Waldschmidt, Michel 1946
Most widely held works by
Michel Waldschmidt
Nombres transcendants by Michel Waldschmidt (
Book
)
24
editions published
between
1974
and
2008
in
4
languages
and held by
421
libraries
worldwide
From number theory to physics by Michel Waldschmidt (
Book
)
27
editions published
between
1992
and
2010
in
English and German
and held by
400
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
)
26
editions published
between
1989
and
1990
in
3
languages
and held by
385
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 Four unpublished articles of his, formed the centerpiece of attention at a colloquium in Paris in 1988 and are reproduced in this volume together with 11 other papers on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
343
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 D Bertrand (
Book
)
16
editions published
in
1983
in
4
languages
and held by
274
libraries
worldwide
Number theory and physics : proceedings of the winter school, Les Houches, France, March 716, 1989 by J. M Luck (
Book
)
12
editions published
between
1990
and
1992
in
English and German
and held by
230
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
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 MordellWeil theorem by JeanPierre Serre (
Book
)
13
editions published
between
1989
and
1997
in
English and German
and held by
160
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
)
22
editions published
between
1979
and
1987
in
French and English
and held by
159
libraries
worldwide
Fonctions abéliennes et nombres transcendants by D Bertrand (
Book
)
12
editions published
in
1980
in
3
languages
and held by
103
libraries
worldwide
Séminaire sur les nombres transcendants 19721973 by Université ParisSud (
Book
)
8
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
23
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
Vistas of special functions by Shigeru Kanemitsu (
Book
)
1
edition published
in
2007
in
English
and held by
8
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
Mathematics in the 21st century : 6th World Conference, Lahore, March 2013 by Pierre Cartier (
Book
)
9
editions published
in
2015
in
English
and held by
3
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
)
4
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 problemstheir current status, as well as historical backgrounds. (Midwest)
Number Theory by Vijaya 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 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
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Alternative Names
Parent, D. P.
Michel Waldschmidt Frans wiskundige Michel Waldschmidt fransk matematikar Michel Waldschmidt fransk matematiker Michel Waldschmidt französischer Mathematiker Michel Waldschmidt French mathematician Michel Waldschmidt matemático francés Michel Waldschmidt mathématicien français Parent, D. P. 1946 Waldschmidt, M. Waldschmidt, M. 1946 Waldschmidt, M. (Michel), 1946 Waldschmidt, Michael Waldschmidt, Michel
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