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Waldschmidt, Michel

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Author ID: waldschmidt.michel Recent zbMATH articles by "Waldschmidt, Michel"
Published as: Waldschmidt, Michel; Waldschmidt, M.
Homepage: https://webusers.imj-prg.fr/~michel.waldschmidt/index2.html
External Links: IdRef · MGP · theses.fr · Math-Net.Ru · Wikidata · ORCID · dblp · GND
Member of Collective: Parent, D. P.
Documents Indexed: 204 Publications since 1970, including 16 Books
Reviewing Activity: 374 Reviews
Biographic References: 2 Publications
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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

Publications by Year

Citations contained in zbMATH Open

123 Publications have been cited 719 times in 460 Documents Cited by Year
Diophantine approximation on linear algebraic groups. Transcendence properties of the exponential function in several variables. Zbl 0944.11024
Waldschmidt, Michel
69
2000
Nombres transcendants. Zbl 0302.10030
Waldschmidt, Michel
52
1974
A lower bound for linear forms in logarithms. Zbl 0357.10017
Waldschmidt, Michel
41
1980
Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017
Waldschmidt, Michel
32
1979
Multiple zeta values: an introduction. (Valeurs zêta multiples. Une introduction.) Zbl 0976.11037
Waldschmidt, Michel
30
2000
Transcendance et exponentielles en plusieurs variables. Zbl 0454.10020
Waldschmidt, Michel
26
1981
Linear forms in two logarithms and Schneider’s method. Zbl 0349.10029
Mignotte, Maurice; Waldschmidt, Michel
22
1978
Linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes sur les groupes algébriques commutatifs.) Zbl 0651.10023
Philippon, Patrice; Waldschmidt, Michel
19
1988
Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044
Mignotte, Maurice; Waldschmidt, Michel
17
1989
Lower bounds for linear forms in logarithms of algebraic numbers. (Minorations de combinaisons linéaires de logarithmes de nombres algébriques.) Zbl 0774.11036
Waldschmidt, Michel
13
1993
Lower bounds for linear forms in logarithms. Zbl 0659.10037
Philippon, P.; Waldschmidt, M.
13
1988
Solution du huitieme problème de Schneider. Zbl 0262.10021
Waldschmidt, Michel
12
1973
Linear independence of logarithms of algebraic numbers (with an appendix by M. Laurent). Zbl 0809.11038
Waldschmidt, Michel
12
1992
Multiple polylogarithms: an introduction. Zbl 1035.11033
Waldschmidt, M.
12
2002
Transcendence measures for exponentials and logarithms. Zbl 0388.10022
Waldschmidt, Michel
12
1978
Propriétés arithmétiques de fonctions de plusieurs variables. II. Zbl 0363.32003
Waldschmidt, Michel
11
1977
Open Diophantine problems. Zbl 1066.11030
Waldschmidt, Michel
10
2004
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
Waldschmidt, Michel (ed.); Moussa, Pierre (ed.); Luck, Jean-Marc (ed.); Itzykson, Claude (ed.)
10
1992
On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033
Mignotte, Maurice; Waldschmidt, Michel
10
1994
Algebraic values of analytic functions. Zbl 1062.11049
Waldschmidt, Michel
10
2003
Linear forms and simultaneous approximations. Zbl 0345.10021
Cijsouw, Pieter L.; Waldschmidt, Michel
10
1977
Polya’s theorem by Schneider’s method. Zbl 0381.10029
Waldschmidt, M.
