Edit Profile (opens in new tab) Waldschmidt, Michel Co-Author Distance Author ID: waldschmidt.michel Published as: Waldschmidt, Michel; Waldschmidt, M. Further Spellings: Вальдшмидт Мичел Homepage: https://webusers.imj-prg.fr/~michel.waldschmidt/index2.html External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Member of Collective: Parent, D. P. Documents Indexed: 203 Publications since 1970, including 7 Books 9 Contributions as Editor · 4 Further Contributions Reviewing Activity: 395 Reviews Biographic References: 2 Publications Co-Authors: 54 Co-Authors with 64 Joint Publications 1,743 Co-Co-Authors all top 5 Co-Authors 148 single-authored 11 Levesque, Claude 10 Mignotte, Maurice 8 Bertrand, Daniel 7 Roy, Damien 6 Philippon, Patrice 3 Fouvry, Etienne 3 Langevin, Michel 3 Serre, Jean-Pierre 2 Balasubramanian, Ramachandran 2 Brownawell, W. Dale 2 Gramain, Francois 2 Kumar, K. Senthil 2 Laurent, Michel 2 Luca, Florian 2 Luck, Jean-Marc 2 Moussa, Pierre 2 Murthy, M. Pavaman 2 Shorey, Tarlok Nath 2 Soundararajan, Kannan 2 Thangadurai, Ravindranathan 2 Vaidya, Prabhakar G. 2 van der Poorten, Alfred J. 2 Zhu, Yaochen 1 Agarwal, Ashok Kumar 1 Amoroso, Francesco Antonio 1 Banyaga, Augustin 1 Bardos, Claude Williams 1 Berndt, Bruce Carl 1 Brindza, Béla 1 Brown, Martin L. 1 Bugeaud, Yann 1 Bundschuh, Peter 1 Cartier, Pierre 1 Charpentier, Éric 1 Choudary, A. D. R. 1 Cijsouw, Pieter Leendert 1 David, Guy 1 Di Vizio, Lucia 1 Emsalem, Michel 1 Fontaine, Jean-Marc 1 Fresnel, Jean 1 Gangbo, Wilfrid 1 Girard, Jean-Yves 1 Godefroy, Gilles 1 Habsieger, Laurent 1 Hindry, Marc 1 Huttner, Marc 1 Itzykson, Claude 1 Jackson, Allyn 1 Jiménez-Urroz, Jorge 1 Jutila, Matti Ilmari 1 Kanemitsu, Shigeru 1 Karoubi, Max 1 Krattenthaler, Christian Friedrich 1 Loxton, John H. 1 Morain, François 1 Moreau, Jean-Charles 1 Mullen, Gary L. 1 Murty, Vijaya Kumar 1 Nesterenko, Yuriĭ Valentinovich 1 Neudauer, Nancy Ann 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 Persson, Ulf A. 1 Pintér, Ákos 1 Ramachandra, Kanakanahalli 1 Raynaud, Michel 1 Rémond, Guy 1 Reyssat, Eric 1 Schlickewei, Hans Peter 1 Schmidt, Wolfgang M. 1 Shparlinski, Igor E. 1 Shubin, Carol Ann 1 Tenenbaum, Gérald 1 Thakur, Dinesh S. 1 Villani, Cédric all top 5 Serials 10 Acta Arithmetica 7 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 4 Hardy-Ramanujan Journal 3 Compositio Mathematica 3 Comptes Rendus Mathématiques de l’Académie des Sciences 3 The Ramanujan Journal 3 Lecture Notes in Mathematics 3 Mathematics Newsletter 2 Journal d’Analyse Mathématique 2 Bulletin de la Société Mathématique de France 2 Gazette des Mathématiciens 2 Journal of Number Theory 2 Mathematika 2 Publicationes Mathematicae Debrecen 2 L’Enseignement Mathématique. 2e Série 2 Journal of the Australian Mathematical Society. Series A 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 European Mathematical Society Newsletter 2 Astérisque 2 Moscow Journal of Combinatorics and Number Theory 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Bulletin of the Australian Mathematical Society 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Annales des Sciences Mathématiques du Québec 1 Archiv der Mathematik 1 The Australian Mathematical Society Gazette 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 The Journal of the Indian Mathematical Society. New Series 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Bulletin of the Greek Mathematical Society 1 Southeast Asian Bulletin of Mathematics 1 Acta Mathematica Hungarica 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Istanbul Üniversitesi Fen Fakültesi Matematik Dergisi 1 Fiziko-Matematichesko Spisanie 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Computational Complexity 1 Vietnam Journal of Mathematics 1 Annals of Mathematics. Second Series 1 La Gaceta de la Real Sociedad Matemática Española 1 Journal of the Australian Mathematical Society 1 Moscow Mathematical Journal 1 Doğa. Turkish Journal of Mathematics 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Pure and Applied Mathematics Quarterly 1 The Journal of Prime Research in Mathematics 1 Aspects of Mathematics 1 Contemporary Mathematics 1 Grundlehren der Mathematischen Wissenschaften 1 IMSc Report 1 Progress in Mathematics 1 Springer Proceedings in Physics 1 SMF Journée Annuelle 1 Uniform Distribution Theory 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Afrika Matematika 1 Springer Proceedings in Mathematics & Statistics 1 Transactions of the American Mathematical Society. Series B 1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 1 Trends in Mathematics 1 Le Sel et le Fer all top 5 