Edit Profile Waldschmidt, Michel Compute Distance To: Compute Author ID: waldschmidt.michel Published as: Waldschmidt, M.; Waldschmidt, Michel Homepage: https://webusers.imj-prg.fr/~michel.waldschmidt/index2.html External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND Member of Collective: Parent, D. P. Documents Indexed: 204 Publications since 1970, including 16 Books Reviewing Activity: 370 Reviews Biographic References: 1 Publication all top 5 Co-Authors 145 single-authored 11 Levesque, Claude 10 Mignotte, Maurice 6 Roy, Damien 5 Bertrand, Daniel 5 Philippon, Patrice 3 Langevin, Michel 2 Balasubramanian, Ramachandran 2 Fouvry, Etienne 2 Gramain, Francois 2 Kumar, K. Senthil 2 Luca, Florian 2 Luck, Jean-Marc 2 Moussa, Pierre 2 Murthy, M. Pavaman 2 Shorey, Tarlok Nath 2 Soundararajan, Kannan 2 Thangadurai, Ravindrananathan 2 Vaidya, Prabhakar G. 2 van der Poorten, Alfred J. 2 Zhu, Yaochen 1 Agarwal, Ashok Kumar 1 Banyaga, Augustin 1 Berndt, Bruce Carl 1 Brindza, Béla 1 Brownawell, W. Dale 1 Bugeaud, Yann 1 Bundschuh, Peter 1 Cartier, Pierre 1 Choudary, A. D. R. 1 Cijsouw, Pieter Leendert 1 Di Vizio, Lucia 1 Emsalem, Michel 1 Gangbo, Wilfrid 1 Huttner, Marc 1 Itzykson, Claude 1 Jiménez-Urroz, Jorge 1 Jutila, Matti Ilmari 1 Kanemitsu, Shigeru 1 Krattenthaler, Christian Friedrich 1 Laurent, Michel 1 Loxton, John H. 1 Moreau, Jean-Charles 1 Mullen, Gary L. 1 Murty, Vijaya Kumar 1 Neudauer, Nancy Ann 1 Pintér, Ákos 1 Ramachandra, Kanakanahalli 1 Reyssat, Eric 1 Schlickewei, Hans Peter 1 Schmidt, Wolfgang M. 1 Shubin, Carol Ann 1 Thakur, Dinesh S. 1 Villani, Cédric all top 5 Serials 9 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 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 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 The Ramanujan Journal 2 Astérisque 2 Lecture Notes in Mathematics 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 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 European Mathematical Society Newsletter 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 Contemporary Mathematics 1 Grundlehren der Mathematischen Wissenschaften 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 Trends in Mathematics all top 5 Fields 194 Number theory (11-XX) 40 Algebraic geometry (14-XX) 16 Functions of a complex variable (30-XX) 13 Several complex variables and analytic spaces (32-XX) 12 History and biography (01-XX) 10 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 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-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 124 Publications have been cited 741 times in 472 Documents Cited by ▼ Year ▼ Diophantine approximation on linear algebraic groups. Transcendence properties of the exponential function in several variables. Zbl 0944.11024Waldschmidt, Michel 78 2000 Nombres transcendants. Zbl 0302.10030Waldschmidt, Michel 53 1974 A lower bound for linear forms in logarithms. Zbl 0357.10017Waldschmidt, Michel 41 1980 Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017Waldschmidt, Michel 32 1979 Multiple zeta values: an introduction. Zbl 0976.11037Waldschmidt, Michel 30 2000 Transcendance et exponentielles en plusieurs variables. Zbl 0454.10020Waldschmidt, Michel 26 1981 Linear forms in two logarithms and Schneider’s method. Zbl 0349.10029Mignotte, Maurice; Waldschmidt, Michel 23 1978 Linear forms in logarithms on commutative algebraic groups. Zbl 0651.10023Philippon, Patrice; Waldschmidt, Michel 20 1988 Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044Mignotte, Maurice; Waldschmidt, Michel 17 1989 Multiple polylogarithms: an introduction. Zbl 1035.11033Waldschmidt, M. 13 2002 Lower bounds for linear forms in logarithms of algebraic numbers. Zbl 0774.11036Waldschmidt, Michel 13 1993 Linear independence of logarithms of algebraic numbers (with an appendix by M. Laurent). Zbl 