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Modular Functions of One Variable I

Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972

  • Conference proceedings
  • © 1973

Overview

Editors:
  1. Willem Kuijk

    1. Leerstoel Algebra, Rijksuniversitair Centrum Antwerpen, Antwerpen, Belgium

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 320)

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Table of contents (7 papers)

  1. Front Matter

    Pages I-V
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  2. Survey of Modular Functions of One Variable

    • Andrew Ogg
    Pages 1-35

  3. Complex Multiplication

    • Goro Shimura
    Pages 37-56

  4. Modular Forms of Half Integral Weight

    • Goro Shimura
    Pages 57-74

  5. The Basis Problem for Modular Forms and the Traces of the Hecke Operators

    • M. Eichler
    Pages 75-152

  6. Class-Numbers of Complex Quadratic Fields

    • H. M. Stark
    Pages 153-174

  7. Some Calculations of Modular Relations

    • B. J. Birch
    Pages 175-186

  8. On the Aq (Γ) ⊂ Bq (Γ) Conjecture

    • Joseph Lehner
    Pages 187-194

  9. Back Matter

    Pages 195-195
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Keywords

About this book

An international Summer School on: "Modular functions of one variable and arithmetical applications" took place at RUCA, Antwerp University, from July 17 to - gust 3, 1972. This book is the first volume (in a series of four) of the Proceedings of the Summer School. It includes the basic course given by A. Ogg, and several other papers with a strong analyt~c flavour. Volume 2 contains the courses of R. P. Langlands (l-adic rep­ resentations) and P. Deligne (modular schemes - representations of GL ) and papers on related topics. 2 Volume 3 is devoted to p-adic properties of modular forms and applications to l-adic representations and zeta functions. Volume 4 collects various material on elliptic curves, includ­ ing numerical tables. The School was a NATO Advanced Study Institute, and the orga­ nizers want to thank NATO for its major subvention. Further support, in various forms, was received from IBM Belgium, the Coca-Cola Co. of Belgium, Rank Xerox Belgium, the Fort Food Co. of Belgium, and NSF Washington, D.C•• We extend our warm­ est thanks to all of them, as well as to RUCA and the local staff (not forgetting hostesses and secretaries!) who did such an excellent job.

Editors and Affiliations

  • Leerstoel Algebra, Rijksuniversitair Centrum Antwerpen, Antwerpen, Belgium

    Willem Kuijk

Bibliographic Information

  • Book Title: Modular Functions of One Variable I

  • Book Subtitle: Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972

  • Editors: Willem Kuijk

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-540-38509-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1973

  • Softcover ISBN: 978-3-540-06219-6Published: 01 January 1973

  • eBook ISBN: 978-3-540-38509-7Published: 28 February 2009

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: V, 195

  • Topics: Number Theory, Analysis

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