Fields 199 Number theory (11-XX) 41 Algebraic geometry (14-XX) 18 Functions of a complex variable (30-XX) 15 History and biography (01-XX) 15 Several complex variables and analytic spaces (32-XX) 11 General and overarching topics; collections (00-XX) 10 Special functions (33-XX) 7 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-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 137 Publications have been cited 847 times in 551 Documents Cited by ▼ Year ▼ Diophantine approximation on linear algebraic groups. Transcendence properties of the exponential function in several variables. Zbl 0944.11024Waldschmidt, Michel 92 2000 Nombres transcendants. Zbl 0302.10030Waldschmidt, Michel 56 1974 Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Zbl 0676.14005Serre, Jean-Pierre 54 1989 A lower bound for linear forms in logarithms. Zbl 0357.10017Waldschmidt, Michel 42 1980 Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017Waldschmidt, Michel 38 1979 Multiple zeta values: an introduction. (Valeurs zêta multiples. Une introduction.) Zbl 0976.11037Waldschmidt, Michel 35 2000 Transcendance et exponentielles en plusieurs variables. Zbl 0454.10020Waldschmidt, Michel 28 1981 Linear forms in two logarithms and Schneider’s method. Zbl 0349.10029Mignotte, Maurice; Waldschmidt, Michel 22 1978 Propriétés arithmétiques de fonctions de plusieurs variables. II. Zbl 0363.32003Waldschmidt, Michel 22 1977 Linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes sur les groupes algébriques commutatifs.) Zbl 0651.10023Philippon, Patrice; Waldschmidt, Michel 21 1988 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 Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044Mignotte, Maurice; Waldschmidt, Michel 17 1989 Linear independence of logarithms of algebraic numbers (with an appendix by M. Laurent). Zbl 0809.11038Waldschmidt, Michel 14 1992 Lower bounds for linear forms in logarithms of algebraic numbers. (Minorations de combinaisons linéaires de logarithmes de nombres algébriques.) Zbl 0774.11036Waldschmidt, Michel 14 1993 Lower bounds for linear forms in logarithms. Zbl 0659.10037Philippon, P.; Waldschmidt, M. 13 1988 Multiple polylogarithms: an introduction. Zbl 1035.11033Waldschmidt, M. 13 2002 Transcendence of periods: the state of the art. Zbl 1220.11090Waldschmidt, Michel 13 2006 Solution du huitieme problème de Schneider. Zbl 0262.10021Waldschmidt, Michel 13 1973 Transcendence measures for exponentials and logarithms. Zbl 0388.10022Waldschmidt, Michel 12 1978 From number theory to physics. Lectures of a meeting on number theory and physics held at the Centre de Physique, Les Houches (France), March 7-16, 1989. Zbl 0784.00021 12 1992 Polya’s theorem by Schneider’s method. Zbl 0381.10029Waldschmidt, M. 11 1978 On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033Mignotte, Maurice; Waldschmidt, Michel 11 1994 Linear forms and simultaneous approximations. Zbl 0345.10021Cijsouw, Pieter L.; Waldschmidt, Michel 10 1977 Open Diophantine problems. Zbl 1066.11030Waldschmidt, Michel 10 2004 Algebraic values of analytic functions. Zbl 1062.11049Waldschmidt, Michel 10 2003 Recent advances in Diophantine approximation. Zbl 1271.11070Waldschmidt, Michel 9 2012 Sous-groupes analytiques de groupes algébriques. Zbl 0579.14039Waldschmidt, Michel 9 1983 Diophantine approximation in commutative algebraic groups. I: An effective version of the algebraic subgroup. (Approximation diophantienne dans les groupes algébriques commutatifs. I: Une version effective du sous-groupe algébrique.) Zbl 0880.11054Waldschmidt, Michel 8 1997 Liouville numbers and Schanuel’s conjecture. Zbl 1294.11120Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M. 8 2014 Diophantine approximation and algebraic independence of logarithms. (Approximation diophantienne et indépendance algébrique de logarithmes.) Zbl 0895.11030Roy, Damien; Waldschmidt, Michel 7 1997 Simultaneous approximation of numbers connected with the exponential function. Zbl 0388.10023Waldschmidt, Michel 7 1978 Valeurs algébriques de fonctions analytiques. (Algebraic values of analytic functions). Zbl 0553.10026Gramain, François; Mignotte, Maurice; Waldschmidt, Michel 7 1986 Simultaneous approximation and algebraic independence. Zbl 0916.11042Roy, Damien; Waldschmidt, Michel 7 1997 Linear forms in two logarithms and Schneider’s method. II. Zbl 0642.10034Mignotte, Maurice; Waldschmidt, Michel 6 1989 Simultaneous linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes simultanées sur les groupes algébriques commutatifs.) Zbl 0681.10024Philippon, P.; Waldschmidt, M. 6 1988 Groupes algébriques et grands degrés de