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
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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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DOI: https://doi.org/10.1007/978-3-540-74776-5_1
Publisher Name: Springer, Berlin, Heidelberg
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