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Waldschmidt, Michel

Author ID: waldschmidt.michel Recent zbMATH articles by "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.
all top 5

Co-Authors

152 single-authored
13 Levesque, Claude
10 Mignotte, Maurice
8 Bertrand, Daniel
7 Roy, Damien
6 Philippon, Patrice
5 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

Publications by Year

Citations contained in zbMATH Open

141 Publications have been cited 893 times in 587 Documents Cited by Year
Diophantine approximation on linear algebraic groups. Transcendence properties of the exponential function in several variables. Zbl 0944.11024
Waldschmidt, Michel
104
2000
Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Zbl 0676.14005
Serre, Jean-Pierre
65
1989
Nombres transcendants. Zbl 0302.10030
Waldschmidt, Michel
58
1974
A lower bound for linear forms in logarithms. Zbl 0357.10017
Waldschmidt, Michel
42
1980
Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017
Waldschmidt, Michel
39
1979
Multiple zeta values: an introduction. (Valeurs zêta multiples. Une introduction.) Zbl 0976.11037
Waldschmidt, Michel
37
2000
Transcendance et exponentielles en plusieurs variables. Zbl 0454.10020
Waldschmidt, Michel
30
1981
Propriétés arithmétiques de fonctions de plusieurs variables. II. Zbl 0363.32003
Waldschmidt, Michel
24
1977
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
23
2001
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
21
1988
Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044
Mignotte, Maurice; Waldschmidt, Michel
17
1989
Linear independence of logarithms of algebraic numbers (with an appendix by M. Laurent). Zbl 0809.11038
Waldschmidt, Michel
15
1992
Multiple polylogarithms: an introduction. Zbl 1035.11033
Waldschmidt, M.
15
2002
Lower bounds for linear forms in logarithms. Zbl 0659.10037
Philippon, P.; Waldschmidt, M.
14
1988
Lower bounds for linear forms in logarithms of algebraic numbers. (Minorations de combinaisons linéaires de logarithmes de nombres algébriques.) Zbl 0774.11036
Waldschmidt, Michel
14
1993
Solution du huitieme problème de Schneider. Zbl 0262.10021
Waldschmidt, Michel
13
1973
Transcendence of periods: the state of the art. Zbl 1220.11090
Waldschmidt, Michel
13
2006
Transcendence measures for exponentials and logarithms. Zbl 0388.10022
Waldschmidt, Michel
13
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
13
1992
Polya’s theorem by Schneider’s method. Zbl 0381.10029
Waldschmidt, M.
12
1978
Algebraic values of analytic functions. Zbl 1062.11049
Waldschmidt, Michel
11
2003
On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033
Mignotte, Maurice; Waldschmidt, Michel
11
1994
Linear forms and simultaneous approximations. Zbl 0345.10021
Cijsouw, Pieter L.; Waldschmidt, Michel
10
1977
Open Diophantine problems. Zbl 1066.11030
Waldschmidt, Michel
10
2004
Recent advances in Diophantine approximation. Zbl 1271.11070
Waldschmidt, Michel
9
2012
Sous-groupes analytiques de groupes algébriques. Zbl 0579.14039
Waldschmidt, 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 0880.11054
Waldschmidt, Michel
8
1997
Liouville numbers and Schanuel’s conjecture. Zbl 1294.11120
Kumar, K. Senthil; Thangadurai, R.; Waldschmidt, M.
8
2014
Valeurs algébriques de fonctions analytiques. (Algebraic values of analytic functions). Zbl 0553.10026
Gramain, François; Mignotte, Maurice; Waldschmidt, Michel
7
1986
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
Simultaneous approximation of numbers connected with the exponential function. Zbl 0388.10023
Waldschmidt, Michel
7
1978
Linear forms in two logarithms and Schneider’s method. II. Zbl 0642.10034
Mignotte, Maurice; Waldschmidt, Michel
6
1989
On the transcendence methods of Gelfond and Schneider in several variables. Zbl 0659.10035
Waldschmidt, M.
6
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
Algebraic independence of values of exponential functions. (Indépendance algébrique des valeurs de la fonction exponentielle.) Zbl 0224.10033
Waldschmidt, Michel
6
1971
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
6
1986
Algebraic independence of transcendental numbers. Gel’fond’s method and its developments. Zbl 0556.10023
Waldschmidt, Michel
5
1984
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
On the arithmetic nature of the values of modular functions. (Sur la nature arithmétique des valeurs de fonctions modulaires.) Zbl 0908.11029
Waldschmidt, Michel
5
1997
Elliptic functions and transcendence. Zbl 1210.11084
Waldschmidt, Michel
5
2008
Formes linéaires de logarithmes elliptiques et mesures de transcendance. (Linear forms in elliptic logarithms and transcendence measures). Zbl 0692.10035
