Michel Waldschmidt

Michel Waldschmidt's AcademicInfluence.com Rankings

Michel Waldschmidt

Mathematics

#1256

World Rank

#2101

Historical Rank

Measure Theory

#2433

World Rank

#2912

Historical Rank

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Mathematics

Why Is Michel Waldschmidt Influential?

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According to Wikipedia, Michel Waldschmidt is a French mathematician, specializing in number theory, especially transcendental numbers. Biography Waldschmidt was educated at Lycée Henri Poincaré and the University of Nancy until 1968. In 1972 he defended his thesis, titled Indépendance algébrique de nombres transcendants and directed by Jean Fresnel, the University of Bordeaux, where he was research associate of CNRS in 1971–2. He was then a lecturer at Paris-Sud 11 University in 1972–3, then a lecturer at the University of Paris VI , where he is Professor since 1973. Waldschmidt was also a visiting professor at places including the École normale supérieure. He is a member of the .

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Michel Waldschmidt's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Lectures On The Mordell-Weil Theorem (1989) (622)
Diophantine Approximation on Linear Algebraic Groups (2000) (288)
Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables (2000) (167)
A lower bound for linear forms in logarithms (1980) (125)
From Number Theory to Physics (1992) (123)
Number Theory and Physics (1990) (87)
Nombres transcendants et groupes algébriques (1987) (74)
Open Diophantine problems (2003) (64)
Propriétes arithmétiques de fonctions de plusieurs variables (I) (1976) (62)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
Minorations de Combinaisons Linéaires de Logarithmes de Nombres Algébriques (1993) (59)
Elliptic Functions and Transcendence (2008) (59)
Linear forms in two logarithms and Schneider's method (1978) (59)
Transcendence of Periods: The State of the Art (2006) (54)
Transcendance et exponentielles en plusieurs variables (1981) (53)
Formes linéaires de logarithmes sur les groupes algébriques commutatifs (1988) (43)
On Algebraic Numbers of Small Height: Linear Forms in One Logarithm (1994) (34)
Linear forms in two logarithms and Schneider's method (III) (1989) (33)
Multiple Polylogarithms : An Introduction (2000) (30)
Solution du huitième problème de Schneider (1973) (30)
On the approximation of the values of exponential function and logarithm by algebraic numbers (2000) (29)
Propriétés arithmétiques de fonctions de plusieurs variables (III) (1980) (27)
Approximation diophantienne et indépendance algébrique de logarithmes (1997) (26)
Recent advances in Diophantine approximation (2012) (25)
Simultaneous Approximation and Algebraic Independence (1997) (24)
Valeurs algébriques de fonctions analytiques (1986) (23)
Transcendence measures for exponentials and logarithms (1978) (23)
The Société Mathématique de France (2003) (21)
Pólya's theorem by Schneider's method (1978) (21)
Perfect Powers: Pillai's works and their developments (2009) (21)
Algebraic values of analytic functions (2002) (20)
Zeros of linear recurrence sequences (1999) (20)
Lecture on the abc Conjecture and Some of Its Consequences (2015) (20)
Propriétés arithmétiques des valeurs de fonctions méromorphes algébriquement indépendantes (1973) (19)
Linear forms and simultaneous approximations (1977) (19)
Un demi siècle de transcendance (2000) (18)
Groupes algébriques et grands degrés de transcendance (1986) (18)
Report on some recent advances in Diophantine approximation (2009) (18)
Approximation diophantienne dans les groupes algbriques commutatifs. (I): Une version effective du thorme du sous-group algbrique. (1997) (17)
