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Waldschmidt, Michel 1946-

Works: 90 works in 293 publications in 4 languages and 4,097 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Annotator, Collector, Opponent, Other, coo
Classifications: QA241, 512.7
Publication Timeline
Publications about Michel Waldschmidt
Publications by Michel Waldschmidt
Most widely held works by Michel Waldschmidt
Nombres transcendants by Michel Waldschmidt( Book )
25 editions published between 1974 and 2008 in 4 languages and held by 422 libraries worldwide
From number theory to physics by Michel Waldschmidt( Book )
23 editions published between 1992 and 2010 in English and German and held by 395 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, self-contained 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
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 by M Langevin( Book )
23 editions published between 1989 and 1990 in 4 languages and held by 380 libraries worldwide
Before his untimely death in 1986, Alain Durand had undertaken a systematic and in-depth 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 Four unpublished articles of his, formed the centerpiece of attention at a colloquium in Paris in 1988 and are reproduced in this volume together with 11 other papers on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
Diophantine approximation on linear algebraic groups : transcendence properties of the exponential function in several variables by Michel Waldschmidt( Book )
15 editions published between 2000 and 2015 in English and held by 341 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 Hermite-Lindemann, Gelfond-Schneider, 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 so-called 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 Daniel Bertrand( Book )
14 editions published in 1983 in 4 languages and held by 271 libraries worldwide
Number theory and physics : proceedings of the winter school, Les Houches, France, March 7-16, 1989 by Jean-Marc Luck( Book )
11 editions published between 1990 and 1992 in English and German and held by 231 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 3-6, 1996, Tiruchirapalli, India by International Conference on Discrete Mathematics and Number Theory( Book )
10 editions published between 1997 and 1998 in English and held by 228 libraries worldwide
Transcendence methods by Michel Waldschmidt( Book )
10 editions published between 1979 and 2001 in English and Undetermined and held by 192 libraries worldwide
Lectures on the Mordell-Weil theorem by Jean-Pierre Serre( Book )
12 editions published between 1989 and 1997 in English and German and held by 158 libraries worldwide
This is a translation of "Autour du theoreme de Mordell-Well", a course given by J.-P. Serre at the College de France in 1980 and 1981. These notes were originally written weekly by Michel Waldschmidt and have been reproduced by Publications Mathematiques de l'Universite de Paris VI, by photocopying the handwritten manuscript. The present translation follows roughly the French text, with many modi fications and rearrangements. We have not tried to give a detailed account of the new results due to Faltings, Raynaud, Gross-Zagier ... ; we have just mentioned them in notes at the appropriate places, and given bibliographical references. M.L. Brown Paris, Fall 1988 I.-P. Serre VII CONTENTS 1. Summary. 1 1. 1. Heights. 3 1. 2. The Mordell-Weil theorem and Mordell's conjecture. 3 1. 3. Integral points on algebraic curves. Siegel's theorem. 4 1. 4. Baker's method. 5 1. 5. Hilbert's irreducibility theorem. Sieves. 5 2. Heights. 7 2. 1. The product formula. 7 2. 2. Heights on P m(K). 10 2. 3. Properties of heights. 13 2. 4. Northcott's finiteness theorem. 16 2. 5. Quantitative form of Northcott's theorem. 17 '2. 6. Height associated to a morphism
Nombres transcendants et groupes algébriques by Michel Waldschmidt( Book )
21 editions published between 1979 and 1987 in French and English and held by 155 libraries worldwide
Fonctions abéliennes et nombres transcendants by D Bertrand( Book )
12 editions published in 1980 in 3 languages and held by 104 libraries worldwide
Séminaire sur les nombres transcendants 1972-1973 by Université Paris-Sud( Book )
7 editions published between 1973 and 1976 in French and held by 28 libraries worldwide
Linear independence of logarithms of algebraic numbers by Michel Waldschmidt( Book )
6 editions published between 1992 and 1996 in English and held by 22 libraries worldwide
Un premier cours sur les nombres transcendants by Michel Waldschmidt( Book )
7 editions published between 1973 and 1974 in French and held by 18 libraries worldwide
Groupe d'etude sur les problèmes diophantiens ( Book )
2 editions published in 1984 in French and held by 9 libraries worldwide
Mathematics in the 21st century : 6th World Conference, Lahore, March 2013 by Pierre Cartier( Book )
7 editions published in 2015 in English and held by 3 libraries worldwide
Numerous well-presented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology. Several papers on computational and applied mathematics such as wavelet analysis, quantum mechanics, piecewise linear modeling, cosmological models of super symmetry, fluid dynamics, interpolation theory, optimization, ergodic theory and games theory are also presented
Number theory and discrete mathematics by A. K Agarwal( Book )
3 editions published in 2002 in English and held by 2 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 problems--their current status, as well as historical backgrounds. (Midwest)
Number Theory by V. Kumar Murty( file )
1 edition published in 1997 in English and held by 0 libraries worldwide
Encyclopaedia of mathematics. Supplement III by Shreeram Shankar Abhyankar( file )
1 edition published in 2002 in English and held by 0 libraries worldwide
This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume 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 up-to-date Encyclopaedia of Mathematics available
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Alternative Names

controlled identity Parent, D. P.

Michel Waldschmidt Frans wiskundige
Michel Waldschmidt fransk matematikar
Michel Waldschmidt fransk matematiker
Michel Waldschmidt französischer Mathematiker
Michel Waldschmidt French mathematician
Parent, D. P. 1946-
Waldschmidt, M.
Waldschmidt, M. 1946-
Waldschmidt, M. (Michel), 1946-
Waldschmidt, Michael
Waldschmidt, Michel
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