Waldschmidt, Michel 1946Overview
Publication Timeline
Most widely held works by
Michel Waldschmidt
Nombres transcendants
by Michel Waldschmidt
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Book
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19 editions published between 1974 and 2008 in 3 languages and held by 511 WorldCat member libraries worldwide
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 2627, 1988
by M Langevin
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Book
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19 editions published between 1989 and 1990 in 3 languages and held by 426 WorldCat member libraries worldwide Before his untimely death in 1986, Alain Durand had undertaken a systematic and indepth study of the arithmetic perspectives of polynomials. Four unpublished articles of his, formed the centerpiece of attention at a colloquium in Paris in 1988 and are reproduced in this volume together with 11 other papers on closely related topics. A detailed introduction by M. Langevin sets the scene and places these articles in a unified perspective
From number theory to physics
by Michel Waldschmidt
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Book
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20 editions published between 1992 and 1995 in English and German and held by 389 WorldCat member libraries worldwide Various developments in physics have involved many questions related to number theory, in an increasingly direct way. This trend is especially visible in two broad families of problems, namely, field theories, and dynamical systems and chaos. The 14 chapters of this book are extended, selfcontained versions of expository lecture courses given at a school on "Number Theory and Physics" held at Les Houches for mathematicians and physicists. Most go as far as recent developments in the field. Some adapt an original pedagogical viewpoint
Diophantine approximation on linear algebraic groups : transcendence properties of the exponential function in several variables
by Michel Waldschmidt
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Book
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13 editions published between 2000 and 2011 in English and held by 338 WorldCat member libraries worldwide The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function e^z. A central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. This book includes proofs of the main basic results (theorems of HermiteLindemann, GelfondSchneider, 6 exponentials theorem), an introduction to height functions with a discussion of Lehmer's problem, several proofs of Baker's theorem as well as explicit measures of linear independence of logarithms. An original feature is that proofs make systematic use of Laurent's interpolation determinants. The most general result is the socalled Theorem of the Linear Subgroup, an effective version of which is also included. It yields new results of simultaneous approximation and of algebraic independence. 2 chapters written by D. Roy provide complete and at the same time simplified proofs of zero estimates (due to P. Philippon) on linear algebraic groups
Approximations diophantiennes et nombres transcendants : colloque de Luminy, 1982
by Colloque Problèmes diophantiens et nombres transcendants
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Book
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11 editions published in 1983 in 4 languages and held by 257 WorldCat member libraries worldwide
Number theory and physics : proceedings of the winter school, Les Houches, France, March 716, 1989
by J. M Luck
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Book
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8 editions published between 1990 and 1992 in English and German and held by 239 WorldCat member libraries worldwide The contributions to this book can be divided into two categories: those in which mathematicians write on problems relevant to theoretical physics, and those dealing with problems relevant to number theory, written by physicists. Many recent developments in theoretical physics display aspects related to number theory, and this cooperation will be furthered by this volume. The authors from each discipline have taken pains to present their contributions in a manner that is attractive and understandable to readers from the other discipline. The subjects covered include: modular forms and applications to quantum field theory for strings, number theoretical aspects of the spectra of operators applied to the Hall effect, quasicrystals, almost periodic systems, the Riemann zeta function, applications of number theory to dynamical systems, statistical mechanics, lattices, stochastic processes and integrable systems
Number theory : Ramanujan Mathematical Society, January 36, 1996, Tiruchirapalli, India
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Book
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10 editions published between 1997 and 1998 in English and held by 234 WorldCat member libraries worldwide
Transcendence methods
by Michel Waldschmidt
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Book
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8 editions published between 1979 and 2001 in English and Undetermined and held by 193 WorldCat member libraries worldwide
Lectures on the MordellWeil theorem
by JeanPierre Serre
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Book
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9 editions published between 1989 and 1997 in English and held by 134 WorldCat member libraries worldwide
Nombres transcendants et groupes algébriques
by Michel Waldschmidt
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Book
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13 editions published between 1979 and 1987 in French and English and held by 132 WorldCat member libraries worldwide
Fonctions abéliennes et nombres transcendants
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Book
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8 editions published in 1980 in 3 languages and held by 91 WorldCat member libraries worldwide
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 2627, 1988
by M Langevin
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)
3 editions published in 1990 in English and held by 60 WorldCat member libraries worldwide
Séminaire sur les nombres transcendants 19721973
by Michel Waldschmidt
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Book
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8 editions published between 1973 and 1976 in French and held by 30 WorldCat member libraries worldwide
Linear independence of logarithms of algebraic numbers
by Michel Waldschmidt
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Book
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6 editions published between 1992 and 1996 in English and held by 23 WorldCat member libraries worldwide
Number theory and discrete mathematics
by A. K Agarwal
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3 editions published in 2002 in English and held by 21 WorldCat member libraries worldwide This volume contains the proceedings of this conference and collects 29 articles written by some of the leading specialists worldwide. Most of the papers describe recent trends and problemstheir current status, as well as historical backgrounds. (Midwest)
Un premier cours sur les nombres transcendants
by Michel Waldschmidt
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Book
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5 editions published in 1973 in French and held by 21 WorldCat member libraries worldwide
Encyclopaedia of Mathematics, Supplement III
by Shreeram Shankar Abhyankar
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2 editions published in 2002 in English and held by 15 WorldCat member libraries worldwide This is the third supplementary volume to Kluwer's highly acclaimed twelvevolume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and uptodate Encyclopaedia of Mathematics available
Nombres transcendants et groupes algébriques complété par deux appendices de Daniel Bertrand et JeanPierre Serre
by Michel Waldschmidt
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Book
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3 editions published between 1979 and 1987 in French and held by 11 WorldCat member libraries worldwide
Groupe d'étude sur les problèmes diophantiens
by Daniel Bertrand
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Book
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4 editions published between 1980 and 1992 in French and held by 9 WorldCat member libraries worldwide
Vistas of special functions
by Shigeru Kanemitsu
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Book
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1 edition published in 2007 in English and held by 8 WorldCat member libraries worldwide This is a unique book for studying special functions through zetafunctions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zetafunctions (the Hurwitz, the Lerch, and the Epstein zetafunction), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet Lfunctions, the rudiments of complex functions and summation formulas. The F more
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Associated Subjects
Abelian varieties Algebraic fields Algebraic number theory Bernoulli polynomials Combinatorial analysis Computer scienceMathematics Crystallography Curves, Algebraic Diophantine analysis Diophantine approximation Engineering Fourier series Functions, Abelian Functions, Special Functions, Zeta Gamma functions Geometry, Algebraic Group theory Lfunctions Linear algebraic groups Linear dependence (Mathematics) Logarithms Mathematical physics Mathematics Number theory padic numbers Physics Polynomials Transcendental numbers

Alternative Names
Parent, D. P. 1946
Waldschmidt, M.
Waldschmidt, M. 1946
Waldschmidt, M. (Michel), 1946
Waldschmidt, Michael
Waldschmidt, Michel
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