10
1978
Transcendence of periods: the state of the art. Zbl 1220.11090
Waldschmidt, Michel
9
2006
Sous-groupes analytiques de groupes algébriques. Zbl 0579.14039
Waldschmidt, Michel
9
1983
Recent advances in Diophantine approximation. Zbl 1271.11070
Waldschmidt, Michel
8
2012
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 0880.11054
Waldschmidt, Michel
8
1997
Simultaneous approximation and algebraic independence. Zbl 0916.11042
Roy, Damien; Waldschmidt, Michel
7
1997
Diophantine approximation and algebraic independence of logarithms. (Approximation diophantienne et indépendance algébrique de logarithmes.) Zbl 0895.11030
Roy, Damien; Waldschmidt, Michel
7
1997
Valeurs algébriques de fonctions analytiques. (Algebraic values of analytic functions). Zbl 0553.10026
Gramain, François; Mignotte, Maurice; Waldschmidt, Michel
6
1986
Algebraic independence of values of exponential functions. (Indépendance algébrique des valeurs de la fonction exponentielle.) Zbl 0224.10033
Waldschmidt, Michel
6
1971
Simultaneous linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes simultanées sur les groupes algébriques commutatifs.) Zbl 0681.10024
Philippon, P.; Waldschmidt, M.
6
1988
Simultaneous approximation of numbers connected with the exponential function. Zbl 0388.10023
Waldschmidt, Michel
6
1978
Linear forms in two logarithms and Schneider’s method. II. Zbl 0642.10034
Mignotte, Maurice; Waldschmidt, Michel
6
1989
On the maximal length of two sequences of consecutive integers with the same prime divisors. Zbl 0689.10049
Balasubramanian, R.; Shorey, T. N.; Waldschmidt, M.
5
1989
Approximation des valeurs de fonctions transcendantes. Zbl 0305.10027
Mignotte, Maurice; Waldschmidt, Michel
5
1975
Transcendence methods. Zbl 0432.10016
Waldschmidt, Michel
5
1979
On the transcendence methods of Gelfond and Schneider in several variables. Zbl 0659.10035
Waldschmidt, M.
5
1988
Groupes algébriques et grands degrés de transcendance. Appendice: Déformation d’un groupe algébrique par J. Fresnel. (Algebraic groups and large transcendence degrees). Zbl 0592.10028
Waldschmidt, Michel
5
1986
Formes linéaires de logarithmes elliptiques et mesures de transcendance. (Linear forms in elliptic logarithms and transcendence measures). Zbl 0692.10035
Philippon, Patrice; Waldschmidt, Michel
4
1989
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 0733.11020
Waldschmidt, Michel
4
1991
Families of Thue-Mahler equations having only trivial solutions. (Familles d’équations de Thue-Mahler n’ayant que des solutions triviales.) Zbl 1304.11016
Levesque, Claude; Waldschmidt, Michel
4
2012
Solution d’un problème de Schneider sur les nombres transcendants. Zbl 0206.05703
Waldschmidt, M.
4
1970
Quadratic relations between logarithms of algebraic numbers. Zbl 0860.11040
Roy, Damien; Waldschmidt, Michel
4
1995
Half a century of transcendence. (Un demi-siècle de transcendance.) Zbl 0977.11030
Waldschmidt, Michel
4
2000
Les travaux de G. V. Chudnovskiĭ sur les nombres transcendants. Zbl 0345.10020
Waldschmidt, Michel
4
1977
The algebraic independence of certain numbers to algebraic powers. Zbl 0357.10018
Brownawell, W. D.; Waldschmidt, M.
4
1977
Liouville numbers and Schanuel’s conjecture. Zbl 1294.11120
Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M.
