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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.

Contributor(s): Material type: TextTextLanguage: English, French Series: Lecture notes in mathematics (Springer-Verlag) ; 601. | Lecture notes in mathematics (Springer-Verlag) ; 627.Publisher: Berlin ; New York : Springer-Verlag, [1977]Copyright date: ©1977Description: 1 online resource (2 volumes) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540359845
  • 3540359842
  • 9783540372912
  • 3540372911
Subject(s): Genre/Form: Additional physical formats: Print version:: Modular functions of one variable V-DDC classification:
  • 515.982 22
LOC classification:
  • QA343
  • QA3 .L28 no. 601, 627
Other classification:
  • 31.14
Online resources:
Contents:
Volume 601. Ramanujan's unpublished work on congruences / R. A. Rankin -- Galois representations attached to eigenforms with Nebentypus / Kenneth A. Ribet -- A result on modular forms in characteristic p / Nicholas M. Katz -- On ℓ-adic representations and congruences for coefficients of modular forms (II) / H.P.F. Swinnerton-Dyer -- On some congruences between cusp forms on [capital Greek]Gamma₀(N) / Koji Doi and Masami Ohta -- Rational points on modular curves / B. Mazur -- Courbes modulaires de niveau 11 / Gérard Ligozat -- On the normalizer of [capital Greek]Gamma₀(N) / P. G. Kluit -- Units in the modular function field / Dan Kubert and Serge Lang -- Class fields and modular forms of weight one / H. M. Stark -- An icosahedral modular form of weight one / Joe Buhler.
Volume 627. Values of Dirichlet series at integers in the critical strip / Michael J. Razar -- Analytic properties of Euler products of automorphic representations / C. J. Moreno -- Modular forms of weight 1/2 / J.-P. Serre and H. M. Stark -- Dimensions des espaces de formes modulaires / H. Cohen and J. Oesterlé -- Facteurs gamma et équations fonctionnelles / M.-F. Vignéras -- Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields / D. Zagier -- Correction to "The Eichler-Selberg trace formula on SL₂([double-struck capital]Z)" / D. Zagier -- A lifting of modular forms in one variable to Hilbert modular forms in two variables / Henri Cohen -- Theta functions over [bold]Q and over [bold]Q([square root symbol] ) / M. Eichler -- Séries thêta des formes quadratiques indéfinies / Marie-France Vignéras -- Automorphic forms and Artin's conjecture / Stephen Gelbart -- Relations between automorphic forms produced by theta-functions / Stephen S. Kudla -- The ring of Hilbert modular forms for real quadratic fields of small discriminant / F. Hirzebruch -- On zeta-functions of Rankin type associated with Siegel modular forms / A. N. Andrianov.
Action note:
  • digitized 2023. HathiTrust Digital Library committed to preserve
Summary: The proceedings of the conference are being published in two parts, and the present volume is mostly algebraic (congruence properties of modular forms, modular curves and their rational points, etc.), whereas the second volume will be more analytic and also include some papers on modular forms in several variables.
Holdings
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Includes bibliographical references at chapter ends.

Volume 601. Ramanujan's unpublished work on congruences / R. A. Rankin -- Galois representations attached to eigenforms with Nebentypus / Kenneth A. Ribet -- A result on modular forms in characteristic p / Nicholas M. Katz -- On ℓ-adic representations and congruences for coefficients of modular forms (II) / H.P.F. Swinnerton-Dyer -- On some congruences between cusp forms on [capital Greek]Gamma₀(N) / Koji Doi and Masami Ohta -- Rational points on modular curves / B. Mazur -- Courbes modulaires de niveau 11 / Gérard Ligozat -- On the normalizer of [capital Greek]Gamma₀(N) / P. G. Kluit -- Units in the modular function field / Dan Kubert and Serge Lang -- Class fields and modular forms of weight one / H. M. Stark -- An icosahedral modular form of weight one / Joe Buhler.

Volume 627. Values of Dirichlet series at integers in the critical strip / Michael J. Razar -- Analytic properties of Euler products of automorphic representations / C. J. Moreno -- Modular forms of weight 1/2 / J.-P. Serre and H. M. Stark -- Dimensions des espaces de formes modulaires / H. Cohen and J. Oesterlé -- Facteurs gamma et équations fonctionnelles / M.-F. Vignéras -- Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields / D. Zagier -- Correction to "The Eichler-Selberg trace formula on SL₂([double-struck capital]Z)" / D. Zagier -- A lifting of modular forms in one variable to Hilbert modular forms in two variables / Henri Cohen -- Theta functions over [bold]Q and over [bold]Q([square root symbol] ) / M. Eichler -- Séries thêta des formes quadratiques indéfinies / Marie-France Vignéras -- Automorphic forms and Artin's conjecture / Stephen Gelbart -- Relations between automorphic forms produced by theta-functions / Stephen S. Kudla -- The ring of Hilbert modular forms for real quadratic fields of small discriminant / F. Hirzebruch -- On zeta-functions of Rankin type associated with Siegel modular forms / A. N. Andrianov.

The proceedings of the conference are being published in two parts, and the present volume is mostly algebraic (congruence properties of modular forms, modular curves and their rational points, etc.), whereas the second volume will be more analytic and also include some papers on modular forms in several variables.

In English and French.

Print version record.

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