Modular functions of one variable, V-VI : proceedings, international conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976

Bibliographic Information

Modular functions of one variable, V-VI : proceedings, international conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976

edited by J.-P. Serre and D.B. Zagier

(Lecture notes in mathematics, 601, 627)

Springer-Verlag, 1977

  • v. 1 : Berlin
  • v. 1 : New York
  • v. 2 : Berlin
  • v. 2 : New York

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Includes bibliographies

Description and Table of Contents

Volume

v. 1 : Berlin ISBN 9783540083481

Table of Contents

Ramanujan's unpublished work on congruences.- Galois representations attached to eigenforms with nebentypus.- A result on modular forms in characteristic p.- On ?-adic representations and congruences for coefficients of modular forms (II).- On some congruences between cusp forms on ?o(N).- Rational points on modular curves.- Courbes modulaires de niveau 11.- On the normalizer of ?0(N).- Units in the modular function field.- Class fields and modular forms of weight one.- An icosahedral modular form of weight one.
Volume

v. 2 : Berlin ISBN 9783540085300

Table of Contents

Values of dirichlet series at integers in the critical strip.- Analytic properties of euler products of automorphic representations.- Modular forms of weight 1/2.- Dimensions des espaces de formes modulaires.- Facteurs gamma et equations fonctionnelles.- Modular forms whose fourier coefficients involve zeta-functions of quadratic fields.- Correction to "The eichler-selberg trace formula on SL2(?)".- A lifting of modular forms in one variable to hilbert modular forms in two variables.- Theta functions over Q and over Q(?q).- Series theta des formes quadratiques indefinies.- Automorphic forms and Artin's conjecture.- Relations between automorphic forms produced by theta-functions.- The ring of hilbert modular forms for real quadratic fields of small discriminant.- On zeta-functions of rankin type associated with siegel modular forms.

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