Philippon, Patrice; Waldschmidt, Michel
5
1989
Quadratic relations between logarithms of algebraic numbers. Zbl 0860.11040
Roy, Damien; Waldschmidt, Michel
5
1995
Approximation des valeurs de fonctions transcendantes. Zbl 0305.10027
Mignotte, Maurice; Waldschmidt, Michel
5
1975
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
5
1987
Transcendence methods. Zbl 0432.10016
Waldschmidt, Michel
5
1979
Approximations diophantiennes et nombres transcendants. Colloque de Luminy, 1982. Zbl 0504.00005
4
1983
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
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
Propriétés arithmétiques des valeurs de fonctions méromorphes algébriquement indépendantes. (Arithmetic properties of the values of algebraically independent meromorphic functions.). Zbl 0227.10022
Waldschmidt, Michel
4
1973
The algebraic independence of certain numbers to algebraic powers. Zbl 0357.10018
Brownawell, W. D.; Waldschmidt, M.
4
1977
Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043
Roy, Damien; Waldschmidt, Michel
4
2004
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
Number theory and physics. Proceedings of the winter school, Les Houches, France, March 7–16, 1989. Zbl 0702.00008
4
1990
A family of Thue equations involving powers of units of the simplest cubic fields. Zbl 1395.11059
Levesque, Claude; Waldschmidt, Michel
4
2015
On the representation of integers by cyclotomic forms with large degree. Zbl 1455.11066
Fouvry, Étienne; Waldschmidt, Michel
4
2020
Representation of integers by cyclotomic binary forms. Zbl 1417.11028
Fouvry, Étienne; Levesque, Claude; Waldschmidt, Michel
4
2018
Matrices of finite abelian groups, finite Fourier transform and codes. Zbl 1331.20003
Kanemitsu, Shigeru; Waldschmidt, Michel
4
2013
Sur certains characteres du groupe des classes d’ideles d’un corps du nombres. Zbl 0494.12007
Waldschmidt, Michel
3
1982
Dependance de logarithmes dans les groupes algébriques. Zbl 0513.14028
Waldschmidt, M.
3
1983
A lower bound for the p-adic rank of the units of an algebraic number field. Zbl 0541.12003
Waldschmidt, M.
3
1984
Density measure of rational points on Abelian varieties. Zbl 0931.11020
Waldschmidt, Michel
3
1999
Density of rational points on an algebraic group. (Densité des points rationnels sur un groupe algébrique.) Zbl 0837.11040
Waldschmidt, Michel
3
1994
Approximation simultanee de valeurs de la fonction exponentielle. Zbl 0345.10022
Mignotte, Maurice; Waldschmidt, Michel
3
1977
Hopf algebras and transcendental numbers. Zbl 1170.11315
Waldschmidt, Michel
3
2005
Variations on the six exponentials theorem. Zbl 1176.11033
Waldschmidt, Michel
3
2005
Further variations on the six exponentials theorem. Zbl 1116.11054
Waldschmidt, Michel
3
2005
Dependence of logarithms of algebraic points. Zbl 0714.11043
Waldschmidt, M.
3
1990
Indépendance algébrique de nombres de Liouville. (Algebraic independence of Liouville numbers). Zbl 0729.11035
Waldschmidt, Michel
3
1990
Auxiliary functions and analytical functionals. I. (Fonctions auxiliaires et fonctionnelles analytiques. I.) Zbl 0742.11035
Waldschmidt, Michel
3
1991
Integer valued functions on products. Zbl 0885.11048
Waldschmidt, Michel
3
1997
Nombres transcendants et fonctions sigma de Weierstrass. Zbl 0402.10037
Waldschmidt, Michel
3
1979
Transcendental numbers and functions of several variables. Zbl 0791.11032
Waldschmidt, Michel
3
1993
Transcendence problems connected with Drinfeld modules. Zbl 0802.11023
Waldschmidt, M.
3
1990
Simultaneous Fermat-Pell-Mahler equations. (Équations de Fermat-Pell-Mahler simultanées.) Zbl 1249.11053
Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel
3
2011
Solving effectively some families of Thue Diophantine equations. Zbl 1352.11035
Levesque, Claude; Waldschmidt, Michel
3
2013
Lecture on the \(abc\) conjecture and some of its consequences. Zbl 1395.11056
Waldschmidt, 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 1394.11030
Levesque, Claude; Waldschmidt, Michel
3
2015
On the \(p\)-adic closure of a subgroup of rational points on an abelian variety. Zbl 1291.11104
Waldschmidt, Michel
3
2011
Families of cubic Thue equations with effective bounds for the solutions. Zbl 1358.11050
Levesque, Claude; Waldschmidt, Michel
3
2013
Solving simultaneously Thue equations in the almost totally imaginary case. Zbl 1418.11053
Levesque, Claude; Waldschmidt, Michel
3
2016
Irrationality results for theta functions by Gel’fond-Schneider’s method. Zbl 0642.10035
Bundschuh, Peter; Waldschmidt, Michel
2
1989
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
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
