A panorama on zeta functions

2002/10/31 by Anton Deitmar
Mathematics · #math.NT

paper · pdf

published as in: Erich Kaehler: Mathematical Works. de Gruyter 2003 · LaTex, 15 pages

arxiv created 2005/09/29 · arxiv updated 2009/11/30

Abstract

In this essay I will give a strictly subjective selection of different types of zeta functions. Instead of providing a complete list, I will rather try to give the central concepts and ideas underlying the theory. This article is going to appear in the collected works of Erich Kähler.

Related

• Aspects of Zeta-Function Theory in the Mathematical Works of Adolf Hurwitz
• Some notes about the Zeta function and the Riemann hypothesis
• On some recent results in the theory of the zeta-function
• Spectral zeta functions
• The distribution of values of zeta and L-functions