transcendance. Appendice: Déformation d’un groupe algébrique par J. Fresnel. (Algebraic groups and large transcendence degrees). Zbl 0592.10028Waldschmidt, Michel 6 1986 Algebraic independence of values of exponential functions. (Indépendance algébrique des valeurs de la fonction exponentielle.) Zbl 0224.10033Waldschmidt, Michel 6 1971 On the transcendence methods of Gelfond and Schneider in several variables. Zbl 0659.10035Waldschmidt, M. 5 1988 Approximation des valeurs de fonctions transcendantes. Zbl 0305.10027Mignotte, Maurice; Waldschmidt, Michel 5 1975 On the maximal length of two sequences of consecutive integers with the same prime divisors. Zbl 0689.10049Balasubramanian, R.; Shorey, T. N.; Waldschmidt, M. 5 1989 Algebraic independence of transcendental numbers. Gel’fond’s method and its developments. Zbl 0556.10023Waldschmidt, Michel 5 1984 Transcendence methods. Zbl 0432.10016Waldschmidt, Michel 5 1979 Elliptic functions and transcendence. Zbl 1210.11084Waldschmidt, Michel 5 2008 Quadratic relations between logarithms of algebraic numbers. Zbl 0860.11040Roy, Damien; Waldschmidt, Michel 5 1995 On the arithmetic nature of the values of modular functions. (Sur la nature arithmétique des valeurs de fonctions modulaires.) Zbl 0908.11029Waldschmidt, Michel 5 1997 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 Families of Thue-Mahler equations having only trivial solutions. (Familles d’équations de Thue-Mahler n’ayant que des solutions triviales.) Zbl 1304.11016Levesque, Claude; Waldschmidt, Michel 4 2012 Les travaux de G. V. Chudnovskiĭ sur les nombres transcendants. Zbl 0345.10020Waldschmidt, Michel 4 1977 The algebraic independence of certain numbers to algebraic powers. Zbl 0357.10018Brownawell, W. D.; Waldschmidt, M. 4 1977 Formes linéaires de logarithmes elliptiques et mesures de transcendance. (Linear forms in elliptic logarithms and transcendence measures). Zbl 0692.10035Philippon, Patrice; Waldschmidt, Michel 4 1989 Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005 4 1983 Solution d’un problème de Schneider sur les nombres transcendants. Zbl 0206.05703Waldschmidt, M. 4 1970 Half a century of transcendence. (Un demi-siècle de transcendance.) Zbl 0977.11030Waldschmidt, Michel 4 2000 Matrices of finite abelian groups, finite Fourier transform and codes. Zbl 1331.20003Kanemitsu, Shigeru; Waldschmidt, Michel 4 2013 Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043Roy, Damien; Waldschmidt, Michel 4 2004 Representation of integers by cyclotomic binary forms. Zbl 1417.11028Fouvry, Étienne; Levesque, Claude; Waldschmidt, Michel 4 2018 Propriétés arithmétiques des valeurs de fonctions méromorphes algébriquement indépendantes. (Arithmetic properties of the values of algebraically independent meromorphic functions.). Zbl 0227.10022Waldschmidt, Michel 4 1973 Nouvelles méthodes pour minorer des combinaisons linéaires de logarithmes de nombres algébriques. (New methods for lower bounds of linear forms in logarithms of algebraic numbers). Zbl 0733.11020Waldschmidt, Michel 4 1991 A family of Thue equations involving powers of units of the simplest cubic fields. Zbl 1395.11059Levesque, Claude; Waldschmidt, Michel 3 2015 Lecture on the \(abc\) conjecture and some of its consequences. Zbl 1395.11056Waldschmidt, Michel 3 2015 Approximation simultanee de valeurs de la fonction exponentielle. Zbl 0345.10022Mignotte, Maurice; Waldschmidt, Michel 3 1977 Nombres transcendants et fonctions sigma de Weierstrass. Zbl 0402.10037Waldschmidt, Michel 3 1979 Dependence of logarithms of algebraic points. Zbl 0714.11043Waldschmidt, M. 3 1990 On the \(p\)-adic closure of a subgroup of rational points on an abelian variety. Zbl 1291.11104Waldschmidt, Michel 3 2011 Families of cubic Thue equations with effective bounds for the solutions. Zbl 1358.11050Levesque, Claude; Waldschmidt, Michel 3 2013 Hopf algebras and transcendental numbers. Zbl 1170.11315Waldschmidt, Michel 3 2005 Transcendence problems connected with Drinfeld modules. Zbl 0802.11023Waldschmidt, M. 3 1990 Auxiliary functions and analytical functionals. I. (Fonctions auxiliaires et fonctionnelles analytiques. I.) Zbl 0742.11035Waldschmidt, Michel 3 1991 Density measure of rational points on Abelian varieties. Zbl 0931.11020Waldschmidt, Michel 3 1999 Number theory and physics. Proceedings of the winter school, Les Houches, France, March 7–16, 1989. Zbl 0702.00008 3 1990 Transcendental numbers and functions of several variables. Zbl 0791.11032Waldschmidt, Michel 3 1993 Density of rational points on an algebraic group. (Densité des points rationnels sur un groupe algébrique.) Zbl 0837.11040Waldschmidt, Michel 