Edit Profile (opens in new tab) Bertrand, Daniel Co-Author Distance Author ID: bertrand.daniel Published as: Bertrand, Daniel; Bertrand, D. Homepage: https://webusers.imj-prg.fr/~daniel.bertrand/ External Links: MGP · Google Scholar · IdRef · theses.fr Documents Indexed: 89 Publications since 1973, including 1 Book 5 Contributions as Editor · 3 Further Contributions Reviewing Activity: 81 Reviews Co-Authors: 31 Co-Authors with 27 Joint Publications 656 Co-Co-Authors all top 5 Co-Authors 70 single-authored 8 Waldschmidt, Michel 4 Masser, David William 3 Laurent, Michel 3 Philippon, Patrice 3 Pillay, Anand 2 Dèbes, Pierre 2 Serre, Jean-Pierre 2 Zudilin, Wadim 1 Amoroso, Francesco Antonio 1 Beukers, Frits 1 Boalch, Philip P. 1 Brownawell, W. Dale 1 Changeux, Jean-Pierre 1 Chirskiĭ, Vladimir Grigor’evich 1 Couveignes, Jean-Marc 1 Edelstein, Stuart J. 1 Edixhoven, Sebastiaan Johan 1 Emsalem, Michel 1 Enriquez, Benjamin 1 Flicker, Yuval Z. 1 Gramain, Francois 1 Henry, Eric 1 Huttner, Marc 1 Langevin, Michel 1 Mignotte, Maurice 1 Mitschi, Claude 1 Moreau, Jean-Charles 1 Nesterenko, Yuriĭ Valentinovich 1 Rémond, Guy 1 Reyssat, Eric 1 Roy, Damien 1 Sabbah, Claude 1 Schaad, Olivier 1 Schäfke, Reinhard 1 Schmidt, Harry 1 Yebbou, Johan 1 Zannier, Umberto M. all top 5 Serials 5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Inventiones Mathematicae 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Astérisque 2 Séminaires et Congrès 1 Biological Cybernetics 1 Bulletin of the Australian Mathematical Society 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Notre Dame Journal of Formal Logic 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal of the American Mathematical Society 1 Journal of the Australian Mathematical Society. Series A 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences (New York) 1 Izvestiya: Mathematics 1 The Ramanujan Journal 1 Lecture Notes in Mathematics 1 Progress in Mathematics 1 IRMA Lectures in Mathematics and Theoretical Physics 1 Algebra & Number Theory 1 Journal of \(K\)-Theory 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 77 Number theory (11-XX) 63 Algebraic geometry (14-XX) 24 Field theory and polynomials (12-XX) 11 Ordinary differential equations (34-XX) 7 Special functions (33-XX) 5 General and overarching topics; collections (00-XX) 5 Several complex variables and analytic spaces (32-XX) 3 Mathematical logic and foundations (03-XX) 3 Functions of a complex variable (30-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 328 times in 246 Documents Cited by ▼ Year ▼ Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017Waldschmidt, Michel 38 1979 Effective estimates for global relations on Euler-type series. Zbl 1176.11036Bertrand, Daniel; Chirskii, Vladimir; Yebbou, Johan 30 2004 Minimal heights and polarizations on group varieties. Zbl 0847.11036Bertrand, Daniel 18 1995 Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032 18 2001 Theta functions and transcendence. Zbl 0916.11043Bertrand, Daniel 17 1997 Relative Manin-Mumford for semi-abelian surfaces. Zbl 1408.14139Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U. 17 2016 Équations différentielles linéaires et majorations de multiplicités. (Linear differential equations and upper bounds for multiplicities). Zbl 0578.12016Bertrand, Daniel; Beukers, Frits 15 1985 A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields. Zbl 