Parametric geometry of numbers in function fields. Zbl 1428.11126
Roy, Damien; Waldschmidt, Michel
2
2017
Zeros of linear recurrence sequences. Zbl 0926.11019
Schlickewei, Hans Peter; Schmidt, Wolfgang M.; Waldschmidt, Michel
2
1999
Transcendence and algebraic independence of values of modular functions. (Transcendance et indépendance algébrique de valeurs de fonctions modulaires.) Zbl 0930.11055
Waldschmidt, Michel
2
1999
Extrapolation with interpolation determinants. Zbl 0938.11040
Waldschmidt, Michel
2
1998
On the distribution of solutions of Thue’s equation. Zbl 0934.11014
Brindza, Béla; Pintér, Ákos; van der Poorten, Alfred J.; Waldschmidt, Michel
2
1999
Integer valued entire functions on Cartesian products. Zbl 0941.11028
Waldschmidt, Michel
2
1999
Words and transcendence. Zbl 1195.11095
Waldschmidt, Michel
2
2009
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
2
1985
Algebraic independence of values of exponential and elliptic functions. Zbl 0616.10029
Waldschmidt, Michel
2
1986
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.
2
1987
Auxiliary functions and analytical functionals. II. (Fonctions auxiliaires et fonctionnelles analytiques. II.) Zbl 0742.11036
Waldschmidt, Michel
2
1991
On the algebraic subgroup theorem. (Autour du théorème du sous-groupe algébrique.) Zbl 0813.11041
Roy, Damien; Waldschmidt, Michel
2
1993
Schanuel’s conjecture: algebraic independence of transcendental numbers. Zbl 1387.11057
Waldschmidt, Michel
2
2015
The four exponentials problem and Schanuel’s conjecture. Zbl 07773782
Waldschmidt, Michel
1
2023
On transcendental entire functions with infinitely many derivatives taking integer values at two points. Zbl 1488.30174
Waldschmidt, M.
1
2021
On entire functions of several variables with derivatives of even order taking integer values. Zbl 1492.32002
Waldschmidt, Michel
1
2021
On the representation of integers by cyclotomic forms with large degree. Zbl 1455.11066
Fouvry, Étienne; Waldschmidt, Michel
4
2020
Thue Diophantine equations. Zbl 1456.11034
Waldschmidt, Michel
1
2020
Representation of integers by cyclotomic binary forms. Zbl 1417.11028
Fouvry, Étienne; Levesque, Claude; Waldschmidt, Michel
4
2018
Parametric geometry of numbers in function fields. Zbl 1428.11126
Roy, Damien; Waldschmidt, Michel
2
2017
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
Solving simultaneously Thue equations in the almost totally imaginary case. Zbl 1418.11053
Levesque, Claude; Waldschmidt, Michel
3
2016
A family of Thue equations involving powers of units of the simplest cubic fields. Zbl 1395.11059
Levesque, Claude; Waldschmidt, Michel
4
2015
Lecture on the \(abc\) conjecture and some of its consequences. Zbl 1395.11056
Waldschmidt, 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 1394.11030
Levesque, Claude; Waldschmidt, Michel
3
2015
Schanuel’s conjecture: algebraic independence of transcendental numbers. Zbl 1387.11057
Waldschmidt, Michel
2
2015
Tell me about \(\ldots\) a period. (Raconte-moi \(\ldots\) une période.) Zbl 1358.11003
Waldschmidt, M.
1
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.
8
2014
Matrices of finite abelian groups, finite Fourier transform and codes. Zbl 1331.20003
Kanemitsu, Shigeru; Waldschmidt, Michel
4
2013
Solving effectively some families of Thue Diophantine equations. Zbl 1352.11035
Levesque, Claude; Waldschmidt, Michel
3
2013
Families of cubic Thue equations with effective bounds for the solutions. Zbl 1358.11050
Levesque, Claude; Waldschmidt, Michel
3
2013
Recent advances in Diophantine approximation. Zbl 1271.11070
Waldschmidt, 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 1304.11016
Levesque, Claude; Waldschmidt, Michel
4
2012
Questions of transcendence: big conjectures, little progress. (Questions de transcendance: grandes conjectures, petits progrès.) Zbl 1362.11068
Waldschmidt, Michel
1
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
3
2011
On the \(p\)-adic closure of a subgroup of rational points on an abelian variety. Zbl 1291.11104
Waldschmidt, Michel
3
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
2
2009
Elliptic functions and transcendence. Zbl 1210.11084
Waldschmidt, Michel
5
2008
Transcendence of periods: the state of the art. Zbl 1220.11090
Waldschmidt, 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 1164.01006
Waldschmidt, Michel
1
2006
Hopf algebras and transcendental numbers. Zbl 1170.11315
Waldschmidt, Michel
3
2005
Variations on the six exponentials theorem. Zbl 1176.11033
Waldschmidt, Michel
3
2005
Further variations on the six exponentials theorem. Zbl 1116.11054
Waldschmidt, Michel
3
2005
Open Diophantine problems. Zbl 1066.11030
