Dynamical, Spectral, and Arithmetic Zeta Functions: Ams Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas Spectr Ams Special Session on Dynamical

ISBN: 9780821820797

Published: February 1st 2002

Paperback

195 pages


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Dynamical, Spectral, and Arithmetic Zeta Functions: Ams Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas  by  Spectr Ams Special Session on Dynamical

Dynamical, Spectral, and Arithmetic Zeta Functions: Ams Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas by Spectr Ams Special Session on Dynamical
February 1st 2002 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 195 pages | ISBN: 9780821820797 | 6.14 Mb

The original zeta function was studied by Riemann as part of his investigation of the distribution of prime numbers. Other sorts of zeta functions were defined for number-theoretic purposes, such as the study of primes in arithmetic progressions.MoreThe original zeta function was studied by Riemann as part of his investigation of the distribution of prime numbers. Other sorts of zeta functions were defined for number-theoretic purposes, such as the study of primes in arithmetic progressions.

This led to the development of $L$-functions, which now have several guises. It eventually became clear that the basic construction used for number-theoretic zeta functions can also be used in other settings, such as dynamics, geometry, and spectral theory, with remarkable results.

This volume grew out of the special session on dynamical, spectral, and arithmetic zeta functions held at the annual meeting of the American Mathematical Society in San Antonio, but also includes four articles that were invited to be part of the collection.

The purpose of the meeting was to bring together leading researchers, to find links and analogies between their fields, and to explore alternative methods. The papers discuss dynamical systems, spectral geometry on hyperbolic manifolds, trace formulas in geometry and in arithmetic, as well as computational work on the Riemann zeta function. Each article employs techniques of zeta functions.



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