4
2014
Auxiliary functions and analytical functionals. I. (Fonctions auxiliaires et fonctionnelles analytiques. I.) Zbl 0742.11035
Waldschmidt, Michel
3
1991
Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043
Roy, Damien; Waldschmidt, Michel
3
2004
Hopf algebras and transcendental numbers. Zbl 1170.11315
Waldschmidt, Michel
3
2005
Families of cubic Thue equations with effective bounds for the solutions. Zbl 1358.11050
Levesque, Claude; Waldschmidt, Michel
3
2013
On the arithmetic nature of the values of modular functions. (Sur la nature arithmétique des valeurs de fonctions modulaires.) Zbl 0908.11029
Waldschmidt, Michel
3
1997
Integer valued functions on products. Zbl 0885.11048
Waldschmidt, Michel
3
1997
Transcendental numbers and functions of several variables. Zbl 0791.11032
Waldschmidt, Michel
3
1993
Approximation simultanee de valeurs de la fonction exponentielle. Zbl 0345.10022
Mignotte, Maurice; Waldschmidt, Michel
3
1977
Solving effectively some families of Thue Diophantine equations. Zbl 1352.11035
Levesque, 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 1394.11030
Levesque, Claude; Waldschmidt, Michel
3
2015
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
3
1987
Algebraic independence of transcendental numbers. Gel’fond’s method and its developments. Zbl 0556.10023
Waldschmidt, Michel
3
1984
Solving simultaneously Thue equations in the almost totally imaginary case. Zbl 1418.11053
Levesque, Claude; Waldschmidt, Michel
3
2016
Auxiliary functions and analytical functionals. II. (Fonctions auxiliaires et fonctionnelles analytiques. II.) Zbl 0742.11036
Waldschmidt, Michel
2
1991
Number theory and physics. Proceedings of the winter school, Les Houches, France, March 7-16, 1989. Zbl 0702.00008
Luck, Jean-Marc (ed.); Moussa, Pierre (ed.); Waldschmidt, Michel (ed.)
2
1990
Dependence of logarithms of algebraic points. Zbl 0714.11043
Waldschmidt, M.
2
1990
Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005
Bertrand, D. (ed.); Waldschmidt, M. (ed.)
2
1983
Dependance de logarithmes dans les groupes algébriques. Zbl 0513.14028
Waldschmidt, M.
2
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 0531.10037
Waldschmidt, Michel; Zhu, Yaochen
2
1983
Density of rational points on an algebraic group. (Densité des points rationnels sur un groupe algébrique.) Zbl 0837.11040
Waldschmidt, Michel
2
1994
Simultaneous Fermat-Pell-Mahler equations. (Équations de Fermat-Pell-Mahler simultanées.) Zbl 1249.11053
Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel
2
2011
Further variations on the six exponentials theorem. Zbl 1116.11054
Waldschmidt, Michel
2
2005
Propriétés arithmétiques des valeurs de fonctions méromorphes algébriquement indépendantes. (Arithmetic properties of the values of algebraically independent meromorphic functions.). Zbl 0227.10022
Waldschmidt, Michel
2
1973
On the \(p\)-adic closure of a subgroup of rational points on an abelian variety. Zbl 1291.11104
Waldschmidt, Michel
2
2011
On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Zbl 0859.11012
Balasubramanian, R.; Langevin, M.; Shorey, T. N.; Waldschmidt, M.
2
1996
Extrapolation with interpolation determinants. Zbl 0938.11040
Waldschmidt, Michel
2
1998
Integer valued entire functions on Cartesian products. Zbl 0941.11028
Waldschmidt, Michel
2
1999
Elliptic functions and transcendence. Zbl 1210.11084
Waldschmidt, Michel
2
2008
Schanuel’s conjecture: algebraic independence of transcendental numbers. Zbl 1387.11057
Waldschmidt, Michel
2
2015
Density measure of rational points on Abelian varieties. Zbl 0931.11020
Waldschmidt, Michel
2
1999
On the algebraic subgroup theorem. (Autour du théorème du sous-groupe algébrique.) Zbl 0813.11041
Roy, Damien; Waldschmidt, Michel
2
1993
Transcendence problems connected with Drinfeld modules. Zbl 0802.11023
Waldschmidt, M.
2
1990
Nombres transcendants et fonctions sigma de Weierstrass. Zbl 0402.10037
Waldschmidt, Michel
2
1979
Variations on the six exponentials theorem. Zbl 1176.11033
Waldschmidt, Michel
2
2005
Lecture on the \(abc\) conjecture and some of its consequences. Zbl 1395.11056
Waldschmidt, Michel
2
2015
Representation of integers by cyclotomic binary forms. Zbl 1417.11028
Fouvry, Étienne; Levesque, Claude; Waldschmidt, Michel
2
2018
Irrationality results for theta functions by Gel’fond-Schneider’s method. Zbl 0642.10035
Bundschuh, Peter; Waldschmidt, Michel
2
1989
A family of Thue equations involving powers of units of the simplest cubic fields. Zbl 1395.11059
Levesque, Claude; Waldschmidt, Michel
2
2015
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
Langevin, M. (ed.); Waldschmidt, M. (ed.)
