Overview

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 Four unpublished articles of his, formed the centerpiece of attention at a colloquium in Paris in 1988 and are reproduced in this volume together with 11 other papers on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

Full Product Details

Author:   Michel Langevin ,  Michel Waldschmidt
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1990 ed.
Volume:   1415
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.790kg
ISBN:  

9783540521907

ISBN 10:   3540521909
Pages:   240
Publication Date:   24 January 1990
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Language:   English & French

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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