Waldschmidt, Michel
10
2004
Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043
Roy, Damien; Waldschmidt, Michel
4
2004
Algebraic values of analytic functions. Zbl 1062.11049
Waldschmidt, Michel
11
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.
15
2002
Number theory and discrete mathematics. Proceedings of the international conference in honour of Srinivasa Ramanujan, Chandigarh, India, October 2–6, 2000. Zbl 0997.00018
1
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
23
2001
Diophantine approximation on linear algebraic groups. Transcendence properties of the exponential function in several variables. Zbl 0944.11024
Waldschmidt, Michel
104
2000
Multiple zeta values: an introduction. (Valeurs zêta multiples. Une introduction.) Zbl 0976.11037
Waldschmidt, Michel
37
2000
Half a century of transcendence. (Un demi-siècle de transcendance.) Zbl 0977.11030
Waldschmidt, Michel
4
2000
Algebraic independence of transcendental numbers: a survey. Zbl 1072.11510
Waldschmidt, Michel
1
2000
On a problem of Mahler concerning the approximation of exponentials and logarithms. Zbl 1002.11061
Waldschmidt, Michel
1
2000
Density measure of rational points on Abelian varieties. Zbl 0931.11020
Waldschmidt, Michel
3
1999
Zeros of linear recurrence sequences. Zbl 0926.11019
Schlickewei, Hans Peter; Schmidt, Wolfgang M.; Waldschmidt, Michel
2
1999
Transcendence and algebraic independence of values of modular functions. (Transcendance et indépendance algébrique de valeurs de fonctions modulaires.) Zbl 0930.11055
Waldschmidt, Michel
2
1999
On the distribution of solutions of Thue’s equation. Zbl 0934.11014
Brindza, Béla; Pintér, Ákos; van der Poorten, Alfred J.; Waldschmidt, Michel
2
1999
Integer valued entire functions on Cartesian products. Zbl 0941.11028
Waldschmidt, Michel
2
1999
From simultaneous approximations to algebraic independence. Zbl 0930.11056
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
5
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
5
1995
Density of rational points on an algebraic group. Errata. (Densité des points rationnels sur un groupe algébrique (errata).) Zbl 0853.11057
Waldschmidt, Michel
1
1995
On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033
Mignotte, Maurice; Waldschmidt, Michel
11
1994
Density of rational points on an algebraic group. (Densité des points rationnels sur un groupe algébrique.) Zbl 0837.11040
Waldschmidt, Michel
3
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
14
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
15
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
13
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
4
1990
Dependence of logarithms of algebraic points. Zbl 0714.11043
Waldschmidt, M.
3
1990
Indépendance algébrique de nombres de Liouville. (Algebraic independence of Liouville numbers). Zbl 0729.11035
Waldschmidt, Michel
3
1990
Transcendence problems connected with Drinfeld modules. Zbl 0802.11023
Waldschmidt, M.
3
1990
Algebraic independence of certain numbers related to Liouville numbers. Zbl 0697.10029
Waldschmidt, 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 0733.11021
Waldschmidt, Michel
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 0683.00011
1
1990
Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Zbl 0676.14005
Serre, Jean-Pierre
65
1989
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
5
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
21
1988
Lower bounds for linear forms in logarithms. Zbl 0659.10037
Philippon, P.; Waldschmidt, M.
14
1988
On the transcendence methods of Gelfond and Schneider in several variables. Zbl 0659.10035
Waldschmidt, M.
6
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
Some transcendental aspects of Ramanujan’s work. Zbl 0696.10029
Waldschmidt, Michel
1
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
5
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.
2
1987
Valeurs algébriques de fonctions analytiques. (Algebraic values of analytic functions). Zbl 0553.10026
Gramain, 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 0592.10028
Waldschmidt, Michel
6
1986
Algebraic independence of values of exponential and elliptic functions. Zbl 0616.10029
Waldschmidt, 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 0571.10034
Waldschmidt, Michel
2
1985
Algebraic independence of transcendental numbers. Gel’fond’s method and its developments. Zbl 0556.10023
Waldschmidt, Michel
5
1984
A lower bound for the p-adic rank of the units of an algebraic number field. Zbl 0541.12003
Waldschmidt, M.
3
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
...and 41 more Documents
all top 5