1
1990
Constructions de fonctions auxiliaires. (Constructions of auxiliary functions). Zbl 0770.11038
Waldschmidt, Michel
1
1992
Algebraic independence of certain numbers related to Liouville numbers. Zbl 0697.10029
Waldschmidt, Michel; Zhu, Yaochen
1
1990
Sur les méthodes de Schneider, Gel’fond et Baker. (On the methods of Schneider, Gel’fond and Baker). Zbl 0714.11042
Waldschmidt, Michel
1
1988
Indépendance algébrique de nombres de Liouville. (Algebraic independence of Liouville numbers). Zbl 0729.11035
Waldschmidt, Michel
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 0733.11021
Waldschmidt, Michel
1
1990
On meromorphic functions of one complex variable having algebraic Laurent coefficients. Zbl 0462.10023
Bertrand, Daniel; Waldschmidt, Michel
1
1981
Sur certains characteres du groupe des classes d’ideles d’un corps du nombres. Zbl 0494.12007
Waldschmidt, Michel
1
1982
Minorations du rang p-adique du groupe des unites. Zbl 0506.12006
Waldschmidt, Michel
1
1981
Les debuts de la théorie des nombres transcendants (a l’occasion du centenaire de la transcendance de pi). Zbl 0507.01004
Waldschmidt, Michel
1
1983
A lower bound for the p-adic rank of the units of an algebraic number field. Zbl 0541.12003
Waldschmidt, M.
1
1984
Transcendance et independance algébrique des valeurs de fonctions méromorphes. Zbl 0319.10038
Waldschmidt, Michel
1
1973
Words and transcendence. Zbl 1195.11095
Waldschmidt, Michel
1
2009
Amélioration d’un théoreme de Lang sur l’indépendance algébrique d’exponentielles. Zbl 0208.31001
Waldschmidt, M.
1
1971
Dimension algébrique de sous-groupes analytiques de variétés abeliennes. Zbl 0236.14020
Waldschmidt, Michel
1
1972
Representation of integers by cyclotomic binary forms. Zbl 1417.11028
Fouvry, Étienne; Levesque, Claude; Waldschmidt, Michel
2
2018
Families of Thue equations associated with a rank one subgroup of the unit group of a number field. Zbl 1428.11060
Levesque, Claude; Waldschmidt, Michel
1
2017
Parametric geometry of numbers in function fields. Zbl 1428.11126
Roy, Damien; Waldschmidt, Michel
1
2017
Solving simultaneously Thue equations in the almost totally imaginary case. Zbl 1418.11053
Levesque, Claude; Waldschmidt, Michel
3
2016
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 1394.11030
Levesque, Claude; Waldschmidt, Michel
3
2015
Schanuel’s conjecture: algebraic independence of transcendental numbers. Zbl 1387.11057
Waldschmidt, Michel
2
2015
Lecture on the \(abc\) conjecture and some of its consequences. Zbl 1395.11056
Waldschmidt, Michel
2
2015
A family of Thue equations involving powers of units of the simplest cubic fields. Zbl 1395.11059
Levesque, Claude; Waldschmidt, Michel
2
2015
Liouville numbers, Liouville sets and Liouville fields. Zbl 1320.11065
Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M.
1
2015
Liouville numbers and Schanuel’s conjecture. Zbl 1294.11120
Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M.
