number fields of small degree. Zbl 07669194Derickx, Maarten; Kamienny, Sheldon; Stein, William; Stoll, Michael 2 2023 Irreducibility of polynomials with a large gap. Zbl 1442.11140Sawin, Will; Shusterman, Mark; Stoll, Michael 3 2020 The generalized Fermat equation with exponents \(2,3,n\). Zbl 1450.11024Freitas, Nuno; Naskręcki, Bartosz; Stoll, Michael 2 2020 Eventually stable quadratic polynomials over \(\mathbb{Q}\). Zbl 1446.37100Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael 1 2020 Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank. Zbl 1428.11122Stoll, Michael 10 2019 Diagonal genus 5 curves, elliptic curves over \(\mathbb{Q}(t)\), and rational Diophantine quintuples. Zbl 1475.11048Stoll, Michael 8 2019 Smallest representatives of \(\operatorname{SL}(2,\mathbb{Z})\)-orbits of binary forms and endomorphisms of \(\mathbb{P}^1\). Zbl 1419.37091Hutz, Benjamin; Stoll, Michael 1 2019 An explicit theory of heights for hyperelliptic Jacobians of genus three. Zbl 1406.14023Stoll, Michael 8 2017 Simultaneous torsion in the Legendre family. Zbl 1386.14122Stoll, Michael 6 2017 Chabauty without the Mordell-Weil group. Zbl 1425.11131Stoll, Michael 4 2017 Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065Bruin, Nils; Poonen, Bjorn; Stoll, Michael 19 2016 Canonical heights on genus-2 Jacobians. Zbl 1383.11089Müller, Jan Steffen; Stoll, Michael 8 2016 Computing canonical heights on elliptic curves in quasi-linear time. Zbl 1372.11068Müller, J. Steffen; Stoll, Michael 4 2016 Explicit \(n\)-descent on elliptic curves. III: Algorithms. Zbl 1308.11058Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 7 2015 Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073Poonen, Bjorn; Stoll, Michael 13 2014 On elliptic curves with an isogeny of degree 7. Zbl 1296.11063Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M. 7 2014 The generalised Fermat equation \(x^{2} + y^{3} = z^{15}\). Zbl 1303.11074Siksek, Samir; Stoll, Michael 1 2014 Explicit isogeny descent on elliptic curves. Zbl 1305.11052Miller, Robert L.; Stoll, Michael 8 2013 Explicit Selmer groups for cyclic covers of \(\mathbb {P}^1\). Zbl 1316.11056Stoll, Michael; van Luijk, Ronald 4 2013 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002Belabas, 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 1269.11061Siksek, Samir; Stoll, Michael 3 2012 Stability of peak solutions of a non-linear transport equation on the circle. Zbl 1256.35189Geigant, Edith; Stoll, Michael 3 2012 Descent on elliptic curves. Zbl 1300.11066Stoll, Michael 2 2012 Rational points on curves. Zbl 1270.11030Stoll, Michael 10 2011 Reduction theory of point clusters in projective space. Zbl 1242.11027Stoll, Michael 3 2011 On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019Faber, Xander; Hutz, Benjamin; Stoll, Michael 2 2011 How to solve a Diophantine equation. Zbl 1318.11046Stoll, Michael 1 2011 The Mordell-Weil sieve: proving non-existence of rational points on curves. Zbl 1278.11069Bruin, Nils; Stoll, Michael 38 2010 Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves. Zbl 1222.11073Cremona, John E.; Fisher, Tom A.; Stoll, Michael 24 2010 The yoga of the Cassels-Tate pairing. Zbl 1278.11062Fisher, Tom; Schaefer, Edward F.; Stoll, Michael 2 2010 Two-cover descent on hyperelliptic curves. Zbl 1208.11078Bruin, Nils; Stoll, Michael 31 2009 Explicit \(n\)-descent on elliptic curves. II: Geometry. Zbl 1243.11068Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 7 2009 On the Diophantine equation \(X^2-(2^{2m}+1)Y^4=-2^{2m}\). Zbl 1275.11057Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi 2 2009 Rational 6-cycles under iteration of quadratic polynomials. Zbl 1222.11083Stoll, Michael 29 2008 Integral points on hyperelliptic curves. Zbl 1168.11026Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 23 2008 Explicit \(n\)-descent on elliptic curves. I: Algebra. Zbl 1242.11039Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. 