0809.11038Waldschmidt, Michel 13 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 0784.00021Waldschmidt, Michel (ed.); Moussa, Pierre (ed.); Luck, Jean-Marc (ed.); Itzykson, Claude (ed.) 13 1992 Lower bounds for linear forms in logarithms. Zbl 0659.10037Philippon, P.; Waldschmidt, M. 13 1988 Transcendence measures for exponentials and logarithms. Zbl 0388.10022Waldschmidt, Michel 12 1978 Solution du huitieme problème de Schneider. Zbl 0262.10021Waldschmidt, Michel 12 1973 Transcendence of periods: the state of the art. Zbl 1220.11090Waldschmidt, Michel 10 2006 Open Diophantine problems. Zbl 1066.11030Waldschmidt, Michel 10 2004 Algebraic values of analytic functions. Zbl 1062.11049Waldschmidt, Michel 10 2003 On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033Mignotte, Maurice; Waldschmidt, Michel 10 1994 Polya’s theorem by Schneider’s method. Zbl 0381.10029Waldschmidt, M. 10 1978 Linear forms and simultaneous approximations. Zbl 0345.10021Cijsouw, Pieter L.; Waldschmidt, Michel 10 1977 Sous-groupes analytiques de groupes algébriques. Zbl 0579.14039Waldschmidt, Michel 9 1983 Propriétés arithmétiques de fonctions de plusieurs variables. II. Zbl 0363.32003Waldschmidt, Michel 9 1977 Recent advances in Diophantine approximation. Zbl 1271.11070Waldschmidt, Michel 8 2012 Diophantine approximation in commutative algebraic groups. I: An effective version of the algebraic subgroup. Zbl 0880.11054Waldschmidt, Michel 8 1997 Simultaneous approximation and algebraic independence. Zbl 0916.11042Roy, Damien; Waldschmidt, Michel 7 1997 Diophantine approximation and algebraic independence of logarithms. Zbl 0895.11030Roy, Damien; Waldschmidt, Michel 7 1997 Simultaneous linear forms in logarithms on commutative algebraic groups. Zbl 0681.10024Philippon, P.; Waldschmidt, M. 7 1988 On the transcendence methods of Gelfond and Schneider in several variables. Zbl 0659.10035Waldschmidt, M. 7 1988 Linear forms in two logarithms and Schneider’s method. II. Zbl 0642.10034Mignotte, Maurice; Waldschmidt, Michel 6 1989 Valeurs algébriques de fonctions analytiques. (Algebraic values of analytic functions). Zbl 0553.10026Gramain, François; Mignotte, Maurice; Waldschmidt, Michel 6 1986 Transcendence methods. Zbl 0432.10016Waldschmidt, Michel 6 1979 Simultaneous approximation of numbers connected with the exponential function. Zbl 0388.10023Waldschmidt, Michel 6 1978 Algebraic independence of values of exponential functions. Zbl 0224.10033Waldschmidt, Michel 6 1971 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 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 5 1986 Approximation des valeurs de fonctions transcendantes. Zbl 0305.10027Mignotte, Maurice; Waldschmidt, Michel 5 1975 Liouville numbers and Schanuel’s conjecture. Zbl 1294.11120Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M. 4 2014 Families of Thue-Mahler equations having only trivial solutions. Zbl 1304.11016Levesque, Claude; Waldschmidt, Michel 4 2012 Half a century of transcendence. Zbl 0977.11030Waldschmidt, Michel 4 2000 Quadratic relations between logarithms of algebraic numbers. Zbl 0860.11040Roy, Damien; Waldschmidt, Michel 4 1995 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. Zbl 0742.11035Waldschmidt, Michel 4 1991 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 The algebraic independence of certain numbers to algebraic powers. Zbl 0357.10018Brownawell, W. D.; Waldschmidt, M. 4 1977 Les travaux de G. V. Chudnovskiĭ sur les nombres transcendants. Zbl 0345.10020Waldschmidt, Michel 4 1977 Solution d’un problème de Schneider sur les nombres transcendants. Zbl 0206.05703Waldschmidt, M. 4 1970 Solving simultaneously Thue equations in the almost totally imaginary case. Zbl 1418.11053Levesque, Claude; Waldschmidt, Michel 3 2016 Families of Thue equations associated with a rank 1 subgroup of totally real units of a