4
2014
Families of cubic Thue equations with effective bounds for the solutions. Zbl 1358.11050
Levesque, Claude; Waldschmidt, Michel
3
2013
Solving effectively some families of Thue Diophantine equations. Zbl 1352.11035
Levesque, Claude; Waldschmidt, Michel
3
2013
Matrices of finite abelian groups, finite Fourier transform and codes. Zbl 1331.20003
Kanemitsu, Shigeru; Waldschmidt, Michel
1
2013
Recent advances in Diophantine approximation. Zbl 1271.11070
Waldschmidt, Michel
8
2012
Families of Thue-Mahler equations having only trivial solutions. (Familles d’équations de Thue-Mahler n’ayant que des solutions triviales.) Zbl 1304.11016
Levesque, Claude; Waldschmidt, Michel
4
2012
Approximation of an algebraic number by products of rational numbers and units. Zbl 1300.11026
Levesque, Claude; Waldschmidt, Michel
1
2012
Simultaneous Fermat-Pell-Mahler equations. (Équations de Fermat-Pell-Mahler simultanées.) Zbl 1249.11053
Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel
2
2011
On the \(p\)-adic closure of a subgroup of rational points on an abelian variety. Zbl 1291.11104
Waldschmidt, Michel
2
2011
Some remarks on Diophantine equations and Diophantine approximation. Zbl 1247.11041
Levesque, Claude; Waldschmidt, Michel
1
2011
Words and transcendence. Zbl 1195.11095
Waldschmidt, Michel
1
2009
Elliptic functions and transcendence. Zbl 1210.11084
Waldschmidt, Michel
2
2008
Transcendence of periods: the state of the art. Zbl 1220.11090
Waldschmidt, Michel
9
2006
Hopf algebras and transcendental numbers. Zbl 1170.11315
Waldschmidt, Michel
3
2005
Further variations on the six exponentials theorem. Zbl 1116.11054
Waldschmidt, Michel
2
2005
Variations on the six exponentials theorem. Zbl 1176.11033
Waldschmidt, Michel
2
2005
Open Diophantine problems. Zbl 1066.11030
Waldschmidt, Michel
10
2004
Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043
Roy, Damien; Waldschmidt, Michel
3
2004
Algebraic values of analytic functions. Zbl 1062.11049
Waldschmidt, Michel
10
2003
Linear independence measures for logarithms of algebraic numbers. Zbl 1093.11054
Waldschmidt, Michel
1
2003
Multiple polylogarithms: an introduction. Zbl 1035.11033
Waldschmidt, M.
12
2002
Diophantine approximation on linear algebraic groups. Transcendence properties of the exponential function in several variables. Zbl 0944.11024
Waldschmidt, Michel
69
2000
Multiple zeta values: an introduction. (Valeurs zêta multiples. Une introduction.) Zbl 0976.11037
Waldschmidt, Michel
30
2000
Half a century of transcendence. (Un demi-siècle de transcendance.) Zbl 0977.11030
Waldschmidt, Michel
4
2000
On a problem of Mahler concerning the approximation of exponentials and logarithms. Zbl 1002.11061
Waldschmidt, Michel
1
2000
Integer valued entire functions on Cartesian products. Zbl 0941.11028
Waldschmidt, Michel
2
1999
Density measure of rational points on Abelian varieties. Zbl 0931.11020
Waldschmidt, Michel
2
1999
From simultaneous approximations to algebraic independence. Zbl 0930.11056
Waldschmidt, Michel
1
1999
Transcendence and algebraic independence of values of modular functions. (Transcendance et indépendance algébrique de valeurs de fonctions modulaires.) Zbl 0930.11055
Waldschmidt, Michel
1
1999
On the distribution of solutions of Thue’s equation. Zbl 0934.11014
Brindza, Béla; Pintér, Ákos; van der Poorten, Alfred J.; Waldschmidt, Michel
1
1999
Zeros of linear recurrence sequences. Zbl 0926.11019
Schlickewei, Hans Peter; Schmidt, Wolfgang M.; Waldschmidt, Michel
1
1999
Extrapolation with interpolation determinants. Zbl 0938.11040
Waldschmidt, 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 0880.11054
Waldschmidt, Michel
8
1997
Simultaneous approximation and algebraic independence. Zbl 0916.11042
Roy, Damien; Waldschmidt, Michel
7
1997
Diophantine approximation and algebraic independence of logarithms. (Approximation diophantienne et indépendance algébrique de logarithmes.) Zbl 0895.11030
Roy, 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 0908.11029
Waldschmidt, Michel
3
1997
Integer valued functions on products. Zbl 0885.11048
Waldschmidt, Michel
3
1997
On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Zbl 0859.11012
Balasubramanian, R.; Langevin, M.; Shorey, T. N.; Waldschmidt, M.