3 1994 Solving effectively some families of Thue Diophantine equations. Zbl 1352.11035Levesque, Claude; Waldschmidt, Michel 3 2013 Families of Thue equations associated with a rank 1 subgroup of totally real units of a number field. (Familles d’équations de Thue associées à un sous-groupe de rang 1 d’unités totalement réelles d’un corps de nombres.) Zbl 1394.11030Levesque, Claude; Waldschmidt, Michel 3 2015 Further variations on the six exponentials theorem. Zbl 1116.11054Waldschmidt, Michel 3 2005 Integer valued functions on products. Zbl 0885.11048Waldschmidt, Michel 3 1997 On the representation of integers by cyclotomic forms with large degree. Zbl 1455.11066Fouvry, Étienne; Waldschmidt, Michel 3 2020 Solving simultaneously Thue equations in the almost totally imaginary case. Zbl 1418.11053Levesque, Claude; Waldschmidt, Michel 3 2016 Simultaneous Fermat-Pell-Mahler equations. (Équations de Fermat-Pell-Mahler simultanées.) Zbl 1249.11053Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel 3 2011 Indépendance algébrique de nombres de Liouville. (Algebraic independence of Liouville numbers). Zbl 0729.11035Waldschmidt, Michel 3 1990 Algebraic independence of values of exponential and elliptic functions. Zbl 0616.10029Waldschmidt, Michel 2 1986 Irrationality results for theta functions by Gel’fond-Schneider’s method. Zbl 0642.10035Bundschuh, Peter; Waldschmidt, Michel 2 1989 Schanuel’s conjecture: algebraic independence of transcendental numbers. Zbl 1387.11057Waldschmidt, Michel 2 2015 A generalisation of a transcendence criterion of Gel’fond to several variables. (Une généralisation en plusieurs variables d’un critère de transcendance de Gel’fond.) Zbl 0531.10037Waldschmidt, Michel; Zhu, Yaochen 2 1983 Words and transcendence. Zbl 1195.11095Waldschmidt, Michel 2 2009 A lower bound for the p-adic rank of the units of an algebraic number field. Zbl 0541.12003Waldschmidt, M. 2 1984 Petits degrés de transcendance par la méthode de Schneider en une variable. (Small transcendence degrees obtained by Schneider’s method in one variable). Zbl 0571.10034Waldschmidt, Michel 2 1985 Sur certains characteres du groupe des classes d’ideles d’un corps du nombres. Zbl 0494.12007Waldschmidt, Michel 2 1982 Dependance de logarithmes dans les groupes algébriques. Zbl 0513.14028Waldschmidt, M. 2 1983 On the algebraic subgroup theorem. (Autour du théorème du sous-groupe algébrique.) Zbl 0813.11041Roy, Damien; Waldschmidt, Michel 2 1993 Auxiliary functions and analytical functionals. II. (Fonctions auxiliaires et fonctionnelles analytiques. II.) Zbl 0742.11036Waldschmidt, Michel 2 1991 On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Zbl 0859.11012Balasubramanian, R.; Langevin, M.; Shorey, T. N.; Waldschmidt, M. 2 1996 Transcendence and algebraic independence of values of modular functions. (Transcendance et indépendance algébrique de valeurs de fonctions modulaires.) Zbl 0930.11055Waldschmidt, Michel 2 1999 Extrapolation with interpolation determinants. Zbl 0938.11040Waldschmidt, Michel 2 1998 Integer valued entire functions on Cartesian products. Zbl 0941.11028Waldschmidt, Michel 2 1999 Zeros of linear recurrence sequences. Zbl 0926.11019Schlickewei, Hans Peter; Schmidt, Wolfgang M.; Waldschmidt, Michel 2 1999 Variations on the six exponentials theorem. Zbl 1176.11033Waldschmidt, Michel 2 2005 A lower bound for linear forms in the logarithms of algebraic numbers. Zbl 0623.10023Loxton, J. H.; Mignotte, M.; van der Poorten, A. J.; Waldschmidt, M. 1 1987 Cinquante ans de polynômes. Fifty years of polynomials. Proceedings of a conference held in honour of Alain Durand at the Institut Henri Poincaré, Paris, France, May 26-27, 1988. Zbl 0683.00011 1 1990 Some remarks on Diophantine equations and Diophantine approximation. Zbl 1247.11041Levesque, Claude; Waldschmidt, Michel 1 2011 On transcendental entire functions with infinitely many derivatives taking integer values at two points. Zbl 1488.30174Waldschmidt, M. 1 2021 On entire functions of several variables with derivatives of even order taking integer values. Zbl 1492.32002Waldschmidt, Michel 1 2021 On the representation of integers by cyclotomic forms with large degree. Zbl 1455.11066Fouvry, Étienne; Waldschmidt, Michel 3 2020 Representation of integers by cyclotomic binary forms. Zbl 1417.11028Fouvry, Étienne; Levesque, Claude; Waldschmidt, Michel 4 2018 Families of Thue equations associated with a rank one subgroup of the unit group of a number field. Zbl 1428.11060Levesque, Claude; Waldschmidt, Michel 1 2017 Parametric geometry of numbers in function fields. Zbl 1428.11126Roy, Damien; Waldschmidt, Michel 