Cited by 564 Authors

37 Waldschmidt, Michel
18 Bugeaud, Yann
17 Dubickas, Artūras
15 Roy, Damien
14 Marques, Diego
10 Masser, David William
9 Mignotte, Maurice
9 Philippon, Patrice
7 Ably, Mohammed
7 Diaz, Guy
7 Fischler, Stéphane
7 Harbourne, Brian
7 Hirata-Kohno, Noriko
7 Laurent, Michel
7 Le, Maohua
7 Sha, Min
6 Adamczewski, Boris
6 Pethő, Attila
6 Rivoal, Tanguy
6 Tubbs, Robert
5 Chalebgwa, Taboka Prince
5 Corvaja, Pietro
5 David, Sinnou
5 Gaudron, Éric
5 Gramain, Francois
5 Luca, Florian
5 Moreira, Carlos Gustavo Tamm de Araujo
5 Murty, Maruti Ram
5 Stewart, Cameron L.
5 Yu, Kunrui
4 Berenstein, Carlos Alberto
4 Bertrand, Daniel
4 Bradley, David M.
4 Escassut, Alain
4 Levesque, Claude
4 Manchon, Dominique
4 Nakamaye, Michael
4 Pila, Jonathan
4 Rayaguru, Sai Gopal
4 Schleischitz, Johannes
4 Seceleanu, Alexandra
4 Shorey, Tarlok Nath
4 Szemberg, Tomasz
4 Tzanakis, Nikos
4 Wüstholz, Gisbert
4 Zannier, Umberto M.
4 Zhu, Yaochen
3 Amoroso, Francesco Antonio
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 Mosunov, Anton S.
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
3 Ziegler, Volker
2 Balasubramanian, Ramachandran
2 Barbagallo, María Laura
2 Bell, Jason P.
2 Berger, Arno
2 Bézivin, Jean-Paul
2 Bilu, Yuri F.
2 Bocci, Cristiano
2 Bowman, Douglas C.
2 Bravo, Jhon Jairo
2 Brown, Francis C. S.
2 Brownawell, W. Dale
2 Bundschuh, Peter
2 Castillo-Medina, Jaime
2 Chang, Chieh-Yu
2 Chapoton, Frédéric
2 Chistikov, Dmitry V.
2 Cijsouw, Pieter Leendert
2 Cresson, Jacky
2 Delaunay, Sandra
2 Dipasquale, Michael R.
2 Dogra, Netan
2 Drmota, Michael
...and 464 more Authors
all top 5