D ’ une mesure d ’ approximation simultanée à une mesure d ’ irrationalité : le cas de Γ ( 1 (17)
Multiple Polylogarithms: An Introduction (2002) (16)
Linear Independence of Logarithms of Algebraic Numbers (2000) (16)
Simultaneous approximation of numbers connected with the exponential function (1978) (16)
Diophantine approximation by conjugate algebraic integers (2002) (16)
Sur la nature arithmétique des valeurs de fonctions modulaires (1997) (15)
Algebraic Independence of Transcendental Numbers: A Survey (2000) (14)
Indépendance algébrique des valeurs de la fonction exponentielle (1971) (13)
Words and Transcendence (2009) (13)
Sous-groupes analytiques de groupes algebriques (1983) (12)
Number Theory and Physics: Proceedings of the Winter School, Les Houches, France, March 7-16, 1989 (1990) (12)
An Introduction to Irrationality and Transcendence Methods. (2008) (12)
The algebraic independence of certain numbers to algebraic powers (1977) (11)
Familles d'equations de Thue-Mahler n'ayant que des solutions triviales (2013) (11)
Integer valued entire functions on Cartesian products (1999) (11)
Density measure of rational points on Abelian varieties (1999) (10)
Densité des points rationnels sur un groupe algébrique (1994) (10)
Independance algebrique de nombres de Liouville (1990) (9)
On the distribution of solutions of Thue’s equation (1999) (9)
Some remarks on diophantine equations and diophantine approximation (2013) (9)
Nouvelles méthodes pour minorer des combinaisons linéaires de logarithmes de nombres algébriques (1991) (9)
Transcendance et indépendance algébrique de valeurs de fonctions modulaires (1999) (9)
Quadratic relations between logarithms of algebraic numbers (1995) (9)
New Advances in Transcendence Theory: On the transcendence methods of Gelfond and Schneider in several variables (1988) (9)
Hopf Algebras and Transcendental Numbers (2005) (8)
Irrationality results for theta functions by Gel'fond-Schneider's method (1989) (8)
A family of Thue equations involving powers of units of the simplest cubic fields (2015) (8)
Transcendance de p\'eriodes: \'etat des connaissances (2005) (8)
Fonctions auxiliaires et fonctionnelles analytiques (I) (1991) (8)
Variations on the Six Exponentials Theorem (2005) (7)
Fonctions Auxiliaires et Fonctionnelles Analytiques (II) (1991) (7)
Approximation des valeurs de fonctions transcendantes (1975) (7)
On the p-adic closure of a subgroup of rational points on an Abelian variety (2010) (7)
Families of Cubic Thue Equations with Effective Bounds for the Solutions (2013) (7)
Solving eectively some families of Thue Diophantine equations (2013) (7)
Sur la représentation des entiers par des formes cyclotomiques de grand degré (2020) (6)
Auxiliary functions in transcendental number theory (2009) (6)
Formes lineaires de logarithmes elliptiques et mesures de transcendance (1989) (6)
Linear Independence Measures for Logarithms of Algebraic Numbers (2003) (6)
Autour du Théorème du Sous-Groupe Algébrique (1993) (5)
Further Variations on the Six Exponentials Theorem. (2005) (5)
Mathematics in the 21st Century (2015) (5)
Representation of integers by cyclotomic binary forms (2017) (5)
Transcendence problems connected with DrinfelÊ¹d modules (1992) (5)
Introduction to Diophantine methods: irrationality and transcendence (2007) (5)
Équations de Fermat-Pell-Mahler simultanées (2011) (5)
Un premier cours sur les nombres transcendants (1973) (4)
APPROXIMATION OF AN ALGEBRAIC NUMBER BY PRODUCTS OF RATIONAL NUMBERS AND UNITS (2012) (4)
On a problem of Mahler concerning the approximation of exponentials and logarithms (2000) (3)
Détection of the illegal use of diethyl-stilbestrof in male veal, calves. (1970) (3)
Review on metabolic and enzymic studies of spermatozoa from the ampullae ductus deferentiae of bulls. (1973) (3)