1 2017 Solving simultaneously Thue equations in the almost totally imaginary case. Zbl 1418.11053Levesque, Claude; Waldschmidt, Michel 3 2016 A family of Thue equations involving powers of units of the simplest cubic fields. Zbl 1395.11059Levesque, Claude; Waldschmidt, Michel 3 2015 Lecture on the \(abc\) conjecture and some of its consequences. Zbl 1395.11056Waldschmidt, Michel 3 2015 Families of Thue equations associated with a rank 1 subgroup of totally real units of a number field. (Familles d’équations de Thue associées à un sous-groupe de rang 1 d’unités totalement réelles d’un corps de nombres.) Zbl 1394.11030Levesque, Claude; Waldschmidt, Michel 3 2015 Schanuel’s conjecture: algebraic independence of transcendental numbers. Zbl 1387.11057Waldschmidt, Michel 2 2015 Liouville numbers, Liouville sets and Liouville fields. Zbl 1320.11065Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M. 1 2015 Tell me about \(\ldots\) a period. (Raconte-moi \(\ldots\) une période.) Zbl 1358.11003Waldschmidt, M. 1 2015 Liouville numbers and Schanuel’s conjecture. Zbl 1294.11120Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M. 8 2014 Matrices of finite abelian groups, finite Fourier transform and codes. Zbl 1331.20003Kanemitsu, Shigeru; Waldschmidt, Michel 4 2013 Families of cubic Thue equations with effective bounds for the solutions. Zbl 1358.11050Levesque, Claude; Waldschmidt, Michel 3 2013 Solving effectively some families of Thue Diophantine equations. Zbl 1352.11035Levesque, Claude; Waldschmidt, Michel 3 2013 Recent advances in Diophantine approximation. Zbl 1271.11070Waldschmidt, Michel 9 2012 Families of Thue-Mahler equations having only trivial solutions. (Familles d’équations de Thue-Mahler n’ayant que des solutions triviales.) Zbl 1304.11016Levesque, Claude; Waldschmidt, Michel 4 2012 Questions of transcendence: big conjectures, little progress. (Questions de transcendance: grandes conjectures, petits progrès.) Zbl 1362.11068Waldschmidt, Michel 1 2012 Approximation of an algebraic number by products of rational numbers and units. Zbl 1300.11026Levesque, Claude; Waldschmidt, Michel 1 2012 On the \(p\)-adic closure of a subgroup of rational points on an abelian variety. Zbl 1291.11104Waldschmidt, Michel 3 2011 Simultaneous Fermat-Pell-Mahler equations. (Équations de Fermat-Pell-Mahler simultanées.) Zbl 1249.11053Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel 3 2011 Some remarks on Diophantine equations and Diophantine approximation. Zbl 1247.11041Levesque, Claude; Waldschmidt, Michel 1 2011 Words and transcendence. Zbl 1195.11095Waldschmidt, Michel 2 2009 Elliptic functions and transcendence. Zbl 1210.11084Waldschmidt, Michel 5 2008 Transcendence of periods: the state of the art. Zbl 1220.11090Waldschmidt, Michel 13 2006 Serge Lang’s contributions to the theory of transcendental numbers. (Les contributions de Serge Lang à la théorie des nombres transcendants.) Zbl 1164.01006Waldschmidt, Michel 1 2006 Hopf algebras and transcendental numbers. Zbl 1170.11315Waldschmidt, Michel 3 2005 Further variations on the six exponentials theorem. Zbl 1116.11054Waldschmidt, Michel 3 2005 Variations on the six exponentials theorem. Zbl 1176.11033Waldschmidt, Michel 2 2005 Open Diophantine problems. Zbl 1066.11030Waldschmidt, Michel 10 2004 Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043Roy, Damien; Waldschmidt, Michel 4 2004 Algebraic values of analytic functions. Zbl 1062.11049Waldschmidt, Michel 10 2003 Linear independence measures for logarithms of algebraic numbers. Zbl 1093.11054Waldschmidt, Michel 1 2003 Multiple polylogarithms: an introduction. Zbl 1035.11033Waldschmidt, M. 13 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 Diophantine approximation on linear algebraic groups. Transcendence properties of the exponential function in several variables. Zbl 0944.11024Waldschmidt, Michel 92 2000 Multiple zeta values: an introduction. (Valeurs zêta multiples. Une introduction.) Zbl 0976.11037Waldschmidt, Michel 35 2000 Half a century of transcendence. (Un demi-siècle de transcendance.) Zbl 0977.11030Waldschmidt, Michel 4 2000 Algebraic independence of transcendental numbers: a survey. Zbl 1072.11510Waldschmidt, Michel 1 2000 On a problem of Mahler concerning the approximation of exponentials and logarithms. Zbl 1002.11061Waldschmidt, Michel 1 2000 Density measure of rational points on Abelian varieties. Zbl 0931.11020Waldschmidt, Michel 3 1999 Transcendence and algebraic independence of values of modular functions. (Transcendance et indépendance algébrique de valeurs de fonctions modulaires.) Zbl 0930.11055Waldschmidt, Michel 