Waldschmidt, Michel 1946
Overview
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
.
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 WorldCat member libraries worldwide
25 editions published between 1974 and 2008 in 4 languages and held by 422 WorldCat member 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 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
23 editions published between 1992 and 2010 in English and German and held by 395 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
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(
Book
)
23 editions published between 1989 and 1990 in 4 languages and held by 380 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 Four unpublished articles of his, formed the centerpiece of attention at a colloquium in Paris in 1988 and are reproduced in this volume together with 11 other papers on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
23 editions published between 1989 and 1990 in 4 languages and held by 380 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
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 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
15 editions published between 2000 and 2015 in English and held by 341 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
Daniel Bertrand(
Book
)
14 editions published in 1983 in 4 languages and held by 271 WorldCat member libraries worldwide
14 editions published in 1983 in 4 languages and held by 271 WorldCat member libraries worldwide
Number theory and physics : proceedings of the winter school, Les Houches, France, March 716, 1989 by
JeanMarc Luck(
Book
)
11 editions published between 1990 and 1992 in English and German and held by 231 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
11 editions published between 1990 and 1992 in English and German and held by 231 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 by International Conference on Discrete Mathematics and Number Theory(
Book
)
10 editions published between 1997 and 1998 in English and held by 228 WorldCat member libraries worldwide
10 editions published between 1997 and 1998 in English and held by 228 WorldCat member libraries worldwide
Transcendence methods by
Michel Waldschmidt(
Book
)
10 editions published between 1979 and 2001 in English and Undetermined and held by 192 WorldCat member libraries worldwide
10 editions published between 1979 and 2001 in English and Undetermined and held by 192 WorldCat member libraries worldwide
Lectures on the MordellWeil theorem by
JeanPierre Serre(
Book
)
12 editions published between 1989 and 1997 in English and German and held by 158 WorldCat member libraries worldwide
This is a translation of "Autour du theoreme de MordellWell", 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, GrossZagier ... ; 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 MordellWeil 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
12 editions published between 1989 and 1997 in English and German and held by 158 WorldCat member libraries worldwide
This is a translation of "Autour du theoreme de MordellWell", 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, GrossZagier ... ; 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 MordellWeil 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 WorldCat member libraries worldwide
21 editions published between 1979 and 1987 in French and English and held by 155 WorldCat member libraries worldwide
Fonctions abéliennes et nombres transcendants by
D Bertrand(
Book
)
12 editions published in 1980 in 3 languages and held by 104 WorldCat member libraries worldwide
12 editions published in 1980 in 3 languages and held by 104 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(
)
1 edition published in 1990 in English and held by 36 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 36 WorldCat member libraries worldwide
Séminaire sur les nombres transcendants 19721973 by
Université ParisSud(
Book
)
7 editions published between 1973 and 1976 in French and held by 28 WorldCat member libraries worldwide
7 editions published between 1973 and 1976 in French and held by 28 WorldCat member 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 WorldCat member libraries worldwide
6 editions published between 1992 and 1996 in English and held by 22 WorldCat member 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 WorldCat member libraries worldwide
7 editions published between 1973 and 1974 in French and held by 18 WorldCat member libraries worldwide
Groupe d'etude sur les problèmes diophantiens(
Book
)
2 editions published in 1984 in French and held by 9 WorldCat member libraries worldwide
2 editions published in 1984 in French and held by 9 WorldCat member 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 WorldCat member libraries worldwide
Numerous wellpresented 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
7 editions published in 2015 in English and held by 3 WorldCat member libraries worldwide
Numerous wellpresented 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 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)
3 editions published in 2002 in English and held by 2 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)
Number Theory by
V. Kumar Murty(
)
1 edition published in 1997 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 0 WorldCat member libraries worldwide
Encyclopaedia of mathematics. Supplement III by
Shreeram Shankar Abhyankar(
)
1 edition published in 2002 in English and held by 0 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
1 edition published in 2002 in English and held by 0 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
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Langevin, M. (Michel) Other Author Editor
 Durand, Alain 19491986
 Moussa, P. (Pierre) 1942 Other Editor
 Cartier, P. (Pierre) Creator
 Cartier, Pierre Author Editor
 Bertrand, D. (Daniel) Author Editor
 Raza, Alla Ditta Editor
 Luck, J. M. (Jean Marc) 1959 Other Author
 Murty, Vijaya Kumar 1956 Editor
 Ramanujan Mathematical Society
Useful Links
Associated Subjects
Abelian varieties Algebra Algebraic fields Algebraic number theory Algebraic topology Algebraic varieties Combinatorial analysis Computer scienceMathematics Crystallography Curves, Algebraic Diophantine analysis Diophantine approximation Engineering Functions, Abelian Geometry, Algebraic Global analysis (Mathematics) Group theory Linear algebraic groups Linear dependence (Mathematics) Logarithms Mathematical physics Mathematics MathematicsData processing MathematicsExperiments Number theory Physics Polynomials Transcendental numbers
Alternative Names
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
Languages
Covers