1276.12003Bertrand, Daniel; Pillay, Anand 15 2010 Algebraic subgroups of commutative algebraic groups. (Sous-groupes algébriques de groupes algébriques commutatifs.) Zbl 0618.14020Bertrand, Daniel; Philippon, Patrice 14 1988 Duality on tori and multiplicative dependence relations. Zbl 0886.11035Bertrand, Daniel 12 1997 One-parametric \(p\)-adic subgroups of a group variety. (Sous-groupes à un paramètre \(p\)-adique de variétés de groupe.) Zbl 0358.10016Bertrand, Daniel 12 1977 On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020Bertrand, D.; Zudilin, W. 9 2003 Galois representations and transcendental numbers. Zbl 0679.10024Bertrand, D. 9 1988 Schanuel’s conjecture for non-isoconstant elliptic curves over function fields. Zbl 1215.14050Bertrand, Daniel 9 2008 Unipotent radicals of differential Galois group and integrals of solutions of inhomogeneous equations. Zbl 1016.12007Bertrand, D. 7 2001 Linear forms in elliptic integrals. Zbl 0425.10041Bertrand, Daniel; Masser, David 7 1980 Séries d’Eisenstein et transcendance. Zbl 0341.10031Bertrand, Daniel 6 1976 A differential analog of Kummer theory. (Un analogue différentiel de la théorie de Kummer.) Zbl 0785.12002Bertrand, Daniel 6 1992 Algebraic groups and linear differential equations. (Groupes algébriques et équations différentielles linéaires.) Zbl 0813.12004Bertrand, Daniel 6 1992 Nullstellensätze and transcendental numbers. (Lemmes de zéros et nombres transcendants.) Zbl 0613.14001Bertrand, Daniel 6 1987 Extensions de \({\mathcal D}\)-modules et groupes de Galois differentiels. (Extensions of \({\mathcal D}\)-modules and differential Galois groups). Zbl 0732.13008Bertrand, D. 6 1990 Unlikely intersections in Poincaré biextensions over elliptic schemes. Zbl 1304.11053Bertrand, D. 6 2013 Linear forms on abelian varieties over local fields. Zbl 0432.10019Bertrand, Daniel; Flicker, Yuval 5 1980 Endomorphismes de groupes algébriques; applications arithmétiques. Zbl 0526.10029Bertrand, D. 5 1983 Galois descent in Galois theories. Zbl 1316.12004Bertrand, Daniel 5 2011 Travaux récents sur les points singuliers des équations différentielles linéaires. Zbl 0445.12012Bertrand, Daniel 4 1980 Kummer theory on the product of an elliptic curve by the multiplicative group. Zbl 0453.14019Bertrand, D. 4 1981 Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005 4 1983 Nombres transcendants et groupes algébriques. (Transcendental numbers and algebraic groups). Complété par deux appendices de Daniel Bertrand et Jean-Pierre Serre. 2e éd. Zbl 0621.10022Waldschmidt, Michel 4 1987 Self-dual blended extensions. (Extensions panachées autoduales.) Zbl 1272.18007Bertrand, Daniel 4 2013 The theorem of Siegel-Shidlovsky revisited. (Le théorème de Siegel-Shidlovsky revisité.) Zbl 1282.11081Bertrand, Daniel 4 2012 Pink’s conjecture on unlikely intersections and families of semi-abelian varieties. (Sur la conjecture de Pink sur les intersections exceptionnelles et les familles de variétés semi-abéliennes.) Zbl 1461.14064Bertrand, Daniel; Edixhoven, Bas 3 2020 Derivatives of Siegel modular forms and exponential functions. Zbl 1021.11013Bertrand, D.; Zudilin, W. 3 2001 Un théorème de Schneider-Lang sur certains domaines non simplement connexes. Zbl 0318.10024Bertrand, Daniel 3 1975 Problèmes arithmétiques lies à l’exponentielle p-adique sur les courbes elliptiques. Zbl 0331.14014Bertrand, Daniel 3 1976 Approximations