number field. Zbl 1394.11030Levesque, Claude; Waldschmidt, Michel 3 2015 Solving effectively some families of Thue Diophantine equations. Zbl 1352.11035Levesque, Claude; Waldschmidt, Michel 3 2013 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 Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043Roy, Damien; Waldschmidt, Michel 3 2004 On the arithmetic nature of the values of modular functions. Zbl 0908.11029Waldschmidt, Michel 3 1997 Integer valued functions on products. Zbl 0885.11048Waldschmidt, Michel 3 1997 Transcendental numbers and functions of several variables. Zbl 0791.11032Waldschmidt, Michel 3 1993 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 3 1987 Algebraic independence of transcendental numbers. Gel’fond’s method and its developments. Zbl 0556.10023Waldschmidt, Michel 3 1984 Approximation simultanee de valeurs de la fonction exponentielle. Zbl 0345.10022Mignotte, Maurice; Waldschmidt, Michel 3 1977 Families of Thue equations associated with a rank one subgroup of the unit group of a number field. Zbl 1428.11060Levesque, Claude; Waldschmidt, Michel 2 2017 Schanuel’s conjecture: algebraic independence of transcendental numbers. Zbl 1387.11057Waldschmidt, Michel 2 2015 Lecture on the \(abc\) conjecture and some of its consequences. Zbl 1395.11056Waldschmidt, Michel 2 2015 A family of Thue equations involving powers of units of the simplest cubic fields. Zbl 1395.11059Levesque, Claude; Waldschmidt, Michel 2 2015 Simultaneous Fermat-Pell-Mahler equations. Zbl 1249.11053Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel 2 2011 Elliptic functions and transcendence. Zbl 1210.11084Waldschmidt, Michel 2 2008 Further variations on the six exponentials theorem. Zbl 1116.11054Waldschmidt, Michel 2 2005 Variations on the six exponentials theorem. Zbl 1176.11033Waldschmidt, Michel 2 2005 Density measure of rational points on Abelian varieties. Zbl 0931.11020Waldschmidt, Michel 2 1999 Integer valued entire functions on Cartesian products. Zbl 0941.11028Waldschmidt, Michel 2 1999 From simultaneous approximations to algebraic independence. Zbl 0930.11056Waldschmidt, Michel 2 1999 Extrapolation with interpolation determinants. Zbl 0938.11040Waldschmidt, Michel 2 1998 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 Density of rational points on an algebraic group. Zbl 0837.11040Waldschmidt, Michel 2 1994 On the algebraic subgroup theorem. Zbl 0813.11041Roy, Damien; Waldschmidt, Michel 2 1993 Auxiliary functions and analytical functionals. II. Zbl 0742.11036Waldschmidt, Michel 2 1991 Dependence of logarithms of algebraic points. Zbl 0714.11043Waldschmidt, M. 2 1990 Transcendence problems connected with Drinfeld modules. Zbl 0802.11023Waldschmidt, M. 2 1990 Number theory and physics. Proceedings of the winter school, Les Houches, France, March 7-16, 1989. Zbl 0702.00008Luck, Jean-Marc (ed.); Moussa, Pierre (ed.); Waldschmidt, Michel (ed.) 2 1990 Irrationality results for theta functions by Gel’fond-Schneider’s method. Zbl 0642.10035Bundschuh, Peter; Waldschmidt, Michel 2 1989 A generalisation of a transcendence criterion of Gel’fond to several variables. Zbl 0531.10037Waldschmidt, Michel; Zhu, Yaochen 2 1983 Dependance de logarithmes dans les groupes algébriques. Zbl 0513.14028Waldschmidt, M. 2 1983 Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005Bertrand, D. (ed.); Waldschmidt, M. (ed.) 2 1983 Nombres transcendants et fonctions sigma de Weierstrass. Zbl 0402.10037Waldschmidt, Michel 2 1979 Propriétés arithmétiques des valeurs de fonctions méromorphes algébriquement indépendantes. (Arithmetic properties of the values of algebraically independent meromorphic functions.). Zbl 0227.10022Waldschmidt, Michel 2 1973 Representation of integers by cyclotomic binary forms. Zbl 1417.11028Fouvry, Étienne; Levesque, Claude; Waldschmidt, Michel 1 2018 Parametric