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 Videos: carmin.tv Documents Indexed: 90 Publications since 1973, including 2 Books and 1 Additional arXiv Preprint 5 Contributions as Editor · 3 Further Contributions Reviewing Activity: 81 Reviews Co-Authors: 31 Co-Authors with 27 Joint Publications 702 Co-Co-Authors all top 5 Co-Authors 71 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 78 Number theory (11-XX) 64 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 75 Publications have been cited 388 times in 282 Documents Cited by ▼ Year ▼ Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017 Waldschmidt, Michel 47 1979 Effective estimates for global relations on Euler-type series. Zbl 1176.11036 Bertrand, Daniel; Chirskii, Vladimir; Yebbou, Johan 40 2004 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 36 2001 Minimal heights and polarizations on group varieties. Zbl 0847.11036 Bertrand, Daniel 19 1995 Équations différentielles linéaires et majorations de multiplicités. (Linear differential equations and upper bounds for multiplicities). Zbl 0578.12016 Bertrand, Daniel; Beukers, Frits 18 1985 Theta functions and transcendence. Zbl 0916.11043 Bertrand, Daniel 18 1997 Relative Manin-Mumford for semi-abelian surfaces. Zbl 1408.14139 Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U. 18 2016 A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields. Zbl 1276.12003 Bertrand, Daniel; Pillay, Anand 17 2010 Algebraic subgroups of commutative algebraic groups. (Sous-groupes algébriques de groupes algébriques commutatifs.) Zbl 0618.14020 Bertrand, Daniel; Philippon, Patrice 14 1988 Duality on tori and multiplicative dependence relations. Zbl 0886.11035 Bertrand, Daniel 13 1997 One-parametric \(p\)-adic subgroups of a group variety. (Sous-groupes à un paramètre \(p\)-adique de variétés de groupe.) Zbl 0358.10016 Bertrand, Daniel 13 1977 Extensions de \({\mathcal D}\)-modules et groupes de Galois differentiels. (Extensions of \({\mathcal D}\)-modules and differential Galois groups). Zbl 0732.13008 Bertrand, D. 12 1990 Galois representations and transcendental numbers. Zbl 0679.10024 Bertrand, D. 11 1988 Schanuel’s conjecture for non-isoconstant elliptic curves over function fields. Zbl 1215.14050 Bertrand, Daniel 11 2008 On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020 Bertrand, D.; Zudilin, W. 9 2003 Unipotent radicals of differential Galois group and integrals of solutions of inhomogeneous equations. Zbl 1016.12007 Bertrand, D. 8 2001 Endomorphismes de groupes algébriques; applications arithmétiques. Zbl 0526.10029 Bertrand, D. 8 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 0621.10022 Waldschmidt, Michel 8 1987 A differential analog of Kummer theory. (Un analogue différentiel de la théorie de Kummer.) Zbl 0785.12002 Bertrand, Daniel 7 1992 Linear forms in elliptic integrals. Zbl 0425.10041 Bertrand, Daniel; Masser, David 7 1980 Séries d’Eisenstein et transcendance. Zbl 0341.10031 Bertrand, Daniel 7 1976 Algebraic groups and linear differential equations. (Groupes algébriques et équations différentielles linéaires.) Zbl 0813.12004 Bertrand, Daniel 6 1992 Nullstellensätze and transcendental numbers. (Lemmes de zéros et nombres transcendants.) Zbl 0613.14001 Bertrand, Daniel 6 1987 Unlikely intersections in Poincaré biextensions over elliptic schemes. Zbl 1304.11053 Bertrand, D. 6 2013 Propriétés arithmétiques de fonctions thêta à plusieurs variables. Zbl 0546.14029 Bertrand, Daniel 5 1984 Travaux récents sur les points singuliers des équations différentielles linéaires. Zbl 0445.12012 Bertrand, Daniel 5 1980 Linear