diophantiennes p-adiques sur les courbes elliptiques admettant une multiplication complexe. Zbl 0383.14015Bertrand, Daniel 3 1978 Fonctions modulaires, courbes de Tate et independance algébrique. Zbl 0396.10021Bertrand, Daniel 3 1978 Sur les periodes de formes modulaires. Zbl 0407.10025Bertrand, Daniel 3 1979 Galois theory, functional Lindemann-Weierstrass, and Manin maps. Zbl 06541997Bertrand, Daniel; Pillay, Anand 3 2016 Galois orbits on abelian varieties and zero estimates. Zbl 0597.10032Bertrand, Daniel 3 1986 Théories de Galois différentielles et transcendance. (Differential Galois theories and transcendence.) Zbl 1226.12002Bertrand, Daniel 3 2009 Propriétés de transcendance de nombres liés aux fonctions thêta. Zbl 0472.10033Bertrand, Daniel; Laurent, Michel 2 1981 Valeurs de fonctions theta et hauteurs p-adiques. Zbl 0488.10031Bertrand, Daniel 2 1982 Rational points on compact subgroups of algebraic groups. (Points rationnels sur les sous-groupes compacts des groupes algébriques.) Zbl 0859.11046Bertrand, Daniel 2 1995 A kinetic mechanism for nicotinic acetylcholine receptors based on multiple allosteric transitions. Zbl 0882.92011Edelstein, Stuart J.; Schaad, Olivier; Henry, Eric; Bertrand, Daniel; Changeux, Jean-Pierre 2 1996 Remarks on the intrinsic inverse problem. Zbl 1028.12004Bertrand, Daniel 2 2002 Relative splitting of one-motives. Zbl 1043.11054Bertrand, Daniel 2 1998 Propriétés arithmétiques de fonctions thêta à plusieurs variables. Zbl 0546.14029Bertrand, Daniel 2 1984 Transcendental methods in arithmetic geometry. Zbl 0706.11039Bertrand, Daniel 2 1990 Unlikely intersections in semiabelian surfaces. Zbl 1423.14254Bertrand, Daniel; Schmidt, Harry 2 2019 Fonctions abéliennes et nombres transcendants. Colloque tenu du 23 au 26 mai 1979 à l’École Polytechnique, Palaiseau. Zbl 0441.00008 1 1980 Formes linéaires d’intégrales abeliennes. Zbl 0442.10025Bertrand, Daniel; Masser, David 1 1980 Transcendence properties of abelian integrals. Zbl 0452.10037Bertrand, Daniel 1 1980 On meromorphic functions of one complex variable having algebraic Laurent coefficients. Zbl 0462.10023Bertrand, Daniel; Waldschmidt, Michel 1 1981 Multiplicity and vanishing lemmas for differential and \(q\)-difference equations in the Siegel-Shidlovsky theory. Zbl 1418.39007Bertrand, D. 1 2012 A transcendence criterion for meromorphic functions. Zbl 0365.10024Bertrand, Daniel 1 1977 Algebraic values of \(p\)-adic elliptic functions. Zbl 0365.10027Bertrand, Daniel 1 1977 Transcendance et lois de groupes algébriques. Zbl 0374.14009Bertrand, Daniel 1 1977 Fonctions abeliennes p-adiques. Définitions et conjectures. Zbl 0383.14016Bertrand, Daniel 1 1978 Generalized Jacobians and Pellian polynomials. Zbl 1330.14046Bertrand, Daniel 1 2015 Théorie de Kummer sur les groupes algébriques. Zbl 0547.14011Bertrand, Daniel 1 1983 Les nombres transcendants. Zbl 0548.10021Bertrand, D.; Emsalem, M.; Gramain, F.; Huttner, M.; Langevin, M.; Laurent, M.; Mignotte, M.; Moreau, J.