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Introduction

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1925)

Zeta functions are analytic functions with remarkable properties. They have played a crucial role in the proof of many significant theorems in mathematics: Dirichlet's theorem on primes in arithmetic progressions, the Prime Number Theorem, and the proofs of the Weil conjectures and the Taniyama—Shimura conjecture to name just a few.

Keywords

  • Zeta Function
  • Elliptic Curve
  • Algebraic Group
  • Nilpotent Group
  • Dirichlet Series

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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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). Introduction. In: Zeta Functions of Groups and Rings. Lecture Notes in Mathematics, vol 1925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74776-5_1

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