2
1996
Dependence of logarithms on commutative algebraic groups. Zbl 0883.11036
Waldschmidt, Michel
1
1996
Quadratic relations between logarithms of algebraic numbers. Zbl 0860.11040
Roy, Damien; Waldschmidt, Michel
4
1995
On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033
Mignotte, Maurice; Waldschmidt, Michel
10
1994
Density of rational points on an algebraic group. (Densité des points rationnels sur un groupe algébrique.) Zbl 0837.11040
Waldschmidt, Michel
2
1994
Lower bounds for linear forms in logarithms of algebraic numbers. (Minorations de combinaisons linéaires de logarithmes de nombres algébriques.) Zbl 0774.11036
Waldschmidt, Michel
13
1993
Transcendental numbers and functions of several variables. Zbl 0791.11032
Waldschmidt, Michel
3
1993
On the algebraic subgroup theorem. (Autour du théorème du sous-groupe algébrique.) Zbl 0813.11041
Roy, Damien; Waldschmidt, Michel
2
1993
Linear independence of logarithms of algebraic numbers (with an appendix by M. Laurent). Zbl 0809.11038
Waldschmidt, Michel
12
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
Waldschmidt, Michel; Moussa, Pierre; Luck, Jean-Marc; Itzykson, Claude
10
1992
Constructions de fonctions auxiliaires. (Constructions of auxiliary functions). Zbl 0770.11038
Waldschmidt, 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 0733.11020
Waldschmidt, Michel
4
1991
Auxiliary functions and analytical functionals. I. (Fonctions auxiliaires et fonctionnelles analytiques. I.) Zbl 0742.11035
Waldschmidt, Michel
3
1991
Auxiliary functions and analytical functionals. II. (Fonctions auxiliaires et fonctionnelles analytiques. II.) Zbl 0742.11036
Waldschmidt, Michel
2
1991
Number theory and physics. Proceedings of the winter school, Les Houches, France, March 7-16, 1989. Zbl 0702.00008
Luck, Jean-Marc; Moussa, Pierre; Waldschmidt, Michel
2
1990
Dependence of logarithms of algebraic points. Zbl 0714.11043
Waldschmidt, M.
2
1990
Transcendence problems connected with Drinfeld modules. Zbl 0802.11023
Waldschmidt, M.
2
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
Langevin, M.; Waldschmidt, M.
1
1990
Algebraic independence of certain numbers related to Liouville numbers. Zbl 0697.10029
Waldschmidt, Michel; Zhu, Yaochen
1
1990
Indépendance algébrique de nombres de Liouville. (Algebraic independence of Liouville numbers). Zbl 0729.11035
Waldschmidt, Michel
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 0733.11021
Waldschmidt, Michel
1
1990
Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044
Mignotte, Maurice; Waldschmidt, Michel
17
1989
Linear forms in two logarithms and Schneider’s method. II. Zbl 0642.10034
Mignotte, Maurice; Waldschmidt, Michel
6
1989
On the maximal length of two sequences of consecutive integers with the same prime divisors. Zbl 0689.10049
Balasubramanian, 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 0692.10035
Philippon, Patrice; Waldschmidt, Michel
4
1989
Irrationality results for theta functions by Gel’fond-Schneider’s method. Zbl 0642.10035
Bundschuh, Peter; Waldschmidt, Michel
2
1989
Linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes sur les groupes algébriques commutatifs.) Zbl 0651.10023
Philippon, Patrice; Waldschmidt, Michel
19
1988
Lower bounds for linear forms in logarithms. Zbl 0659.10037
Philippon, 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 0681.10024
Philippon, P.; Waldschmidt, M.
