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Value-Distribution of L-Functions

  • Jörn Steuding
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1877)

Table of contents

  1. Front Matter
    Pages I-XIII
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  2. Introduction
    Pages 1-33
  3. Dirichlet Series and Polynomial Euler Products
    Pages 35-47
  4. Interlude: Results from Probability Theory
    Pages 49-61
  5. Limit Theorems
    Pages 63-85
  6. Universality
    Pages 87-110
  7. The Selberg Class
    Pages 111-135
  8. Value-Distribution in the Complex Plane
    Pages 137-154
  9. The Riemann Hypothesis
    Pages 155-165
  10. Effective Results
    Pages 167-191
  11. Consequences of Universality
    Pages 193-207
  12. Dirichlet Series with Periodic Coefficients
    Pages 209-227
  13. Joint Universality
    Pages 229-248
  14. L-Functions of Number Fields
    Pages 249-283
  15. Back Matter
    Pages 285-322
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About this book

Keywords

L-functions Nevanlinna theory Probability theory Riemann hypothesis Selberg class analytic function universality value-distribution

Authors and affiliations

  • Jörn Steuding
    • 1
  1. 1.Department of MathematicsUniversity of WürzburgWürzburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-44822-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-26526-9
  • Online ISBN 978-3-540-44822-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site