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Hypergéométrie et fonction zêta de Riemann

Author: C Krattenthaler; T Rivoal
Publisher: Providence, R.I. : American Mathematical Society, ©2007.
Series: Memoirs of the American Mathematical Society, no. 875.
Edition/Format:   eBook : Document : FrenchView all editions and formats
Summary:

Proves Rivoal's 'denominator conjecture' concerning the common denominators of coefficients of certain linear forms in zeta values; these forms were constructed to obtain lower bounds for the  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Krattenthaler, C. 1958-
Hypergéométrie et fonction zêta de Riemann /
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: C Krattenthaler; T Rivoal
ISBN: 9781470404796 1470404796
OCLC Number: 851086297
Language Note: Abstract in English.
Notes: "Volume 186, number 875 (end of volume)."
Description: 1 online resource (ix, 87 pages).
Contents: 1. Introduction et plan de l'article 2. Arrière plan 3. Les résultats principaux 4. Conséquences diophantiennes du Théorème 1 5. Le principe des démonstrations des Théorèmes 1 à 6 6. Deux identités entre une somme simple et une somme multiple 7. Quelques explications 8. Des identités hypergéométrico-harmoniques 9. Corollaires au Théorème 8 10. Corollaires au Théorème 9 11. Lemmes arithmétiques 12. Démonstration du Théorème 1, partie i) 13. Démonstration du Théorème 1, partie ii) 14. Démonstration du Théorème 3, partie i), et des Théorèmes 4 et 5 15. Démonstration du Théorème 3, partie ii), et du Théorème 6 16. Encore un peu d'hypérgéometrie 17. Perspectives.
Series Title: Memoirs of the American Mathematical Society, no. 875.
Responsibility: C. Krattenthaler, T. Rivoal.

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