6
1988
On the transcendence methods of Gelfond and Schneider in several variables. Zbl 0659.10035
Waldschmidt, M.
5
1988
Sur les méthodes de Schneider, Gel’fond et Baker. (On the methods of Schneider, Gel’fond and Baker). Zbl 0714.11042
Waldschmidt, 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 0621.10022
Waldschmidt, Michel
3
1987
A lower bound for linear forms in the logarithms of algebraic numbers. Zbl 0623.10023
Loxton, J. H.; Mignotte, M.; van der Poorten, A. J.; Waldschmidt, M.
1
1987
Valeurs algébriques de fonctions analytiques. (Algebraic values of analytic functions). Zbl 0553.10026
Gramain, 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 0592.10028
Waldschmidt, Michel
5
1986
Algebraic independence of values of exponential and elliptic functions. Zbl 0616.10029
Waldschmidt, 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 0571.10034
Waldschmidt, Michel
1
1985
Algebraic independence of transcendental numbers. Gel’fond’s method and its developments. Zbl 0556.10023
Waldschmidt, Michel
3
1984
A lower bound for the p-adic rank of the units of an algebraic number field. Zbl 0541.12003
Waldschmidt, M.
1
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
Sous-groupes analytiques de groupes algébriques. Zbl 0579.14039
Waldschmidt, Michel
9
1983
Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005
Bertrand, D.; Waldschmidt, M.
2
1983
Dependance de logarithmes dans les groupes algébriques. Zbl 0513.14028
Waldschmidt, M.
2
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 0531.10037
Waldschmidt, Michel; Zhu, Yaochen
2
1983
Les debuts de la théorie des nombres transcendants (a l’occasion du centenaire de la transcendance de pi). Zbl 0507.01004
Waldschmidt, Michel
1
1983
Sur certains characteres du groupe des classes d’ideles d’un corps du nombres. Zbl 0494.12007
Waldschmidt, Michel
1
1982
Transcendance et exponentielles en plusieurs variables. Zbl 0454.10020
Waldschmidt, Michel
26
1981
On meromorphic functions of one complex variable having algebraic Laurent coefficients. Zbl 0462.10023
Bertrand, Daniel; Waldschmidt, Michel
1
1981
Minorations du rang p-adique du groupe des unites. Zbl 0506.12006
Waldschmidt, Michel
1
1981
A lower bound for linear forms in logarithms. Zbl 0357.10017
Waldschmidt, Michel
41
1980
Fonctions abéliennes et nombres transcendants. Colloque tenu du 23 au 26 mai 1979 à l’École Polytechnique, Palaiseau. Zbl 0441.00008
Bertrand, D.; Waldschmidt, M.
1
1980
Propriétés arithmétiques de fonctions de plusieurs variables. III. Zbl 0444.10028
Waldschmidt, Michel
1
1980
Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017
Waldschmidt, Michel
32
1979
Transcendence methods. Zbl 0432.10016
Waldschmidt, Michel
5
1979
...and 23 more Documents
all top 5

Cited by 408 Authors

29 Waldschmidt, Michel
15 Dubickas, Artūras
14 Bugeaud, Yann
14 Roy, Damien
12 Marques, Diego
9 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 Gaudron, Éric
5 Gramain, Francois
5 Hirata-Kohno, Noriko
5 Luca, Florian
5 Moreira, Carlos Gustavo Tamm de Araujo
5 Rivoal, Tanguy
5 Yu, Kunrui
4 Adamczewski, Boris
4 Berenstein, Carlos Alberto
4 Bertrand, Daniel
4 Bradley, David M.
4 Corvaja, Pietro
4 David, Sinnou
4 Levesque, Claude
4 Manchon, Dominique
4 Murty, Maruti Ram
4 Nakamaye, Michael
4 Pethő, Attila
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 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 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 Balakrishnan, Jennifer S.
