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Periods of Hecke Characters

  • Book
  • © 1988

Overview

Authors:
  1. Norbert Schappacher
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1301)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XV
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  2. Algebraic hecke characters

    • Norbert Schappacher
    Pages 1-22

  3. Motives for algebraic hecke characters

    • Norbert Schappacher
    Pages 23-80

  4. The periods of algebraic hecke characters

    • Norbert Schappacher
    Pages 81-116

  5. Elliptic integrals and the gamma function

    • Norbert Schappacher
    Pages 117-127

  6. Abelian integrals with complex multiplication

    • Norbert Schappacher
    Pages 128-137

  7. Motives of CM modular forms

    • Norbert Schappacher
    Pages 138-147

  8. Back Matter

    Pages 148-160
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Keywords

About this book

The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the so-called formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply.

Bibliographic Information

  • Book Title: Periods of Hecke Characters

  • Authors: Norbert Schappacher

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0082094

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-18915-2Published: 24 February 1988

  • eBook ISBN: 978-3-540-38842-5Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XVIII, 162

  • Topics: Number Theory

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