Lectures on Multiple Zeta Values IMSC 2011 (2016) (3)
Diophantine Analysis and Related Fields 2006 (2006) (3)
Les travaux de G. V. Čudnovski$\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{i}$ sur les nombres transcendants (1977) (3)
THE MATHEMATICAL CONTRIBUTIONS OF SERGE LANG JAY JORGENSON AND (2006) (3)
DIOPHANTINE ANALYSIS AND WORDS (2006) (3)
Diophantine Properties of the Periods of the Fermat Curve (1982) (3)
Number Theory (2018) (3)
Schanuel’s Conjecture: algebraic independence of transcendental numbers (2015) (3)
On transcendental entire functions with infinitely many derivatives taking integer values at two points (2019) (3)
Les travaux de G. V. Čudnovskiĭ sur les nombres transcendants (1976) (3)
Dependence of Logarithms on Commutative Algebraic Groups (1996) (2)
On meromorphic functions of one complex variable having algebraic Laurent coefficients (1981) (2)
Number theory : Ramanujan Mathematical Society, January 3-6, 1996, Tiruchirapalli, India (1998) (2)
Constructions de fonctions auxiliaires (1992) (2)
Recent Diophantine results on zeta values : a survey (Analytic number theory and related topics) (2010) (2)
On Ramachandra's Contributions to Transcendental Number Theory (2003) (2)
Familles d'équations de Thue associées à un sous-groupe de rang 1 d'unités totalement réelles d'un corps de nombres (2015) (2)
Introduction to Diophantine Methods (2007) (2)
Approximations Diophantiennes et Nombres Transcendants : Colloque de Luminy, 1982 (1983) (2)
Fonctions abéliennes et nombres transcendants (1980) (2)
Indépendance algébrique et exponentielles en plusieurs variables (1984) (2)
Parametric geometry of numbers in function fields (2017) (2)
Diophantine approximation with applications to dynamical systems (2014) (2)
Thue Diophantine Equations (2020) (1)
On Baker’s Method (2000) (1)
On entire functions of several variables with derivatives of even order taking integer values (2021) (1)
Six Exponentials Theorem — Irrationality (2022) (1)
Simultaneous Approximation of Logarithms of Algebraic Numbers (2004) (1)
Excrétion and residues of diethylstilboestrol after intramuscular administration in the calf, as determined by biological and chemical tests. (1970) (1)
GAPS IN BINARY EXPANSIONS OF SOME ARITHMETIC FUNCTIONS, AND THE IRRATIONALITY OF THE EULER CONSTANT (2012) (1)
Indo{French cooperation in Mathematics (2010) (1)
Criteria for irrationality, linear independence, transcendence and algebraic independence (2009) (1)
Zéros de polynômes exponentiels (1974) (1)
Heights of Algebraic Numbers (2000) (1)
Fonctions theta et nombres transcendants (1988) (1)
Cinquante Ans de Polynômes Fifty Years of Polynomials (1990) (1)
La méthode de Charles Hermite en théorie des nombres transcendants (2009) (1)
Approximation simultanée par des produits de puissances de nombres algébriques (1997) (1)
Lidstone interpolation II. Two variables (2022) (1)
On transcendental entire functions with infinitely many derivatives taking integer values at several points (2019) (1)
Sur la repr\'esentation des entiers par les formes cyclotomiques de grand degr\'e (2019) (1)
Conjectures for large transcendence degree (1998) (1)
Répartition des valeurs d'une somme de fonctions exponentielles (1971) (1)
Les nombres transcendants (1984) (1)
Matrices of finite abelian groups, Finite Fourier Transform and codes (2013) (1)
Elliptic Curves and Complex Multiplication (2003) (1)
Dimension algébrique de sous-groupes analytiques de variétés de groupe (1975) (1)
Quelques travaux récents en théorie des nombres transcendants (1980) (1)
Algebraic Dynamics and Transcendental Numbers (2000) (1)
Applications to Diophantine Approximation (2000) (1)
Applications de la théorie de Kummer à des problèmes de transcendance. (1979) (1)
