On the domain of meromorphy of a multivariate Euler product of Igusa type

Details On the domain of meromorphy of a multivariate Euler product of Igusa type On the domain of meromorphy of a multivariate Euler product of Igusa type

2010-04-02

arxiv.org/abs/1004.0360v2

Mathematics

Number Theory

30 pages

Scientific paper

This work is an answer to a problem posed by N. Kurokawa and H. Ochiai
concerning the natural boundary of meromorphy of a multivariate Euler product
of Igusa type. More generally, we introduce and determine the maximal domain of
meromorphy of a class of multivariate pseudo-uniform Euler products.

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