forms on abelian varieties over local fields. Zbl 0432.10019 Bertrand, Daniel; Flicker, Yuval 5 1980 Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005 5 1983 Galois descent in Galois theories. Zbl 1316.12004 Bertrand, Daniel 5 2011 The theorem of Siegel-Shidlovsky revisited. (Le théorème de Siegel-Shidlovsky revisité.) Zbl 1282.11081 Bertrand, Daniel 5 2012 Kummer theory on the product of an elliptic curve by the multiplicative group. Zbl 0453.14019 Bertrand, D. 4 1981 Fonctions modulaires, courbes de Tate et independance algébrique. Zbl 0396.10021 Bertrand, Daniel 4 1978 Sur les periodes de formes modulaires. Zbl 0407.10025 Bertrand, Daniel 4 1979 Derivatives of Siegel modular forms and exponential functions. Zbl 1021.11013 Bertrand, D.; Zudilin, W. 4 2001 Problèmes arithmétiques lies à l’exponentielle p-adique sur les courbes elliptiques. Zbl 0331.14014 Bertrand, Daniel 4 1976 Self-dual blended extensions. (Extensions panachées autoduales.) Zbl 1272.18007 Bertrand, Daniel 4 2013 Un théorème de Schneider-Lang sur certains domaines non simplement connexes. Zbl 0318.10024 Bertrand, Daniel 4 1975 Relative splitting of one-motives. Zbl 1043.11054 Bertrand, Daniel 3 1998 Transcendental methods in arithmetic geometry. Zbl 0706.11039 Bertrand, Daniel 3 1990 Galois orbits on abelian varieties and zero estimates. Zbl 0597.10032 Bertrand, Daniel 3 1986 Approximations diophantiennes p-adiques sur les courbes elliptiques admettant une multiplication complexe. Zbl 0383.14015 Bertrand, Daniel 3 1978 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 1461.14064 Bertrand, Daniel; Edixhoven, Bas 3 2020 Théories de Galois différentielles et transcendance. (Differential Galois theories and transcendence.) Zbl 1226.12002 Bertrand, Daniel 3 2009 Galois theory, functional Lindemann-Weierstrass, and Manin maps. Zbl 1528.12004 Bertrand, Daniel; Pillay, Anand 3 2016 Rational points on compact subgroups of algebraic groups. (Points rationnels sur les sous-groupes compacts des groupes algébriques.) Zbl 0859.11046 Bertrand, Daniel 2 1995 A kinetic mechanism for nicotinic acetylcholine receptors based on multiple allosteric transitions. Zbl 0882.92011 Edelstein, Stuart J.; Schaad, Olivier; Henry, Eric; Bertrand, Daniel; Changeux, Jean-Pierre 2 1996 Remarks on the intrinsic inverse problem. Zbl 1028.12004 Bertrand, Daniel 2 2002 Transcendence properties of abelian integrals. Zbl 0452.10037 Bertrand, Daniel 2 1980 Abelian varieties and linear forms of elliptic integrals. (Variétés abéliennes et formes linéaires d’intégrales elliptiques.) Zbl 0452.10038 Bertrand, Daniel 2 1981 Propriétés de transcendance de nombres liés aux fonctions thêta. Zbl 0472.10033 Bertrand, Daniel; Laurent, Michel 2 1981 Valeurs de fonctions theta et hauteurs p-adiques. Zbl 0488.10031 Bertrand, Daniel 2 1982 Transcendance et lois de groupes algébriques. Zbl 0374.14009 Bertrand, Daniel 2 1977 Unlikely intersections in semiabelian surfaces. Zbl 1423.14254 Bertrand, Daniel; Schmidt, Harry 2 2019 Generalized Jacobians and Pellian polynomials. Zbl 1330.14046 Bertrand, Daniel 2 2015 Relations d’orthogonalité sur les groupes de Mordell-Weil. (Relations of orthogonality on the Mordell-Weil groups). Zbl 0607.14014 Bertrand, Daniel 1 1986 Théorie de Kummer sur les groupes algébriques. Zbl 0547.14011 Bertrand, Daniel 1 1983 Les nombres transcendants. Zbl 0548.10021 Bertrand, 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 0589.12019 Bertrand, Daniel 1 1985 Constructions effectives de vecteures cycliques pour un D-module. (Effective constructions of cyclic vectors for a D-module). Zbl 0592.13020 