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

2023/05/02 by Masahiro Mine, Mine, Masahiro · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Graph theory and applications #Number Theory (math.NT) #Primary 11M35 #Secondary 41A30

paper · pdf · doi:10.48550/arxiv.2305.01262

openalex publication_date 2023/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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