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Elementary Theory of L-Functions I

  • E. Kowalski

Abstract

In this first chapter we will define and describe, in a roughly chronological order from the time of Euler to that of Hecke, some interesting classes of holomorphic functions with strange links to many aspects of number theory. Later chapters will explain how at least some of the mysterious aspects are understood today. But it should be emphasized that there are still many points that are not fully explained, even in a very sketchy, philosophical way.

Keywords

Prime Ideal Zeta Function Galois Group Number Field Elementary Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • E. Kowalski

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