Analytic Continuation of some zeta functions

Gautami Bhowmik (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

This is an expository paper on the meromorphic continuation of zeta functions with Euler products (for example zeta functions of groups and height zeta functions) or without (for example the Goldbach zeta function). As an application we show how a natural boundary of analytic continuation can give asymptotic results.

Domains: Number Theory [math.NT]

Gautami Bhowmik. Analytic Continuation of some zeta functions. French Japanese Winter School on Zeta Functions and L-Functions, Jan 2008, Miura, Japan. pp.1--16. ⟨hal-00446273⟩