geometry of numbers in function fields. Zbl 1428.11126Roy, Damien; Waldschmidt, Michel 1 2017 Liouville numbers, Liouville sets and Liouville fields. Zbl 1320.11065Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M. 1 2015 Short report on ICM2014. Zbl 1315.01031Waldschmidt, Michel 1 2014 Matrices of finite abelian groups, finite Fourier transform and codes. Zbl 1331.20003Kanemitsu, Shigeru; Waldschmidt, Michel 1 2013 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 1 2011 Some remarks on Diophantine equations and Diophantine approximation. Zbl 1247.11041Levesque, Claude; Waldschmidt, Michel 1 2011 Words and transcendence. Zbl 1195.11095Waldschmidt, Michel 1 2009 Linear independence measures for logarithms of algebraic numbers. Zbl 1093.11054Waldschmidt, Michel 1 2003 On a problem of Mahler concerning the approximation of exponentials and logarithms. Zbl 1002.11061Waldschmidt, Michel 1 2000 On the distribution of solutions of Thue’s equation. Zbl 0934.11014Brindza, Béla; Pintér, Ákos; van der Poorten, Alfred J.; Waldschmidt, Michel 1 1999 Transcendence and algebraic independence of values of modular functions. Zbl 0930.11055Waldschmidt, Michel 1 1999 Zeros of linear recurrence sequences. Zbl 0926.11019Schlickewei, Hans Peter; Schmidt, Wolfgang M.; Waldschmidt, Michel 1 1999 Dependence of logarithms on commutative algebraic groups. Zbl 0883.11036Waldschmidt, Michel 1 1996 Representation of integers by cyclotomic binary forms. Zbl 1417.11028Fouvry, Étienne; Levesque, Claude; Waldschmidt, Michel 1 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 2 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 Families of Thue equations associated with a rank 1 subgroup of totally real units of a number field. Zbl 1394.11030Levesque, Claude; Waldschmidt, Michel 3 2015 Schanuel’s conjecture: algebraic independence of transcendental numbers. Zbl 1387.11057Waldschmidt, Michel 2 2015 Lecture on the \(abc\) conjecture and some of its consequences. Zbl 1395.11056Waldschmidt, Michel 2 2015 A family of Thue equations involving powers of units of the simplest cubic fields. Zbl 1395.11059Levesque, Claude; Waldschmidt, Michel 2 2015 Liouville numbers, Liouville sets and Liouville fields. Zbl 1320.11065Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M. 1 2015 Liouville numbers and Schanuel’s conjecture. Zbl 1294.11120Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M. 4 2014 Short report on ICM2014. Zbl 1315.01031Waldschmidt, Michel 1 2014 Solving effectively some families of Thue Diophantine equations. Zbl 1352.11035Levesque, Claude; Waldschmidt, Michel 3 2013 Families of cubic Thue equations with effective bounds for the solutions. Zbl 1358.11050Levesque, Claude; Waldschmidt, Michel 3 2013 Matrices of finite abelian groups, finite Fourier transform and codes. Zbl 1331.20003Kanemitsu, Shigeru; Waldschmidt, Michel 1 2013 Recent advances in Diophantine approximation. Zbl 1271.11070Waldschmidt, Michel 8 2012 Families of Thue-Mahler equations having only trivial solutions. Zbl 1304.11016Levesque, Claude; Waldschmidt, Michel 4 2012 Approximation of an algebraic number by products of rational numbers and units. Zbl 1300.11026Levesque, Claude; Waldschmidt, Michel 1 2012 Simultaneous Fermat-Pell-Mahler equations. Zbl 1249.11053Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel 2 2011 On the \(p\)-adic closure of a subgroup of rational points on an abelian variety. Zbl 1291.11104Waldschmidt, Michel 1 2011 Some remarks on Diophantine equations and Diophantine approximation. Zbl 1247.11041Levesque, Claude; Waldschmidt, Michel 1 2011 Words and transcendence. Zbl 1195.11095Waldschmidt, Michel 1 2009 Elliptic functions and transcendence. Zbl 1210.11084Waldschmidt, Michel 2 2008 Transcendence of periods: the state of the art. Zbl 1220.11090Waldschmidt, Michel 10 2006 Hopf algebras and transcendental