-C.; Philippon, P.; Reyssat, E.; Waldschmidt, M. 1 1984 Exposants, irrégularités et multiplicités. (Exponents, irregularities and multiplicities). Zbl 0589.12019Bertrand, Daniel 1 1985 Arithmetic and differential Galois groups. Proceedings of a meeting, Luminy, France, March 8–13, 2004. (Groupes de Galois arithmétique et différentiels.) Zbl 1108.12001 1 2006 Multiplicity estimates for \(q\)-difference operators. Zbl 1234.11091Bertrand, Daniel 1 2007 Heights and degrees: a note on a paper of C. Liebendörfer and G. Rémond. Zbl 1188.11036Bertrand, D.; Masser, D. 1 2006 Heights and isogenies. (Hauteurs et isogénies.) Zbl 0729.14025Bertrand, D. 1 1990 Relations d’orthogonalité sur les groupes de Mordell-Weil. (Relations of orthogonality on the Mordell-Weil groups). Zbl 0607.14014Bertrand, Daniel 1 1986 Pink’s conjecture on unlikely intersections and families of semi-abelian varieties. (Sur la conjecture de Pink sur les intersections exceptionnelles et les familles de variétés semi-abéliennes.) Zbl 1461.14064Bertrand, Daniel; Edixhoven, Bas 3 2020 Unlikely intersections in semiabelian surfaces. Zbl 1423.14254Bertrand, Daniel; Schmidt, Harry 2 2019 Relative Manin-Mumford for semi-abelian surfaces. Zbl 1408.14139Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U. 17 2016 Galois theory, functional Lindemann-Weierstrass, and Manin maps. Zbl 06541997Bertrand, Daniel; Pillay, Anand 3 2016 Generalized Jacobians and Pellian polynomials. Zbl 1330.14046Bertrand, Daniel 1 2015 Unlikely intersections in Poincaré biextensions over elliptic schemes. Zbl 1304.11053Bertrand, D. 6 2013 Self-dual blended extensions. (Extensions panachées autoduales.) Zbl 1272.18007Bertrand, Daniel 4 2013 The theorem of Siegel-Shidlovsky revisited. (Le théorème de Siegel-Shidlovsky revisité.) Zbl 1282.11081Bertrand, Daniel 4 2012 Multiplicity and vanishing lemmas for differential and \(q\)-difference equations in the Siegel-Shidlovsky theory. Zbl 1418.39007Bertrand, D. 1 2012 Galois descent in Galois theories. Zbl 1316.12004Bertrand, Daniel 5 2011 A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields. Zbl 1276.12003Bertrand, Daniel; Pillay, Anand 15 2010 Théories de Galois différentielles et transcendance. (Differential Galois theories and transcendence.) Zbl 1226.12002Bertrand, Daniel 3 2009 Schanuel’s conjecture for non-isoconstant elliptic curves over function fields. Zbl 1215.14050Bertrand, Daniel 9 2008 Multiplicity estimates for \(q\)-difference operators. Zbl 1234.11091Bertrand, Daniel 1 2007 Arithmetic and differential Galois groups. Proceedings of a meeting, Luminy, France, March 8–13, 2004. (Groupes de Galois arithmétique et différentiels.) Zbl 1108.12001 1 2006 Heights and degrees: a note on a paper of C. Liebendörfer and G. Rémond. Zbl 1188.11036Bertrand, D.; Masser, D. 1 2006 Effective estimates for global relations on Euler-type series. Zbl 1176.11036Bertrand, Daniel; Chirskii, Vladimir; Yebbou, Johan 30 2004 On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020Bertrand, D.; Zudilin, W. 9 2003 Remarks on the intrinsic inverse problem. Zbl 1028.12004Bertrand, Daniel 2 2002 Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032 18 2001 Unipotent radicals of differential Galois group and integrals of solutions of inhomogeneous equations. Zbl 1016.12007Bertrand, D. 7 2001 Derivatives of Siegel modular forms and exponential functions. Zbl 1021.11013Bertrand, D.; Zudilin, W. 3 2001 Relative splitting of one-motives. Zbl 1043.11054Bertrand, Daniel 2 1998 Theta functions and transcendence. Zbl 0916.11043Bertrand, Daniel 17 1997 Duality on tori and multiplicative dependence relations. Zbl 0886.11035Bertrand, Daniel 12 1997 A kinetic mechanism for nicotinic acetylcholine receptors based on multiple allosteric transitions. Zbl 0882.92011Edelstein, Stuart