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

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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

M. Langevin, M. Waldschmidt (eds.)

（Lecture notes in mathematics, 1415）

Springer-Verlag, c1990

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Fifty years of polynomials

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Description and Table of Contents

Description

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 Four unpublished articles of his, formed the centerpiece of attention at a colloquium in Paris in 1988 and are reproduced in this volume together with 11 other papers on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.

Table of Contents

Quelques aspects de la theorie analytique des polynomes I.- Quelques aspects de la theorie analytique des polynomes II.- Relation de Szegoe sur la derivee d'un polynome.- Approximations algebriques d'un nombre transcendant.- Polynomes a coefficients positifs multiples d'un polynome donne.- Independance algebrique par des methodes d'approximations.- Fonctions entieres d'une ou plusieurs variables complexes prenant des valeurs entieres sur une progression geometrique.- Sphere de Riemann et Geometrie des polynomes.- Polynomes et lemme de Siegel.- Localisation des zeros de polynomes intervenant en theorie du signal.- Polynomes D'interpolation Sur ? Et ?[i].- On the constant in the tarry-escott problem.- Extremal problems on polynomials.- Un critere d'irreductibilite de polynomes.- Independance algebrique de nombres de Liouville.

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