22 2008 Deciding existence of rational points on curves: an experiment. Zbl 1218.11065Bruin, Nils; Stoll, Michael 14 2008 Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\). Zbl 1124.11019Poonen, Bjorn; Schaefer, Edward F.; Stoll, Michael 39 2007 Finite descent obstructions and rational points on curves. Zbl 1167.11024Stoll, Michael 37 2007 Independence of rational points on twists of a given curve. Zbl 1128.11033Stoll, Michael 25 2006 An introduction to Conway’s games and numbers. Zbl 1258.91044Schleicher, Dierk; Stoll, Michael 3 2006 On the number of rational squares at fixed distance from a fifth power. Zbl 1162.11326Stoll, Michael 1 2006 How to do a \(p\)-descent on an elliptic curve. Zbl 1119.11029Schaefer, Edward F.; Stoll, Michael 28 2004 On the reduction theory of binary forms. Zbl 1153.11317Stoll, Michael; Cremona, John E. 13 2003 Bifurcation analysis of an orientational aggregation model. Zbl 1048.92001Geigant, Edith; Stoll, Michael 5 2003 On the \(L\)-function of the curves \(y^2=x^5+A\). Zbl 1062.11040Stoll, Michael; Yang, Tonghai 2 2003 On the height constant for curves of genus two. II. Zbl 1139.11318Stoll, Michael 24 2002 On the arithmetic of the curves \(y^2=x^l+A\). II. Zbl 1004.11038Stoll, Michael 7 2002 Minimal models for 2-coverings of elliptic curves. Zbl 1067.11031Stoll, Michael; Cremona, John E. 7 2002 Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058Stoll, Michael 59 2001 Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Zbl 1020.11043Flynn, E. Victor; Leprévost, Franck; Schaefer, Edward F.; Stein, William A.; Stoll, Michael 20 2001 The Cassels-Tate pairing on polarized Abelian varieties. Zbl 1024.11040Poonen, Bjorn; Stoll, Michael 65 1999 On the height constant for curves of genus two. Zbl 0932.11043Stoll, Michael 14 1999 A local-global principle for densities. Zbl 1024.11047Poonen, Bjorn; Stoll, Michael 10 1999 On the arithmetic of the curves \(y^2=x^l+A\) and their Jacobians. Zbl 0902.11024Stoll, Michael 8 1998 On the asymptotics of the growth of 2-step nilpotent groups. Zbl 0922.20038Stoll, Michael 7 1998 Bounds for the length of recurrence relations for convolutions of P-recursive sequences. Zbl 0880.11017Stoll, Michael 2 1997 Rational and transcendental growth series for the higher Heisenberg groups. Zbl 0869.20018Stoll, Michael 18 1996 Two simple 2-dimensional abelian varieties defined over \(\mathbb{Q}\) with Mordell-Weil group of rank at least 19. Zbl 0859.11033Stoll, Michael 10 1995 Regular geodesic languages for 2-step nilpotent groups. Zbl 0854.20043Stoll, Michael 2 1995 Asymptotics of some number theoretic functions and an application to the growth of nilpotent groups. Zbl 1112.11307Stoll, Michael 2 1994 Galois group over \(\mathbb{Q}\) of some iterated polynomials. Zbl 0758.11045Stoll, Michael 29 1992 all cited Publications top 5 cited Publications all top 5 Cited by 511 Authors 26 Stoll, Michael 21 Fisher, Tom A. 12 Müller, Jan Steffen 11 Balakrishnan, Jennifer S. 11 Flynn, Eugene Victor 11 Hindes, Wade 11 Poonen, Bjorn 9 Bruin, Nils 9 Creutz, Brendan 9 Siksek, Samir 9 Tengely, Szabolcs 7 Bennett, Michael A. 7 Sadek, Mohammad 7 Schaefer, Edward F. 6 Bhargava, Manjul 6 Cremona, John E. 5 Doyle, John R. 5 Dujella, Andrej 5 Freitas, Nuno 5 Hutz, Benjamin 5 Micheli, Giacomo 5 Shankar, Arul 5 Ulas, Maciej 4 Besser, Amnon 4 Bianchi, Francesca 4 Dogra, Netan 4 Dokchitser, Tim 4 González-Jiménez, Enrique 4 Ho, Wei 4 Ishitsuka, Yasuhiro 4 Jones, Rafe 4 Krumm, David 4 Mazur, Barry 4 