J.; Schaad, Olivier; Henry, Eric; Bertrand, Daniel; Changeux, Jean-Pierre 2 1996 Minimal heights and polarizations on group varieties. Zbl 0847.11036Bertrand, Daniel 18 1995 Rational points on compact subgroups of algebraic groups. (Points rationnels sur les sous-groupes compacts des groupes algébriques.) Zbl 0859.11046Bertrand, Daniel 2 1995 A differential analog of Kummer theory. (Un analogue différentiel de la théorie de Kummer.) Zbl 0785.12002Bertrand, Daniel 6 1992 Algebraic groups and linear differential equations. (Groupes algébriques et équations différentielles linéaires.) Zbl 0813.12004Bertrand, Daniel 6 1992 Extensions de \({\mathcal D}\)-modules et groupes de Galois differentiels. (Extensions of \({\mathcal D}\)-modules and differential Galois groups). Zbl 0732.13008Bertrand, D. 6 1990 Transcendental methods in arithmetic geometry. Zbl 0706.11039Bertrand, Daniel 2 1990 Heights and isogenies. (Hauteurs et isogénies.) Zbl 0729.14025Bertrand, D. 1 1990 Algebraic subgroups of commutative algebraic groups. (Sous-groupes algébriques de groupes algébriques commutatifs.) Zbl 0618.14020Bertrand, Daniel; Philippon, Patrice 14 1988 Galois representations and transcendental numbers. Zbl 0679.10024Bertrand, D. 9 1988 Nullstellensätze and transcendental numbers. (Lemmes de zéros et nombres transcendants.) Zbl 0613.14001Bertrand, Daniel 6 1987 Nombres transcendants et groupes algébriques. (Transcendental numbers and algebraic groups). Complété par deux appendices de Daniel Bertrand et Jean-Pierre Serre. 2e éd. Zbl 0621.10022Waldschmidt, Michel 4 1987 Galois orbits on abelian varieties and zero estimates. Zbl 0597.10032Bertrand, Daniel 3 1986 Relations d’orthogonalité sur les groupes de Mordell-Weil. (Relations of orthogonality on the Mordell-Weil groups). Zbl 0607.14014Bertrand, Daniel 1 1986 Équations différentielles linéaires et majorations de multiplicités. (Linear differential equations and upper bounds for multiplicities). Zbl 0578.12016Bertrand, Daniel; Beukers, Frits 15 1985 Exposants, irrégularités et multiplicités. (Exponents, irregularities and multiplicities). Zbl 0589.12019Bertrand, Daniel 1 1985 Propriétés arithmétiques de fonctions thêta à plusieurs variables. Zbl 0546.14029Bertrand, Daniel 2 1984 Les nombres transcendants. Zbl 0548.10021Bertrand, D.; Emsalem, M.; Gramain, F.; Huttner, M.; Langevin, M.; Laurent, M.; Mignotte, M.; Moreau, J.-C.; Philippon, P.; Reyssat, E.; Waldschmidt, M. 1 1984 Endomorphismes de groupes algébriques; applications arithmétiques. Zbl 0526.10029Bertrand, D. 5 1983 Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005 4 1983 Théorie de Kummer sur les groupes algébriques. Zbl 0547.14011Bertrand, Daniel 1 1983 Valeurs de fonctions theta et hauteurs p-adiques. Zbl 0488.10031Bertrand, Daniel 2 1982 Kummer theory on the product of an elliptic curve by the multiplicative group. Zbl 0453.14019Bertrand, D. 4 1981 Propriétés de transcendance de nombres liés aux fonctions thêta. Zbl 0472.10033Bertrand, Daniel; Laurent, Michel 2 1981 On meromorphic functions of one complex variable having algebraic Laurent coefficients. Zbl 0462.10023Bertrand, Daniel; Waldschmidt, Michel 1 1981 Linear forms in elliptic integrals. Zbl 0425.10041Bertrand, Daniel; Masser, David 7 1980 Linear forms on abelian varieties over local fields. Zbl 0432.10019Bertrand, Daniel; Flicker, Yuval 5 1980 Travaux récents sur les points singuliers des équations