Cited in 158 Serials

64 Journal of Number Theory
27 Journal de Théorie des Nombres de Bordeaux
21 Compositio Mathematica
18 Annales de l’Institut Fourier
15 Proceedings of the American Mathematical Society
13 Bulletin de la Société Mathématique de France
12 Bulletin of the Australian Mathematical Society
12 Mathematical Notes
12 Inventiones Mathematicae
12 Monatshefte für Mathematik
12 International Journal of Number Theory
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Advances in Mathematics
9 The Ramanujan Journal
8 Mathematics of Computation
8 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
8 Acta Mathematica Hungarica
8 Indagationes Mathematicae. New Series
7 Acta Arithmetica
7 Duke Mathematical Journal
7 Journal of Pure and Applied Algebra
7 Mathematische Annalen
7 Transactions of the American Mathematical Society
6 Mathematika
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 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Acta Mathematica
5 Archiv der Mathematik
5 Manuscripta Mathematica
4 Communications in Mathematical Physics
4 Israel Journal of Mathematics
4 Journal d’Analyse Mathématique
4 Journal of Algebra
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
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 Results in Mathematics
3 Journal of Symbolic Computation
3 Journal of the Ramanujan Mathematical Society
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 Documenta Mathematica
3 Annals of Mathematics. Second Series
3 Journal of the European Mathematical Society (JEMS)
3 Journal of High Energy Physics
3 Integers
3 Journal of the Australian Mathematical Society
3 European Journal of Mathematics
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 Proceedings of the London Mathematical Society. Third Series
2 Theoretical Computer Science
2 Revista Matemática Iberoamericana
2 L’Enseignement Mathématique. 2e Série
2 Applicable Algebra in Engineering, Communication and Computing
2 Experimental Mathematics
2 Journal of Algebraic Combinatorics
2 Annales Mathématiques Blaise Pascal
2 Bulletin des Sciences Mathématiques
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Doklady Mathematics
2 Logical Methods in Computer Science
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 Computer Physics Communications
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
...and 58 more Serials
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Cited in 50 Fields

484 Number theory (11-XX)
97 Algebraic geometry (14-XX)
51 Functions of a complex variable (30-XX)
35 Special functions (33-XX)
27 Commutative algebra (13-XX)
23 Several complex variables and analytic spaces (32-XX)
22 Dynamical systems and ergodic theory (37-XX)
19 Computer science (68-XX)
17 Combinatorics (05-XX)
17 Field theory and polynomials (12-XX)
12 Quantum theory (81-XX)
10 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 Difference and functional equations (39-XX)
6 Convex and discrete geometry (52-XX)
6 Probability theory and stochastic processes (60-XX)
5 Topological groups, Lie groups (22-XX)
5 Measure and integration (28-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 Differential geometry (53-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functional analysis (46-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Statistics (62-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General and overarching topics; collections (00-XX)
2 Potential theory (31-XX)
2 Partial differential equations (35-XX)
2 Abstract harmonic analysis (43-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 General topology (54-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 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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