Families of Thue equations associated with a rank one subgroup of the unit group of a number field (2017) (1)
Integer-valued functions, Hurwitz functions, and related topics: A survey (2020) (1)
La méthode de Gel'Fond en théorie des nombres transcendants (1971) (0)
Valeurs des fonctions zêta multiples : une introduction par (2007) (0)
Algebraic independence of periods of elliptic curves (2012) (0)
Test method for dirt tolerability of bearings and bearing materials (2010) (0)
Proof of a Conjecture of Alladi Ramakrishnan on Circulants (2010) (0)
Number of integers represented by families of binary forms (2022) (0)
Lattices and geometry of numbers Exercises (2016) (0)
Sastra Ramanujan Lectures the Ramanujan Journal Auxiliary Functions in Transcendental Number Theory (2009) (0)
The trick here is to prove the stronger statement that # = e (2007) (0)
NUMBERS AND (2007) (0)
Playing with cards and hats - ! an introduction to error correcting codes" (2009) (0)
Workshop on Number Theory NISER, Bhubaneswar November 30–December 06, 2018 TITLES AND ABSTRACTS (2018) (0)
Conjectures and Open Problems (1988) (0)
Solving simultaneously Thue equations in the almost totally imaginary case (2015) (0)
Extrapolation with interpolation determinants by Michel WALDSCHMIDT (1997) (0)
CIMPA School of Number Theory in Cryptography and Its Applications (2010) (0)
Lectures on Multiple Zeta Values IMSC 2011 by Michel Waldschmidt (2012) (0)
Mathematics in the 21st century : 6th World Conference, Lahore, March 2013 (2015) (0)
[Excretion rate and residues after intramuscular injection of diethylstilbestrol to a calf determined by bioassay and chemical tests]. (1970) (0)
Families of Diophantine equations. by (2013) (0)
On the so – called Pell – Fermat equation (2010) (0)
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 (1990) (0)
REALIZATION OF A CERTAIN CLASS OF SEMI-GROUPS AS VALUE SEMI-GROUPS OF VALUATIONS (2009) (0)
Transcendence Problems in Several Variables(Transcendental Numbers and Related Topics) (1986) (0)
Minorations du rang p-adique du groupe des unités (2019) (0)
Multiplicity Estimate by Damien Roy (2000) (0)
Minorations du rang p-adique du groupe des unités (2019) (0)
An Introduction to Irrationality and Transcendence Methods. 3 Elliptic Functions and Transcendence (2008) (0)
Serge Lang ’ s Contributions to the Theory of Transcendental Numbers 2 (2007) (0)
SEAMS School 2013 ITB Number theory Structure of finite abelian groups (2013) (0)
Auxiliary functions in transcendence proofs (2009) (0)
Update: May 5, 2016 ALGEBRAIC INDEPENDENCE OF PERIODS OF ELLIPTIC FUNCTIONS (2016) (0)
From highly composite numbers to transcendental number theory by (2013) (0)
Diophantine approximation, irrationality and transcendence (2010) (0)
Hans Peter Schlickewei Wolfgang M. Schmidt Michel Waldschmidt Zeros of linear recurrence sequences (1999) (0)
[Construction of artificial nests for halcyon by means of soil stabilization with lime]. [German] (1976) (0)
Schmidt Subspace Theorem and S – unit equation (2015) (0)
On a paper by Nikolaev (2022) (0)
K. Ramachandra: Reminiscences of his Friends. (2013) (0)
University of Natural Sciences Introduction to Diophantine Methods: Irrationality and Transcendence (2007) (0)
Analytic Number Theory and Diophantine Approximation An Introduction to Irrationality and Transcendence Methods (2008) (0)
Transcendence Proofs in One Variable (2000) (0)
Poster summarizing "The abc conjecture and some of its consequences" (2017) (0)
Irrationality and transcendence of values of special functions 1 (2017) (0)
INTRODUCTION AUX ALG (2005) (0)
The role of complex conjugation in transcendental number theory (2005) (0)
Thue Diophantine Equations A survey (2019) (0)