différentielles linéaires. Zbl 0445.12012Bertrand, Daniel 4 1980 Fonctions abéliennes et nombres transcendants. Colloque tenu du 23 au 26 mai 1979 à l’École Polytechnique, Palaiseau. Zbl 0441.00008 1 1980 Formes linéaires d’intégrales abeliennes. Zbl 0442.10025Bertrand, Daniel; Masser, David 1 1980 Transcendence properties of abelian integrals. Zbl 0452.10037Bertrand, Daniel 1 1980 Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017Waldschmidt, Michel 38 1979 Sur les periodes de formes modulaires. Zbl 0407.10025Bertrand, Daniel 3 1979 Approximations diophantiennes p-adiques sur les courbes elliptiques admettant une multiplication complexe. Zbl 0383.14015Bertrand, Daniel 3 1978 Fonctions modulaires, courbes de Tate et independance algébrique. Zbl 0396.10021Bertrand, Daniel 3 1978 Fonctions abeliennes p-adiques. Définitions et conjectures. Zbl 0383.14016Bertrand, Daniel 1 1978 One-parametric \(p\)-adic subgroups of a group variety. (Sous-groupes à un paramètre \(p\)-adique de variétés de groupe.) Zbl 0358.10016Bertrand, Daniel 12 1977 A transcendence criterion for meromorphic functions. Zbl 0365.10024Bertrand, Daniel 1 1977 Algebraic values of \(p\)-adic elliptic functions. Zbl 0365.10027Bertrand, Daniel 1 1977 Transcendance et lois de groupes algébriques. Zbl 0374.14009Bertrand, Daniel 1 1977 Séries d’Eisenstein et transcendance. Zbl 0341.10031Bertrand, Daniel 6 1976 Problèmes arithmétiques lies à l’exponentielle p-adique sur les courbes elliptiques. Zbl 0331.14014Bertrand, Daniel 3 1976 Un théorème de Schneider-Lang sur certains domaines non simplement connexes. Zbl 0318.10024Bertrand, Daniel 3 1975 all cited Publications top 5 cited Publications all top 5 Cited by 233 Authors 22 Chirskiĭ, Vladimir Grigor’evich 20 Bertrand, Daniel 8 Zannier, Umberto M. 7 Pillay, Anand 7 Waldschmidt, Michel 6 Fischler, Stéphane 6 Philippon, Patrice 5 David, Sinnou 5 Duverney, Daniel 5 Masser, David William 5 Rivoal, Tanguy 5 Tachiya, Yohei 5 Weil, Jacques-Arthur 4 Dreyfus, Thomas 4 Gaudron, Éric 4 Matala-aho, Tapani 4 Pila, Jonathan 3 Bertolin, Cristiana 3 Bosser, Vincent 3 Gao, Ziyang 3 Kowalski, Piotr 3 Perucca, Antonella 3 Schmidt, Harry 3 Seppälä, Louna 2 Barroero, Fabrizio 2 Benoist, Franck 2 Bostan, Alin 2 Bouscaren, Elisabeth 2 Brown, Martin L. 2 Buium, Alexandru 2 Capuano, Laura 2 Corvaja, Pietro 2 Diaz, Guy 2 Edixhoven, Sebastiaan Johan 2 Elsner, Carsten 2 Ernvall-Hytönen, Anne-Maria 2 Flicker, Yuval Z. 2 Fuchs, Clemens 2 Gramain, Francois 2 Hirata-Kohno, Noriko 2 Kühne, Lars 2 León Sánchez, Omar 2 Lombardo, Davide M. 2 Matveev, Vladimir Yur’evich 2 Nakamaye, Michael 2 Perrin-Riou, Bernadette 2 Pham, Duc Hiep 2 Ratazzi, Nicolas 2 Rémond, Gaël 2 Rubin, Karl Cooper 2 Sgobba, Pietro 2 Singer, Michael F. 2 Tronto, Sebastiano 2 Vaaler, Jeffrey D. 1 Adamczewski, Boris 1 Agboola, Adebisi 1 Akhtari, Shabnam 1 Amoroso, Francesco Antonio 1 Anderson, Michael 1 André, Yves 1 Andreatta, Fabrizio 1 Aparicio-Monforte, Ainhoa 1 Azamatov, T. R. 1 Bailey, David Harold 1 Balakrishnan, Jennifer S. 1 Ballaÿ, François 1 Barkatou, Moulay A. 1 Bays, Martin 1 Bell, Jason P. 1 Berman, Peter 1 Bertapelle, Alessandra 1 Bertolini, Massimo 1 Best, Alex J. 1 Beukers, Frits 1 Bianchi, Francesca 1 Bilu, Yuri F. 1 Binyamini, Gal 1 Bolibrukh, Andreĭ Andreevich 1 Bombieri, Enrico 1 Borek, Thomas 1 Borger, James M. 1 Borot, Gaëtan 1 Borwein, Jonathan Michael 1 Bost, Jean-Benoît 1 