numbers. Zbl 1170.11315Waldschmidt, Michel 3 2005 Further variations on the six exponentials theorem. Zbl 1116.11054Waldschmidt, Michel 2 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 3 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 Diophantine approximation on linear algebraic groups. Transcendence properties of the exponential function in several variables. Zbl 0944.11024Waldschmidt, Michel 78 2000 Multiple zeta values: an introduction. Zbl 0976.11037Waldschmidt, Michel 30 2000 Half a century of transcendence. Zbl 0977.11030Waldschmidt, Michel 4 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 2 1999 Integer valued entire functions on Cartesian products. Zbl 0941.11028Waldschmidt, Michel 2 1999 From simultaneous approximations to algebraic independence. Zbl 0930.11056Waldschmidt, Michel 2 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 Transcendence and algebraic independence of values of modular functions. Zbl 0930.11055Waldschmidt, Michel 1 1999 Zeros of linear recurrence sequences. Zbl 0926.11019Schlickewei, Hans Peter; Schmidt, Wolfgang M.; 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. Zbl 0880.11054Waldschmidt, Michel 8 1997 Simultaneous approximation and algebraic independence. Zbl 0916.11042Roy, Damien; Waldschmidt, Michel 7 1997 Diophantine approximation and algebraic independence of logarithms. Zbl 0895.11030Roy, Damien; Waldschmidt, Michel 7 1997 On the arithmetic nature of the values of modular functions. Zbl 0908.11029Waldschmidt, Michel 3 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 4 1995 On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033Mignotte, Maurice; Waldschmidt, Michel 10 1994 Density of rational points on an algebraic group. Zbl 0837.11040Waldschmidt, Michel 2 1994 Lower bounds for linear forms in logarithms of algebraic numbers. Zbl 0774.11036Waldschmidt, Michel 13 1993 Transcendental numbers and functions of several variables. Zbl 0791.11032Waldschmidt, Michel 3 1993 On the algebraic subgroup theorem. 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 13 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 0784.00021Waldschmidt, Michel (ed.); Moussa, Pierre (ed.); Luck, Jean-Marc (ed.); Itzykson, Claude (ed.) 13 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. Zbl 0742.11035Waldschmidt, Michel 4 1991 Auxiliary functions and analytical functionals. II. Zbl 0742.11036Waldschmidt, Michel 2 1991 Dependence of logarithms of algebraic points. Zbl 0714.11043Waldschmidt, M. 2 1990 Transcendence problems connected with Drinfeld modules. Zbl 0802.11023Waldschmidt, M. 2 1990 Number theory and physics. Proceedings of the winter school, Les Houches, France, March 7-16, 1989. Zbl 0702.00008Luck, Jean-Marc (ed.); Moussa, Pierre (ed.); Waldschmidt, Michel (ed.) 2 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 Algebraic independence of certain numbers related to Liouville numbers. Zbl 0697.10029Waldschmidt, Michel; Zhu, Yaochen 1 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 0683.00011Langevin, M. (ed.); Waldschmidt, M. (ed.) 1 1990 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. Zbl 0651.10023Philippon, Patrice; Waldschmidt, Michel 20 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. Zbl 0681.10024Philippon, P.; Waldschmidt, M. 7 1988 On the transcendence methods of Gelfond and Schneider in several variables. Zbl 0659.10035Waldschmidt, M. 7 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 3 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 6 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 5 1986 Algebraic independence of values of exponential and elliptic functions. Zbl 0616.10029Waldschmidt, Michel 1 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 1 1985 Algebraic independence of transcendental numbers. Gel’fond’s method and its developments. Zbl 0556.10023Waldschmidt, Michel 