2 1999 Integer valued entire functions on Cartesian products. Zbl 0941.11028Waldschmidt, Michel 2 1999 Zeros of linear recurrence sequences. Zbl 0926.11019Schlickewei, Hans Peter; Schmidt, Wolfgang M.; Waldschmidt, Michel 2 1999 From simultaneous approximations to algebraic independence. Zbl 0930.11056Waldschmidt, Michel 1 1999 On the distribution of solutions of Thue’s equation. Zbl 0934.11014Brindza, Béla; Pintér, Ákos; van der Poorten, Alfred J.; Waldschmidt, Michel 1 1999 Extrapolation with interpolation determinants. Zbl 0938.11040Waldschmidt, Michel 2 1998 Diophantine approximation in commutative algebraic groups. I: An effective version of the algebraic subgroup. (Approximation diophantienne dans les groupes algébriques commutatifs. I: Une version effective du sous-groupe algébrique.) Zbl 0880.11054Waldschmidt, Michel 8 1997 Diophantine approximation and algebraic independence of logarithms. (Approximation diophantienne et indépendance algébrique de logarithmes.) Zbl 0895.11030Roy, Damien; Waldschmidt, Michel 7 1997 Simultaneous approximation and algebraic independence. Zbl 0916.11042Roy, Damien; Waldschmidt, Michel 7 1997 On the arithmetic nature of the values of modular functions. (Sur la nature arithmétique des valeurs de fonctions modulaires.) Zbl 0908.11029Waldschmidt, Michel 5 1997 Integer valued functions on products. Zbl 0885.11048Waldschmidt, Michel 3 1997 On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Zbl 0859.11012Balasubramanian, R.; Langevin, M.; Shorey, T. N.; Waldschmidt, M. 2 1996 Dependence of logarithms on commutative algebraic groups. Zbl 0883.11036Waldschmidt, Michel 1 1996 Quadratic relations between logarithms of algebraic numbers. Zbl 0860.11040Roy, Damien; Waldschmidt, Michel 5 1995 Density of rational points on an algebraic group. Errata. (Densité des points rationnels sur un groupe algébrique (errata).) Zbl 0853.11057Waldschmidt, Michel 1 1995 On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033Mignotte, Maurice; Waldschmidt, Michel 11 1994 Density of rational points on an algebraic group. (Densité des points rationnels sur un groupe algébrique.) Zbl 0837.11040Waldschmidt, Michel 3 1994 Lower bounds for linear forms in logarithms of algebraic numbers. (Minorations de combinaisons linéaires de logarithmes de nombres algébriques.) Zbl 0774.11036Waldschmidt, Michel 14 1993 Transcendental numbers and functions of several variables. Zbl 0791.11032Waldschmidt, Michel 3 1993 On the algebraic subgroup theorem. (Autour du théorème du sous-groupe algébrique.) Zbl 0813.11041Roy, Damien; Waldschmidt, Michel 2 1993 Linear independence of logarithms of algebraic numbers (with an appendix by M. Laurent). Zbl 0809.11038Waldschmidt, Michel 14 1992 From number theory to physics. Lectures of a meeting on number theory and physics held at the Centre de Physique, Les Houches (France), March 7-16, 1989. Zbl 0784.00021 12 1992 Constructions de fonctions auxiliaires. (Constructions of auxiliary functions). Zbl 0770.11038Waldschmidt, Michel 1 1992 Nouvelles méthodes pour minorer des combinaisons linéaires de logarithmes de nombres algébriques. (New methods for lower bounds of linear forms in logarithms of algebraic numbers). Zbl 0733.11020Waldschmidt, Michel 4 1991 Auxiliary functions and analytical functionals. I. (Fonctions auxiliaires et fonctionnelles analytiques. I.) Zbl 0742.11035Waldschmidt, Michel 3 1991 Auxiliary functions and analytical functionals. II. (Fonctions auxiliaires et fonctionnelles analytiques. II.) Zbl 0742.11036Waldschmidt, Michel 2 1991 Dependence of logarithms of algebraic points. Zbl 0714.11043Waldschmidt, M. 3 1990 Transcendence problems connected with Drinfeld modules. Zbl 0802.11023Waldschmidt, M. 3 1990 Number theory and physics. Proceedings of the winter school, Les Houches, France, March 7–16, 1989. Zbl 0702.00008 3 1990 Indépendance algébrique de nombres de Liouville. (Algebraic independence of Liouville numbers). Zbl 0729.11035Waldschmidt, Michel 3 1990 Cinquante ans de polynômes. Fifty years of polynomials. Proceedings of a conference held in honour of Alain Durand at the Institut Henri Poincaré, Paris, France, May 26-27, 1988. Zbl 0683.00011 1 1990 Algebraic independence of certain numbers related to Liouville numbers. Zbl 0697.10029Waldschmidt, Michel; Zhu, Yaochen 1 1990 Sur l’équation de Pillai et la différence entre deux produits de puissances de nombres entiers. (On the Pillai equation and the difference between two products of powers of integers). Zbl 0733.11021Waldschmidt, Michel 1 1990 Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Zbl 0676.14005Serre, Jean-Pierre 54 1989 Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044Mignotte, Maurice; Waldschmidt, Michel 17 1989 Linear forms in two logarithms and Schneider’s method. II. Zbl 0642.10034Mignotte, Maurice; Waldschmidt, Michel 6 1989 On the maximal length of two sequences of consecutive integers with the same prime divisors. Zbl 0689.10049Balasubramanian, R.; Shorey, T. N.; Waldschmidt, M. 5 1989 Formes linéaires de logarithmes elliptiques et mesures de transcendance. (Linear forms in elliptic logarithms and transcendence measures). Zbl 0692.10035Philippon, Patrice; Waldschmidt, Michel 4 1989 Irrationality results for theta functions by Gel’fond-Schneider’s method. Zbl 0642.10035Bundschuh, Peter; Waldschmidt, Michel 2 1989 Linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes sur les groupes algébriques commutatifs.) Zbl 0651.10023Philippon, Patrice; Waldschmidt, Michel 21 1988 Lower bounds for linear forms in logarithms. Zbl 0659.10037Philippon, P.; Waldschmidt, M. 13 1988 Simultaneous linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes simultanées sur les groupes algébriques commutatifs.) Zbl 0681.10024Philippon, P.; Waldschmidt, M. 6 1988 On the transcendence methods of Gelfond and Schneider in several variables. Zbl 0659.10035Waldschmidt, M. 5 1988 Some transcendental aspects of Ramanujan’s work. Zbl 0696.10029Waldschmidt, Michel 1 1988 Sur les méthodes de Schneider, Gel’fond et Baker. (On the methods of Schneider, Gel’fond and Baker). Zbl 0714.11042Waldschmidt, Michel 1 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 0621.10022Waldschmidt, Michel 4 1987 A lower bound for linear forms in the logarithms of algebraic numbers. Zbl 0623.10023Loxton, J. H.; Mignotte, M.; van der Poorten, A. J.; Waldschmidt, M. 1 1987 Valeurs algébriques de fonctions analytiques. (Algebraic values of analytic functions). Zbl 0553.10026Gramain, François; Mignotte, Maurice; Waldschmidt, Michel 7 1986 Groupes algébriques et grands degrés de transcendance. Appendice: Déformation d’un groupe algébrique par J. Fresnel. (Algebraic groups and large transcendence degrees). Zbl 0592.10028Waldschmidt, Michel 6 1986 Algebraic independence of values of exponential and elliptic functions. Zbl 0616.10029Waldschmidt, Michel 2 1986 Petits degrés de transcendance par la méthode de Schneider en une variable. (Small transcendence degrees obtained by Schneider’s method in one variable). Zbl 0571.10034Waldschmidt, Michel 2 1985 Algebraic independence of transcendental numbers. Gel’fond’s method and its developments. Zbl 0556.10023Waldschmidt, Michel 5 1984 A lower bound for the p-adic rank of the units of an algebraic number field. Zbl 0541.12003Waldschmidt, M. 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 Sous-groupes analytiques de groupes algébriques. Zbl 0579.14039Waldschmidt, Michel 9 1983 Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005 4 1983 A generalisation of a transcendence criterion of Gel’fond to several variables. (Une généralisation en plusieurs variables d’un critère de transcendance de Gel’fond.) Zbl 0531.10037Waldschmidt, Michel; Zhu, Yaochen 2 1983 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 529 Authors 36 Waldschmidt, Michel 18 Bugeaud, Yann 17 Dubickas, Artūras 15 Roy, Damien 13 Marques, Diego 9 Mignotte, Maurice 9 Philippon, Patrice 8 Masser, David William 7 Ably, Mohammed 7 Diaz, Guy 7 Harbourne, Brian 7 Laurent, Michel 7 Le, Maohua 7 Sha, Min 6 Fischler, Stéphane 6 Hirata-Kohno, Noriko 6 Tubbs, Robert 5 Adamczewski, Boris 5 Chalebgwa, Taboka Prince 5 David, Sinnou 5 Gaudron, Éric 5 Gramain, Francois 5 Luca, Florian 5 Moreira, Carlos Gustavo Tamm de Araujo 5 Murty, Maruti Ram 5 Pethő, Attila 5 Rivoal, Tanguy 5 Stewart, Cameron L. 5 Yu, Kunrui 4 Berenstein, Carlos Alberto 4 Bertrand, Daniel 4 Bradley, David M. 4 Corvaja, Pietro 4 Escassut, Alain 4 Levesque, Claude 4 Manchon, Dominique 4 Nakamaye, Michael 4 Pila, Jonathan 4 Schleischitz, Johannes 4 Shorey, Tarlok Nath 4 Szemberg, Tomasz 4 Tzanakis, Nikos 4 Wüstholz, Gisbert 4 Zhu, Yaochen 3 Balakrishnan, Jennifer S. 3 Bijlsma, Alex 3 Bosser, Vincent 3 Bouillot, Olivier 3 Bruinier, Jan Hendrik 3 Caveny, Deanna M. 3 Chirskiĭ, Vladimir Grigor’evich 3 Cooper, Susan Marie 3 de Weger, Benjamin M. M. 3 D’Hoker, Eric 3 Dumnicki, Marcin 3 Ebrahimi-Fard, Kurusch 3 Glass, Andrew M. W. 3 Gun, Sanoli 3 Habegger, Philipp 3 Kumar, K. Senthil 3 Lara Rodríguez, José Alejandro 3 Malara, Grzegorz 3 Pellarin, Federico 3 Ramirez, Josimar 3 Reyssat, Eric 3 Shmelev, Andrey A. 3 Simsek, Yilmaz 3 Szpond, Justyna 3 Tutaj-Gasińska, Halszka 3 Unterberger, Jérémie M. 3 Yger, Alain 3 Yu, Jing 2 Amoroso, Francesco