Bousquet-Mélou, Mireille 1 Boussel, Katy 1 Brosnan, Patrick 1 Burungale, Ashay A. 1 Cao, Jin 1 Casale, Guy 1 Cassaigne, Julien 1 Chambert-Loir, Antoine 1 Checcoli, Sara 1 Chen, Gongliang 1 Chen, Huayi 1 Chinburg, Ted 1 Christol, Gilles 1 Ciocchetta, Federica 1 Cluzeau, Thomas 1 Compoint, Elie ...and 133 more Authors all top 5 Cited in 91 Serials 16 Journal of Number Theory 10 Doklady Mathematics 9 Annales de l’Institut Fourier 8 Compositio Mathematica 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Journal de Théorie des Nombres de Bordeaux 7 Inventiones Mathematicae 6 Advances in Mathematics 6 Bulletin de la Société Mathématique de France 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Duke Mathematical Journal 5 Mathematische Annalen 5 Journal of Symbolic Computation 5 Mémoires de la Société Mathématique de France. Nouvelle Série 5 Journal of Mathematical Sciences (New York) 5 Journal of the Institute of Mathematics of Jussieu 5 Chebyshevskiĭ Sbornik 4 Journal of Algebra 4 Transactions of the American Mathematical Society 4 Russian Journal of Mathematical Physics 3 Israel Journal of Mathematics 3 Journal of Pure and Applied Algebra 3 Mathematische Zeitschrift 3 Notre Dame Journal of Formal Logic 3 Pacific Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Experimental Mathematics 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 3 International Journal of Number Theory 2 Mathematical Notes 2 Moscow University Mathematics Bulletin 2 Rocky Mountain Journal of Mathematics 2 Acta Arithmetica 2 Bulletin of the London Mathematical Society 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Annals of Pure and Applied Logic 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Selecta Mathematica. New Series 2 The Ramanujan Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Algebra & Number Theory 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Forum of Mathematics, Sigma 2 Annales Mathématiques du Québec 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 The Mathematical Intelligencer 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Dissertationes Mathematicae 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Mathematica Scandinavica 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 Advances in Applied Mathematics 1 \(K\)-Theory 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Discrete Mathematics and Applications 1 Geometric and Functional Analysis. GAFA 1 Glasnik Matematički. Serija III 1 Applicable Algebra in Engineering, Communication and Computing 1 The Bulletin of Symbolic Logic 1 Annals of Combinatorics 1 Journal of Integer Sequences 1 Journal of Mathematical Logic 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Analysis and Operator Theory 1 Journal of \(K\)-Theory 1 Quantum Topology 1 Kyoto Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Research in Number Theory all top 5 Cited in 33 Fields 187 Number theory (11-XX) 104 Algebraic geometry (14-XX) 41 Field theory and polynomials (12-XX) 28 Ordinary differential equations (34-XX) 17 Mathematical logic and foundations (03-XX) 12 Special functions (33-XX) 11 Several complex variables and analytic spaces (32-XX) 7 Functions of a complex variable (30-XX) 7 Computer science (68-XX) 6 Commutative algebra (13-XX) 6 Group theory and generalizations (20-XX) 5 Associative rings and algebras (16-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year