Najman, Filip 4 Pintér, Ákos 4 Rouse, Jeremy A. 4 Stein, William A. 4 Stix, Jakob 4 Tucker, Thomas John 4 Voight, John Michael 4 Voloch, José Felipe 4 Zureick-Brown, David 3 Beshaj, Lubjana 3 Cao, Yang 3 Česnavičius, Kęstutis 3 Dahmen, Sander R. 3 Daniels, Harris B. 3 Dokchitser, Vladimir 3 Gallegos-Ruiz, Homero R. 3 Hajdu, Lajos 3 Hirakawa, Yoshinosuke 3 Jedrzejak, Tomasz 3 Kutas, Péter 3 Liu, Qing 3 Lombardo, Davide M. 3 Lorenzo García, Elisa 3 Miller, Robert L. 3 Ozman, Ekin 3 Paladino, Laura 3 Park, Jennifer 3 Patel, Vandita 3 Pazuki, Fabien 3 Sharif, Shahed 3 Shaska, Tanush 3 Shparlinski, Igor E. 3 Sijsling, Jeroen 3 Stevens, Angela 3 Thorne, Jack A. 3 Tuitman, Jan 3 van Bommel, Raymond 3 Viray, Bianca 3 Vonk, Jan B. 3 Wang, Xiaoheng 3 Xarles, Xavier 2 Argáez-García, Alejandro 2 Baker, Matthew H. 2 Bandini, Andrea 2 Benedetto, Robert L. 2 Billingsley, Tyler Raven 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 Castillo, Marianela 2 Chen, Imin 2 Çiperiani, Mirela 2 Clark, Peter Louis 2 Derickx, Maarten 2 Ejder, Özlem 2 Eliahou, Shalom 2 Faber, Xander 2 Fares, Youssef 2 Ferraguti, Andrea 2 González, Josep R. 2 Habegger, Philipp 2 Harari, David 2 Harpaz, Yonatan ...and 411 more Authors all top 5 Cited in 125 Serials 49 Journal of Number Theory 33 Mathematics of Computation 19 International Journal of Number Theory 19 Research in Number Theory 18 Acta Arithmetica 15 Transactions of the American Mathematical Society 13 Journal de Théorie des Nombres de Bordeaux 13 LMS Journal of Computation and Mathematics 12 Compositio Mathematica 11 Proceedings of the American Mathematical Society 11 Annals of Mathematics. Second Series 10 Journal of Algebra 9 Mathematical Proceedings of the Cambridge Philosophical Society 7 Manuscripta Mathematica 7 Mathematische Annalen 7 Algebra & Number Theory 6 Israel Journal of Mathematics 6 Functiones et Approximatio. Commentarii Mathematici 5 Archiv der Mathematik 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 Journal of Symbolic Computation 5 Experimental Mathematics 4 Rocky Mountain Journal of Mathematics 4 Advances in Mathematics 4 Canadian Mathematical Bulletin 4 Journal of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Forum of Mathematics, Sigma 3 Geometriae Dedicata 3 Journal für die Reine und Angewandte Mathematik 3 Memoirs of the American Mathematical Society 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 2 Periodica Mathematica Hungarica 2 Annales de l’Institut Fourier 2 Illinois Journal of Mathematics 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 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 The New York Journal of Mathematics 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 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 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 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 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 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 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 The Bulletin of Symbolic Logic 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica ...and 25 more Serials all top 5 Cited in 38 Fields 383 Number theory (11-XX) 233 Algebraic geometry (14-XX) 56 Dynamical systems and ergodic theory (37-XX) 29 Group theory and generalizations (20-XX) 17 Field theory and polynomials (12-XX) 11 Computer science (68-XX) 8 Combinatorics (05-XX) 8 Commutative algebra (13-XX) 7 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 General and overarching topics; collections (00-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 History and biography (01-XX) 3 Integral equations (45-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) Citations by Year