Bertrand, 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 Fonctions modulaires et independance algébrique. II. Zbl 0414.10035 Bertrand, Daniel 1 1979 Fonctions abéliennes et nombres transcendants. Colloque tenu du 23 au 26 mai 1979 à l’École Polytechnique, Palaiseau. Zbl 0441.00008 1 1980 Sous-groupes analytiques de variétés de groupe et théorème de Brumer. Zbl 0479.14020 Bertrand, Daniel 1 1981 Heights and degrees: a note on a paper of C. Liebendörfer and G. Rémond. Zbl 1188.11036 Bertrand, D.; Masser, D. 1 2006 Equations différentielles algébriques et nombres transcendants dans les domaines complexe et p-adique. Zbl 0391.10026 Bertrand, Daniel 1 1975 Propriétés arithmétiques des dérivées de la fonction modulaire \(j(\tau)\). Zbl 0408.10020 Bertrand, Daniel 1 1978 Formes linéaires d’intégrales abeliennes. Zbl 0442.10025 Bertrand, Daniel; Masser, David 1 1980 On meromorphic functions of one complex variable having algebraic Laurent coefficients. Zbl 0462.10023 Bertrand, Daniel; Waldschmidt, Michel 1 1981 A transcendence criterion for meromorphic functions. Zbl 0365.10024 Bertrand, Daniel 1 1977 Algebraic values of \(p\)-adic elliptic functions. Zbl 0365.10027 Bertrand, Daniel 1 1977 Multiplicity and vanishing lemmas for differential and \(q\)-difference equations in the Siegel-Shidlovsky theory. Zbl 1418.39007 Bertrand, D. 1 2012 Fonctions abeliennes p-adiques. Définitions et conjectures. Zbl 0383.14016 Bertrand, Daniel 1 1978 Heights and isogenies. (Hauteurs et isogénies.) Zbl 0729.14025 Bertrand, D. 1 1990 Multiplicity estimates for \(q\)-difference operators. Zbl 1234.11091 Bertrand, Daniel 1 2007 Transcendance de valeurs de la fonction gamma (d’apres G. V. Cudnovskij). Zbl 0352.10016 Bertrand, Daniel 1 1977 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 1461.14064 Bertrand, Daniel; Edixhoven, Bas 3 2020 Unlikely intersections in semiabelian surfaces. Zbl 1423.14254 Bertrand, Daniel; Schmidt, Harry 2 2019 Relative Manin-Mumford for semi-abelian surfaces. Zbl 1408.14139 Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U. 18 2016 Galois theory, functional Lindemann-Weierstrass, and Manin maps. Zbl 1528.12004 Bertrand, Daniel; Pillay, Anand 3 2016 Generalized Jacobians and Pellian polynomials. Zbl 1330.14046 Bertrand, Daniel 2 2015 Unlikely intersections in Poincaré biextensions over elliptic schemes. Zbl 1304.11053 Bertrand, D. 6 2013 Self-dual blended extensions. (Extensions panachées autoduales.) Zbl 1272.18007 Bertrand, Daniel 4 2013 The theorem of Siegel-Shidlovsky revisited. (Le théorème de Siegel-Shidlovsky revisité.) Zbl 1282.11081 Bertrand, Daniel 5 2012 Multiplicity and vanishing lemmas for differential and \(q\)-difference equations in the Siegel-Shidlovsky theory. Zbl 1418.39007 Bertrand, D. 1 2012 Galois descent in Galois theories. Zbl 1316.12004 Bertrand, Daniel 5 2011 A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields. Zbl 1276.12003 Bertrand, Daniel; Pillay, Anand 17 2010 Théories de Galois différentielles et transcendance. (Differential Galois theories and transcendence.) Zbl 1226.12002 Bertrand, Daniel 3 2009 Schanuel’s conjecture for non-isoconstant elliptic curves over function fields. Zbl 1215.14050 Bertrand, Daniel 11 2008 Multiplicity estimates for \(q\)-difference operators. Zbl 1234.11091 Bertrand, 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 1188.11036 Bertrand, D.; Masser, D. 1 2006 Effective estimates for global relations on Euler-type series. Zbl 1176.11036 Bertrand, Daniel; Chirskii, Vladimir; Yebbou, Johan 40 2004 On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020 Bertrand, D.; Zudilin, W. 