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Elementary Theory of L-functions and Eisenstein Series

Elementary Theory of L-functions and Eisenstein Series


Part of London Mathematical Society Student Texts

  • Author: Haruzo Hida, University of California, Los Angeles
  • Date Published: February 1993
  • availability: Available
  • format: Paperback
  • isbn: 9780521435697

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About the Authors
  • The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.

    • The book begins from basics and assumes no specialist knowledge
    • Hida is an internationally well-known mathematician
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    Product details

    • Date Published: February 1993
    • format: Paperback
    • isbn: 9780521435697
    • length: 400 pages
    • dimensions: 228 x 151 x 20 mm
    • weight: 0.571kg
    • availability: Available
  • Table of Contents

    Suggestions to the reader
    1. Algebraic number theory
    2. Classical L-functions and Eisenstein series
    3. p-adic Hecke L-functions
    4. Homological interpretation
    5. Elliptical modular forms and their L-functions
    6. Modular forms and cohomology groups
    7. Ordinary L-adic forms, two-variable p-adic Rankin products and Galois representations
    8. Functional equations of Hecke L-functions
    9. Adelic Eisenstein series and Rankin products
    10. Three-variable p-adic Rankin products
    Answers to selected exercises

  • Author

    Haruzo Hida, University of California, Los Angeles

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