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TitleCinquante Ans de Polynรดmes Fifty Years of Polynomials [electronic resource] : Proceedings of a Conference held in honour of Alain Durand at the Institut Henri Poincarรฉ Paris, France, May 26-27, 1988 / edited by Michel Langevin, Michel Waldschmidt
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1990
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Descript XII, 240 p. online resource


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 Four unpublished articles of his, formed the centerpiece of attention at a colloquium in Paris in 1988 and are reproduced in this volume together with 11 other papers on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


Quelques aspects de la theorie analytique des polynomes I -- Quelques aspects de la theorie analytique des polynomes II -- Relation de Szegรถ sur la derivee d'un polynome -- Approximations algรฉbriques d'un nombre transcendant -- Polynรดmes ร  coefficients positifs multiples d'un polynรดme donnรฉ -- 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 -- Polynรดmes 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

Mathematics Number theory Mathematics Number Theory


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