New developments toward the Gonek Conjecture on the Hurwitz zeta-function

Masahiro Mine

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arXiv · 2305.01262

New developments toward the Gonek Conjecture on the Hurwitz zeta-function

Masahiro Mine

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Abstract

In this paper, we prove a version of the universality theorem for the Hurwitz zeta-function in the case where the parameter is algebraic and irrational. Then we apply the result to show that many of such Hurwitz zeta-functions have infinitely many zeros in the right half of the critical strip.

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Masahiro Mine. 2023-05-02. New developments toward the Gonek Conjecture on the Hurwitz zeta-function. https://arxiv.org/abs/2305.01262

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