The mean values of logarithms of algebraic integers (2007) (0)
Chennai Mathematical Institute CMI R.K. Rubugunday Endowment Lecture (2010) (0)
Homogeneous Measures of Linear Independence (2000) (0)
Lidstone interpolation I. One variable (2023) (0)
Linear recurrence sequences and twisted binary forms (2018) (0)
First version Representation of integers by cyclotomic binary forms (2018) (0)
Transendenceand algebraic independence of Liouville-like numbers (1999) (0)
Diophantine Equations and Transcendental Methods(Transcendental Numbers and Related Topics) (1986) (0)
On a paper by Nikolaev (2022) (0)
Author Manuscript, Published in "conference on Number Theory and Discrete Mathematics in Honour of Srinivasa Ramanujan, Chandigarh : India (2000)" Multiple Polylogarithms: an Introduction (2009) (0)
On the numbers ee ee and· e" ' (1998) (0)
The rebalancing of China’s economy (2014) (0)
Lidstone interpolation III. Several variables (2023) (0)
University of Natural Sciences (2007) (0)
7 Elliptic Functions and Transcendence (2008) (0)
Conjectures for Large Transcendence Degree Michel Waldschmidt (1998) (0)
Points Whose Coordinates are Logarithms of Algebraic Numbers (2000) (0)
on ”NUMBER THEORY AND MATHEMATICAL PHYSICS” On recent Diophantine results (2005) (0)
The Criterion of Schneider-Lang (2000) (0)
INTRODUCTION AND HISTORICAL SURVEY (1969) (0)
On the numbers $e^e, e^{e^2}$ and $e^{\pi^2}$. (1998) (0)
Zero Estimate, by Damien Roy (2000) (0)
Snapshots of Mathematics in Sub-Saharan Africa (2018) (0)
Arithmetic and cryptography (2008) (0)
Lower Bounds for the Rank of Matrices (2000) (0)
Le theoreme de Bezout et le resultant de deux polynomes par (2004) (0)
Un lemme de Schwarz pour des intersections d’hyperplans (1983) (0)
La méthode de Gel'fond (1974) (0)
Les Huit Premiers Travaux de Pierre Liardet (2016) (0)
Groupe d'étude sur les problémes diophantiens (1980) (0)
Tijdeman's mathematical contributions related to transcendental numbers (2003) (0)
Majoration du nombre de zéros d’une somme polynomiale d’exponentielles $p$-adiques (1971) (0)
Les débuts de la théorie des nombres transcendants (à l’occasion du centenaire de la transcendance de $\pi $) (1983) (0)
The problems of road construction at an erosion-sensitive site. (1980) (0)
Errata to: "Densité des point rationnels sur un groupe algébrique'' (1995) (0)
A Quantitative Version of the Linear Subgroup Theorem (2000) (0)
Linear independence of logarithms of Algebraic Numbers[MatSciRep: 116] (1992) (0)
Arithmétique modulaire , fractions continues , corps finis (2016) (0)
Type de transcendance (1974) (0)
Les contributions de Serge Lang ` al a thdes nombres transcendants 1 (2006) (0)
Valeurs spéciales de polylogarithmes multiples (2001) (0)
Une mesure de transcendance de $e^\pi $ (1976) (0)
Transcendance et indépendance algébrique dans les groupes linéaires (1971) (0)
La méthode de Baker (1974) (0)
Fascicule 1 Valeurs spéciales de polylogarihmes multiples par (2001) (0)
Indépendance algébrique d'exponentielles (1971) (0)
Propriétés d'indépendance algébrique de la fonction exponentielle (1974) (0)
Transcendance dans les variétés de groupe (II) (1973) (0)
Algebraic Independence and Transcendental Numbers(Transcendental Numbers and Related Topics) (1986) (0)
À propos de la méthode de Baker (1974) (0)
La méthode de Schneider (1974) (0)
On sets of linear forms of maximal complexity (2021) (0)
Un critère de transcendance (1974) (0)
An introduction to the Riemann zeta function (2017) (0)
Introduction aux algèbres de Hopf pour des questions diophantiennes. (2003) (0)
Densite des points rationnels sur un groupe algebrique (errata) (1995) (0)

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Sorbonne University

Michel Waldschmidt's Academic­Influence.com Rankings