9 2003 Remarks on the intrinsic inverse problem. Zbl 1028.12004 Bertrand, 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 36 2001 Unipotent radicals of differential Galois group and integrals of solutions of inhomogeneous equations. Zbl 1016.12007 Bertrand, D. 8 2001 Derivatives of Siegel modular forms and exponential functions. Zbl 1021.11013 Bertrand, D.; Zudilin, W. 4 2001 Relative splitting of one-motives. Zbl 1043.11054 Bertrand, Daniel 3 1998 Theta functions and transcendence. Zbl 0916.11043 Bertrand, Daniel 18 1997 Duality on tori and multiplicative dependence relations. Zbl 0886.11035 Bertrand, Daniel 13 1997 A kinetic mechanism for nicotinic acetylcholine receptors based on multiple allosteric transitions. Zbl 0882.92011 Edelstein, Stuart J.; Schaad, Olivier; Henry, Eric; Bertrand, Daniel; Changeux, Jean-Pierre 2 1996 Minimal heights and polarizations on group varieties. Zbl 0847.11036 Bertrand, Daniel 19 1995 Rational points on compact subgroups of algebraic groups. (Points rationnels sur les sous-groupes compacts des groupes algébriques.) Zbl 0859.11046 Bertrand, Daniel 2 1995 A differential analog of Kummer theory. (Un analogue différentiel de la théorie de Kummer.) Zbl 0785.12002 Bertrand, Daniel 7 1992 Algebraic groups and linear differential equations. (Groupes algébriques et équations différentielles linéaires.) Zbl 0813.12004 Bertrand, Daniel 6 1992 Extensions de \({\mathcal D}\)-modules et groupes de Galois differentiels. (Extensions of \({\mathcal D}\)-modules and differential Galois groups). Zbl 0732.13008 Bertrand, D. 12 1990 Transcendental methods in arithmetic geometry. Zbl 0706.11039 Bertrand, Daniel 3 1990 Heights and isogenies. (Hauteurs et isogénies.) Zbl 0729.14025 Bertrand, D. 1 1990 Algebraic subgroups of commutative algebraic groups. (Sous-groupes algébriques de groupes algébriques commutatifs.) Zbl 0618.14020 Bertrand, Daniel; Philippon, Patrice 14 1988 Galois representations and transcendental numbers. Zbl 0679.10024 Bertrand, D. 11 1988 Nombres transcendants et groupes algébriques. (Transcendental numbers and algebraic groups). Complété par deux appendices de Daniel Bertrand et Jean-Pierre Serre. 2e éd. Zbl 0621.10022 Waldschmidt, Michel 8 1987 Nullstellensätze and transcendental numbers. (Lemmes de zéros et nombres transcendants.) Zbl 0613.14001 Bertrand, Daniel 6 1987 Galois orbits on abelian varieties and zero estimates. Zbl 0597.10032 Bertrand, Daniel 3 1986 Relations d’orthogonalité sur les groupes de Mordell-Weil. (Relations of orthogonality on the Mordell-Weil groups). Zbl 0607.14014 Bertrand, Daniel 1 1986 Équations différentielles linéaires et majorations de multiplicités. (Linear differential equations and upper bounds for multiplicities). Zbl 0578.12016 Bertrand, Daniel; Beukers, Frits 18 1985 Exposants, irrégularités et multiplicités. (Exponents, irregularities and multiplicities). Zbl 0589.12019 Bertrand, Daniel 1 1985 Constructions effectives de vecteures cycliques pour un D-module. (Effective constructions of cyclic vectors for a D-module). Zbl 0592.13020 Bertrand, Daniel 1 1985 Propriétés arithmétiques de fonctions thêta à plusieurs variables. Zbl 0546.14029 Bertrand, Daniel 5 1984 Les nombres transcendants. Zbl 0548.10021 Bertrand, 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 0526.10029 Bertrand, D. 8 1983 Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005 5 1983 Théorie de Kummer sur les groupes algébriques. Zbl 0547.14011 Bertrand, Daniel 1 1983 Valeurs de fonctions theta et hauteurs p-adiques. Zbl 0488.10031 Bertrand, Daniel 2 1982 Kummer theory on the product of