Antonio 2 Balasubramanian, Ramachandran 2 Berger, Arno 2 Bézivin, Jean-Paul 2 Bocci, Cristiano 2 Bowman, Douglas C. 2 Brown, Francis C. S. 2 Brownawell, W. Dale 2 Bundschuh, Peter 2 Castillo-Medina, Jaime 2 Chang, Chieh-Yu 2 Cijsouw, Pieter Leendert 2 Delaunay, Sandra 2 Dogra, Netan 2 Drmota, Michael 2 Gorodnik, Alexander 2 Grady, Ryan E. 2 Griffon, Richard 2 Guardo, Elena 2 Hà, Huy Tài 2 Kaidi, Justin 2 Kleinbock, Dmitry Ya. 2 Kühne, Lars 2 Langevin, Michel 2 Lelis, Jean 2 Masri, Riad 2 Mihăilescu, Preda 2 Mináč, Ján ...and 429 more Authors all top 5 Cited in 152 Serials 64 Journal of Number Theory 26 Journal de Théorie des Nombres de Bordeaux 21 Compositio Mathematica 18 Annales de l’Institut Fourier 15 Proceedings of the American Mathematical Society 12 Mathematical Notes 12 Inventiones Mathematicae 12 Monatshefte für Mathematik 11 Bulletin of the Australian Mathematical Society 11 Bulletin de la Société Mathématique de France 11 International Journal of Number Theory 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Mathematics of Computation 8 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 8 Acta Mathematica Hungarica 8 The Ramanujan Journal 7 Advances in Mathematics 7 Duke Mathematical Journal 7 Journal of Pure and Applied Algebra 7 Mathematische Annalen 7 Transactions of the American Mathematical Society 7 Indagationes Mathematicae. New Series 6 Acta Arithmetica 6 Proceedings of the Japan Academy. Series A 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Rocky Mountain Journal of Mathematics 5 Acta Mathematica 5 Archiv der Mathematik 5 Manuscripta Mathematica 4 Communications in Mathematical Physics 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Journal of Algebra 4 Mémoires de la Société Mathématique de France. Nouvelle Série 4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 3 Israel Journal of Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Mathematika 3 Rendiconti del Seminario Matematico della Università di Padova 3 Results in Mathematics 3 Journal of Symbolic Computation 3 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 3 Linear Algebra and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Acta Mathematica Sinica. New Series 3 Journal of Mathematical Sciences (New York) 3 Annals of Mathematics. Second Series 3 Journal of the Australian Mathematical Society 3 European Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Lithuanian Mathematical Journal 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 The Mathematical Intelligencer 2 Applied Mathematics and Computation 2 Canadian Mathematical Bulletin 2 Journal of Soviet Mathematics 2 Nagoya Mathematical Journal 2 Theoretical Computer Science 2 Revista Matemática Iberoamericana 2 Journal of the Ramanujan Mathematical Society 2 L’Enseignement Mathématique. 2e Série 2 Experimental Mathematics 2 Journal of Algebraic Combinatorics 2 Annales Mathématiques Blaise Pascal 2 Bulletin des Sciences Mathématiques 2 Documenta Mathematica 2 Doklady Mathematics 2 Journal of High Energy Physics 2 Integers 2 Moscow Journal of Combinatorics and Number Theory 2 Research in Number Theory 2 Transactions of the American Mathematical Society. Series B 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Discrete Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Periodica Mathematica Hungarica 1 Physica A 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Integral Equations and Operator Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods ...and 52 more Serials all top 5 Cited in 49 Fields 455 Number theory (11-XX) 94 Algebraic geometry (14-XX) 48 Functions of a complex variable (30-XX) 31 Special functions (33-XX) 25 Commutative algebra (13-XX) 22 Several complex variables and analytic spaces (32-XX) 19 Dynamical systems and ergodic theory (37-XX) 17 Field theory and polynomials (12-XX) 16 Combinatorics (05-XX) 16 Computer science (68-XX) 11 Quantum theory (81-XX) 9 Mathematical logic and foundations (03-XX) 8 Approximations and expansions (41-XX) 7 History and biography (01-XX) 7 Group theory and generalizations (20-XX) 7 Ordinary differential equations (34-XX) 7 Manifolds and cell complexes (57-XX) 6 Associative rings and algebras (16-XX) 6 Convex and discrete geometry (52-XX) 6 Probability theory and stochastic processes (60-XX) 5 Topological groups, Lie groups (22-XX) 5 Difference and functional equations (39-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Numerical analysis (65-XX) 4 Nonassociative rings and algebras (17-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Differential geometry (53-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.