2 Balasubramanian, Ramachandran
2 Berger, Arno
2 Bézivin, Jean-Paul
2 Bilu, Yuri F.
2 Bowman, Douglas C.
2 Brown, Francis C. S.
2 Brownawell, W. Dale
2 Bundschuh, Peter
2 Castillo-Medina, Jaime
2 Cijsouw, Pieter Leendert
2 Delaunay, Sandra
2 Drmota, Michael
2 Dumnicki, Marcin
2 Gorodnik, Alexander
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 Schneps, Leila
2 Shparlinski, Igor E.
2 Simons, John L.
2 Simsek, Yilmaz
2 Steuding, Jörn
2 Szpond, Justyna
2 Taylor, Bert Alan
2 Tijdeman, Robert
2 Tutaj-Gasińska, Halszka
2 Varjú, Péter Pál
2 Vorob’ëv, Nikolaĭ N. jun.
...and 308 more Authors
all top 5

Cited in 127 Serials

57 Journal of Number Theory
24 Journal de Théorie des Nombres de Bordeaux
20 Compositio Mathematica
17 Annales de l’Institut Fourier
13 Proceedings of the American Mathematical Society
12 Mathematical Notes
11 Inventiones Mathematicae
10 Monatshefte für Mathematik
10 International Journal of Number Theory
9 Bulletin of the Australian Mathematical Society
9 Bulletin de la Société Mathématique de France
8 Mathematics of Computation
8 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Advances in Mathematics
7 Duke Mathematical Journal
7 Mathematische Annalen
7 Indagationes Mathematicae. New Series
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 Israel Journal of Mathematics
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 Mémoires de la Société Mathématique de France. Nouvelle Série
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Zeitschrift
3 Rendiconti del Seminario Matematico della Università di Padova
3 Journal of Symbolic Computation
3 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
3 Bulletin of the American Mathematical Society. New Series
3 Acta Mathematica Sinica. New Series
3 Journal of Mathematical Sciences (New York)
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Journal d’Analyse Mathématique
2 Lithuanian Mathematical Journal
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Canadian Mathematical Bulletin
2 Journal of Soviet Mathematics
2 Mathematika
2 Nagoya Mathematical Journal
2 Results in Mathematics
2 Theoretical Computer Science
2 Revista Matemática Iberoamericana
2 L’Enseignement Mathématique. 2e Série
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 High Energy Physics
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 Mathematical Analysis and Applications
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 Applied Mathematics and Computation
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 Journal of Functional Analysis
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
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 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Stochastic Processes and their Applications
...and 27 more Serials
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Cited in 46 Fields

393 Number theory (11-XX)
81 Algebraic geometry (14-XX)
43 Functions of a complex variable (30-XX)
28 Special functions (33-XX)
18 Several complex variables and analytic spaces (32-XX)
16 Commutative algebra (13-XX)
16 Dynamical systems and ergodic theory (37-XX)
14 Combinatorics (05-XX)
13 Field theory and polynomials (12-XX)
13 Computer science (68-XX)
11 Quantum theory (81-XX)
6 Mathematical logic and foundations (03-XX)
6 Ordinary differential equations (34-XX)
6 Approximations and expansions (41-XX)
5 Group theory and generalizations (20-XX)
5 Topological groups, Lie groups (22-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Manifolds and cell complexes (57-XX)
5 Probability theory and stochastic processes (60-XX)
5 Numerical analysis (65-XX)
4 Real functions (26-XX)
4 Difference and functional equations (39-XX)
3 History and biography (01-XX)
3 Associative rings and algebras (16-XX)
3 Nonassociative rings and algebras (17-XX)
3 Measure and integration (28-XX)
3 Convex and discrete geometry (52-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Potential theory (31-XX)
2 Partial differential equations (35-XX)
2 Functional analysis (46-XX)
2 General topology (54-XX)
2 Statistics (62-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 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Information and communication theory, circuits (94-XX)

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