Analytic Continuation of some zeta functions

Details Analytic Continuation of some zeta functions Analytic Continuation of some zeta functions

2010-01-12

arxiv.org/abs/1001.1869v1

French Japanese Winter School on Zeta Functions and L-Functions, Miura : Japan (2008)

Mathematics

Number Theory

Scientific paper

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.

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