Voronin Universality in several complex variables

2018/09/10 by Andersson, Johan
#11M32 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1809.03444

Abstract

We prove the Voronin universality theorem for the multiple Hurwitz zeta-function with rational or transcendental parameters in ℂⁿ answering a question of Matsumoto. In particular this implies that the Euler-Zagier multiple zeta-function is universal in several complex variables and gives the first example of a Dirichlet series that is universal in more than one variable.

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