an elliptic curve by the multiplicative group. Zbl 0453.14019 Bertrand, D. 4 1981 Abelian varieties and linear forms of elliptic integrals. (Variétés abéliennes et formes linéaires d’intégrales elliptiques.) Zbl 0452.10038 Bertrand, Daniel 2 1981 Propriétés de transcendance de nombres liés aux fonctions thêta. Zbl 0472.10033 Bertrand, Daniel; Laurent, Michel 2 1981 Sous-groupes analytiques de variétés de groupe et théorème de Brumer. Zbl 0479.14020 Bertrand, Daniel 1 1981 On meromorphic functions of one complex variable having algebraic Laurent coefficients. Zbl 0462.10023 Bertrand, Daniel; Waldschmidt, Michel 1 1981 Linear forms in elliptic integrals. Zbl 0425.10041 Bertrand, Daniel; Masser, David 7 1980 Travaux récents sur les points singuliers des équations différentielles linéaires. Zbl 0445.12012 Bertrand, Daniel 5 1980 Linear forms on abelian varieties over local fields. Zbl 0432.10019 Bertrand, Daniel; Flicker, Yuval 5 1980 Transcendence properties of abelian integrals. Zbl 0452.10037 Bertrand, Daniel 2 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 0442.10025 Bertrand, Daniel; Masser, David 1 1980 Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017 Waldschmidt, Michel 47 1979 Sur les periodes de formes modulaires. Zbl 0407.10025 Bertrand, Daniel 4 1979 Fonctions modulaires et independance algébrique. II. Zbl 0414.10035 Bertrand, Daniel 1 1979 Fonctions modulaires, courbes de Tate et independance algébrique. Zbl 0396.10021 Bertrand, Daniel 4 1978 Approximations diophantiennes p-adiques sur les courbes elliptiques admettant une multiplication complexe. Zbl 0383.14015 Bertrand, Daniel 3 1978 Propriétés arithmétiques des dérivées de la fonction modulaire \(j(\tau)\). Zbl 0408.10020 Bertrand, Daniel 1 1978 Fonctions abeliennes p-adiques. Définitions et conjectures. Zbl 0383.14016 Bertrand, Daniel 1 1978 One-parametric \(p\)-adic subgroups of a group variety. (Sous-groupes à un paramètre \(p\)-adique de variétés de groupe.) Zbl 0358.10016 Bertrand, Daniel 13 1977 Transcendance et lois de groupes algébriques. Zbl 0374.14009 Bertrand, Daniel 2 1977 A transcendence criterion for meromorphic functions. Zbl 0365.10024 Bertrand, Daniel 1 1977 Algebraic values of \(p\)-adic elliptic functions. Zbl 0365.10027 Bertrand, Daniel 1 1977 Transcendance de valeurs de la fonction gamma (d’apres G. V. Cudnovskij). Zbl 0352.10016 Bertrand, Daniel 1 1977 Séries d’Eisenstein et transcendance. Zbl 0341.10031 Bertrand, Daniel 7 1976 Problèmes arithmétiques lies à l’exponentielle p-adique sur les courbes elliptiques. Zbl 0331.14014 Bertrand, Daniel 4 1976 Un théorème de Schneider-Lang sur certains domaines non simplement connexes. Zbl 0318.10024 Bertrand, Daniel 4 1975 Equations différentielles algébriques et nombres transcendants dans les domaines complexe et p-adique. Zbl 0391.10026 Bertrand, Daniel 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 258 Authors 24 Chirskiĭ, Vladimir Grigor’evich 20 Bertrand, Daniel 9 Rivoal, Tanguy 9 Zannier, Umberto M. 8 Philippon, Patrice 8 Pillay, Anand 7 Fischler, Stéphane 7 Waldschmidt, Michel 6 Tachiya, Yohei 5 Bertolin, Cristiana 5 David, Sinnou 5 Duverney, Daniel 5 Masser, David William 5 Weil, Jacques-Arthur 4 Barroero, Fabrizio 4 Dreyfus, Thomas 4 Gaudron, Éric 4 Matala-aho, Tapani 4 Pila, Jonathan 4 Schmidt, Harry 4 Singer, Michael F. 3 Benoist, Franck 3 Bosser, Vincent 3 Bostan, Alin 3 Bouscaren, Elisabeth 3 Capuano, Laura 3 Corvaja, Pietro 3 Gao, Ziyang 3 Kowalski, Piotr 3 Matveev, Vladimir Yur’evich 3 Perucca, Antonella 3 Seppälä, Louna 3 Vaaler, Jeffrey D. 2 Adamczewski, Boris 2 Akhtari, Shabnam 2 Brown, Martin