3 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 A lower bound for the p-adic rank of the units of an algebraic number field. Zbl 0541.12003Waldschmidt, M. 1 1984 Sous-groupes analytiques de groupes algébriques. Zbl 0579.14039Waldschmidt, Michel 9 1983 A generalisation of a transcendence criterion of Gel’fond to several variables. Zbl 0531.10037Waldschmidt, Michel; Zhu, Yaochen 2 1983 Dependance de logarithmes dans les groupes algébriques. Zbl 0513.14028Waldschmidt, M. 2 1983 Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005Bertrand, D. (ed.); Waldschmidt, M. (ed.) 2 1983 Les debuts de la théorie des nombres transcendants (a l’occasion du centenaire de la transcendance de pi). Zbl 0507.01004Waldschmidt, Michel 1 1983 Sur certains characteres du groupe des classes d’ideles d’un corps du nombres. Zbl 0494.12007Waldschmidt, Michel 1 1982 Transcendance et exponentielles en plusieurs variables. Zbl 0454.10020Waldschmidt, Michel 26 1981 Minorations du rang p-adique du groupe des unites. Zbl 0506.12006Waldschmidt, Michel 1 1981 On meromorphic functions of one complex variable having algebraic Laurent coefficients. Zbl 0462.10023Bertrand, Daniel; Waldschmidt, Michel 1 1981 A lower bound for linear forms in logarithms. Zbl 0357.10017Waldschmidt, Michel 41 1980 Propriétés arithmétiques de fonctions de plusieurs variables. III. Zbl 0444.10028Waldschmidt, Michel 1 1980 Fonctions abéliennes et nombres transcendants. Colloque tenu du 23 au 26 mai 1979 à l’École Polytechnique, Palaiseau. Zbl 0441.00008Bertrand, D. (ed.); Waldschmidt, M. (ed.) 1 1980 Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017Waldschmidt, Michel 32 1979 Transcendence methods. Zbl 0432.10016Waldschmidt, Michel 6 1979 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 416 Authors 29 Waldschmidt, Michel 16 Dubickas, Artūras 14 Bugeaud, Yann 14 Roy, Damien 12 Marques, Diego 10 Mignotte, Maurice 9 Philippon, Patrice 8 Masser, David William 7 Diaz, Guy 7 Laurent, Michel 7 Le, Maohua 6 Ably, Mohammed 6 Fischler, Stéphane 6 Sha, Min 6 Tubbs, Robert 5 David, Sinnou 5 Gaudron, Éric 5 Gramain, Francois 5 Hirata-Kohno, Noriko 5 Moreira, Carlos Gustavo Tamm de Araujo 5 Murty, Maruti Ram 5 Rivoal, Tanguy 5 Simsek, Yilmaz 5 Yu, Kunrui 4 Adamczewski, Boris 4 Berenstein, Carlos Alberto 4 Bertrand, Daniel 4 Bradley, David M. 4 Corvaja, Pietro 4 Levesque, Claude 4 Luca, Florian 4 Manchon, Dominique 4 Nakamaye, Michael 4 Pila, Jonathan 4 Shorey, Tarlok Nath 4 Stewart, Cameron L. 4 Tzanakis, Nikos 4 Zhu, Yaochen 3 Bijlsma, Alex 3 Bosser, Vincent 3 Bouillot, Olivier 3 Brownawell, W. Dale 3 Bruinier, Jan Hendrik 3 Caveny, Deanna M. 3 Chalebgwa, Taboka Prince 3 de Weger, Benjamin M. M. 3 D’Hoker, Eric 3 Ebrahimi-Fard, Kurusch 3 Escassut, Alain 3 Glass, Andrew M. W. 3 Harbourne, Brian 3 Lara Rodríguez, José Alejandro 3 Pellarin, Federico 3 Pethő, Attila 3 Ramirez, Josimar 3 Reyssat, Eric 3 Schleischitz, Johannes 3 Shmelev, Andrey A. 3 Szemberg, Tomasz 3 Unterberger, Jérémie M. 3 Wüstholz, Gisbert 3 Yger, Alain 3 Yu, Jing 2 Amoroso, Francesco 2 Balasubramanian, Ramachandran 2 Berger, Arno 2 Bézivin, Jean-Paul 2 Bilu, Yuri F. 2 Bowman, Douglas C. 2 Brown, Francis C. S. 2 Bundschuh, Peter 2 Castillo-Medina, Jaime 2 Cijsouw, Pieter Leendert 2 Delaunay, Sandra 2 Drmota, Michael 2 Dumnicki, Marcin 2 Gorodnik, Alexander 2 Gouillon, Nicolas 2 Grady, Ryan E. 2 Gun, Sanoli 2 Habegger, Philipp 2 Kaidi, Justin 2 Kleinbock, Dmitry Ya. 2 Langevin, Michel 2 Lelis, Jean 2 Malara, Grzegorz 2 M’Zari, Mohammed 2 Philibert, Georges 2 Pintér, Ákos 2 Rath, Purusottam 2 Rhin, Georges 2 Saradha, N. 2 Schmidt, Wolfgang M. 2 Schneps, Leila 2 Shparlinski, Igor E. 2 Simons, John L. 2 Smyth, Christopher J. 2 Steuding, Jörn 2 Szpond, Justyna 2 Taylor, Bert Alan ...and 316 more Authors all top 5 Cited in 127 Serials 64 Journal of Number Theory 