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Formes modulaires et transcendance: Colloque JEUNES
Edited by: Stéphane Fischler, Université Paris-Sud, Orsay, France, Éric Gaudron, Institut Fourier, Saint-Martin-d'Heres, France, and Samy Khémira, Institut de Mathématiques de Jussieu, Paris, France
A publication of the Société Mathématique de France.
cover
Séminaires et Congrès
2005; 271 pp; softcover
Number: 12
ISBN-10: 2-85629-176-7
ISBN-13: 978-2-85629-176-4
List Price: US$59
Member Price: US$47.20
Order Code: SECO/12
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The present volume arises from a conference on the links between modular forms and transcendence held at the C.I.R.M (Marseille) from May 26-30, 2003.

It includes an overview of the few existing proofs of transcendence or algebraic independence of numbers coming from modular forms theory as well as more general techniques offering new perspectives (periods, Rankin-Cohen brackets, slope method, Hilbert modular forms). The book is divided into four independent chapters; although the most recent developments are studied, it remains mostly accessible to non-specialists.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in differential equations and dynamical systems.

Table of Contents

  • F. Martin and E. Royer -- Formes modulaires et périodes
  • V. Bosser -- Indépendance algébrique de valeurs de séries d'Eisenstein (théorème de Nesterenko)
  • Ph. Graftieaux -- Théorème stéphanois et méthode des pentes
  • F. Pellarin -- Introduction aux formes modulaires de Hilbert et à leurs propriétés différentielles
  • Annexe. Liste des participants
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