L. 2 Buium, Alexandru 2 Burungale, Ashay A. 2 Chambert-Loir, Antoine 2 Diaz, Guy 2 Disegni, Daniel 2 Duc Hiep Pham 2 Edixhoven, Sebastiaan Johan 2 Elsner, Carsten 2 Ernvall-Hytönen, Anne-Maria 2 Eskandari, Payman 2 Flicker, Yuval Z. 2 Fuchs, Clemens 2 Gramain, Francois 2 Hirata-Kohno, Noriko 2 Jones, Gareth Owen 2 Kühne, Lars 2 León Sánchez, Omar 2 Lombardo, Davide M. 2 Murty, Vijaya Kumar 2 Nakamaye, Michael 2 Pellarin, Federico 2 Perrin-Riou, Bernadette 2 Pham, Duc Hiep 2 Ratazzi, Nicolas 2 Rémond, Gaël 2 Roques, Julien 2 Rubin, Karl Cooper 2 Salvy, Bruno 2 Sgobba, Pietro 2 Tronto, Sebastiano 2 Venerucci, Rodolfo 1 Agboola, Adebisi 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, P. H. 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 Cao, Jin ...and 158 more Authors all top 5 Cited in 97 Serials 19 Journal of Number Theory 10 Doklady Mathematics 9 Annales de l’Institut Fourier 9 Compositio Mathematica 8 Advances in Mathematics 8 Inventiones Mathematicae 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Journal de Théorie des Nombres de Bordeaux 8 Journal of Mathematical Sciences (New York) 6 Bulletin de la Société Mathématique de France 6 Journal of Symbolic Computation 6 Chebyshevskiĭ Sbornik 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Duke Mathematical Journal 5 Journal of Algebra 5 Journal of Pure and Applied Algebra 5 Mathematische Annalen 5 Journal of the Institute of Mathematics of Jussieu 4 Bulletin of the London Mathematical Society 4 Pacific Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Russian Journal of Mathematical Physics 4 Journal of the European Mathematical Society (JEMS) 4 International Journal of Number Theory 4 Algebra & Number Theory 3 Israel Journal of Mathematics 3 Acta Arithmetica 3 Mathematische Zeitschrift 3 Notre Dame Journal of Formal Logic 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Experimental Mathematics 3 Selecta Mathematica. New Series 3 Annals of Mathematics. Second Series 2 Mathematical Notes 2 Moscow University Mathematics Bulletin 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Annals of Pure and Applied Logic 2 Forum Mathematicum 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 The Ramanujan Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Forum of Mathematics, Sigma 2 Annales Mathématiques du Québec 2 Journal de l’École Polytechnique – Mathématiques 2 Research in Number Theory 2 Model Theory 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 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 Proceedings of the London Mathematical Society. Third Series 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 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 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 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 Proceedings of the American Mathematical Society. Series B all top 5 Cited in 34 Fields 219 Number theory (11-XX) 115 Algebraic geometry (14-XX) 47 Field theory and polynomials (12-XX) 33 Ordinary differential equations (34-XX) 21 Mathematical logic and foundations (03-XX) 16 Special functions (33-XX) 12 Several complex variables and analytic spaces (32-XX) 10 Computer science (68-XX) 9 Functions of a complex variable (30-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 5 Approximations and expansions (41-XX) 4 Category theory; homological algebra (18-XX) 4 Difference and functional equations (39-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-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 Measure and integration (28-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