24 Journal de Théorie des Nombres de Bordeaux 20 Compositio Mathematica 16 Annales de l’Institut Fourier 13 Proceedings of the American Mathematical Society 12 Mathematical Notes 11 Inventiones Mathematicae 10 Monatshefte für Mathematik 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 International Journal of Number Theory 9 Bulletin of the Australian Mathematical Society 9 Bulletin de la Société Mathématique de France 8 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 8 Indagationes Mathematicae. New Series 7 Mathematics of Computation 7 Advances in Mathematics 7 Duke Mathematical Journal 7 Mathematische Annalen 7 The Ramanujan Journal 6 Proceedings of the Japan Academy. Series A 6 Acta Mathematica Hungarica 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Acta Mathematica 5 Manuscripta Mathematica 5 Transactions of the American Mathematical Society 4 Communications in Mathematical Physics 4 Rocky Mountain Journal of Mathematics 4 Acta Arithmetica 4 Archiv der Mathematik 4 Journal of Algebra 4 Journal of Pure and Applied Algebra 4 Journal of Symbolic Computation 4 Mémoires de la Société Mathématique de France. 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New Series 3 Journal of Mathematical Sciences (New York) 3 Journal of High Energy Physics 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Lithuanian Mathematical Journal 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Applied Mathematics and Computation 2 Canadian Mathematical Bulletin 2 Journal of Functional Analysis 2 Journal of Soviet Mathematics 2 Mathematika 2 Nagoya Mathematical Journal 2 Results in Mathematics 2 Revista Matemática Iberoamericana 2 Linear Algebra and its Applications 2 Experimental Mathematics 2 Annales Mathématiques Blaise Pascal 2 Bulletin des Sciences Mathématiques 2 Annals of Mathematics. Second Series 2 Journal of the Australian Mathematical Society 2 European Journal of Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Discrete Applied Mathematics 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Physica A 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 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 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Siberian Mathematical Journal 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Annals of Pure and Applied Logic 1 Journal of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Differential Geometry and its Applications 1 L’Enseignement Mathématique. 2e Série ...and 27 more Serials all top 5 Cited in 47 Fields 402 Number theory (11-XX) 81 Algebraic geometry (14-XX) 43 Functions of a complex variable (30-XX) 30 Special functions (33-XX) 18 Several complex variables and analytic spaces (32-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Combinatorics (05-XX) 15 Commutative algebra (13-XX) 14 Computer science (68-XX) 13 Field theory and polynomials (12-XX) 13 Quantum theory (81-XX) 6 Mathematical logic and foundations (03-XX) 6 Group theory and generalizations (20-XX) 6 Topological groups, Lie groups (22-XX) 6 Ordinary differential equations (34-XX) 6 Manifolds and cell complexes (57-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Probability theory and stochastic processes (60-XX) 4 Nonassociative rings and algebras (17-XX) 4 Real functions (26-XX) 4 Difference and functional equations (39-XX) 4 Differential geometry (53-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Measure and integration (28-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-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 Functional analysis (46-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-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 Abstract harmonic analysis (43-XX) 1 Operator theory (47-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. 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