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Cinquante Ans de Polynomes - Fifty Years of Polynomials

Proceedings of a Conference held in honour of Alain Durand at the Institut Henri Poincare. Paris, France, May 26-27, 1988

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. Michel Langevin
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  2. Michel Waldschmidt
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1415)

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Table of contents (15 papers)

  1. Front Matter

    Pages I-VIII
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  2. Quelques aspects de la theorie analytique des polynomes I

    • A. Durand
    Pages 1-42

  3. Quelques aspects de la theorie analytique des polynomes II

    • A. Durand
    Pages 43-85

  4. Relation de Szegö sur la derivee d'un polynome

    • A. Durand
    Pages 86-93

  5. Approximations algébriques d'un nombre transcendant

    • Alain Durand
    Pages 94-96

  6. Polynômes à coefficients positifs multiples d'un polynôme donné

    • Jean-Pierre Borel
    Pages 97-115

  7. Independance algebrique par des methodes d'approximations

    • P. Bundschuh
    Pages 116-122

  8. Fonctions entieres d'une ou plusieurs variables complexes prenant des valeurs entieres sur une progression geometrique

    • François Gramain
    Pages 123-137

  9. Sphere de Riemann et Geometrie des polynomes

    • Michel Langevin
    Pages 138-159

  10. Polynômes et lemme de Siegel

    • Maurice Mignotte
    Pages 160-166

  11. Localisation des zeros de polynomes intervenant en theorie du signal

    • A. Schinzel, J. L. Nicolas
    Pages 167-179

  12. Polynomes D'interpolation Sur ℤ Et ℤ[i]

    • Patrice Philippon
    Pages 180-195

  13. On the constant in the tarry-escott problem

    • Elmer Rees, Christopher Smyth
    Pages 196-208

  14. Extremal problems on polynomials

    • Bahman Saffari
    Pages 209-211

  15. Un critere d'irreductibilite de polynomes

    • A. Schinzel
    Pages 212-224

  16. Independance algebrique de nombres de Liouville

    • Michel Waldschmidt
    Pages 225-235

  17. Back Matter

    Pages 237-238
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Keywords

About this book

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 Four unpublished articles of his, formed the centerpiece of attention at a colloquium in Paris in 1988 and are reproduced in this volume together with 11 other papers on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

Bibliographic Information

  • Book Title: Cinquante Ans de Polynomes - Fifty Years of Polynomials

  • Book Subtitle: Proceedings of a Conference held in honour of Alain Durand at the Institut Henri Poincare. Paris, France, May 26-27, 1988

  • Editors: Michel Langevin, Michel Waldschmidt

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0084876

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-52190-7Published: 24 January 1990

  • eBook ISBN: 978-3-540-46919-3Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 240

  • Topics: Number Theory

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