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Speaker:

Karin Ikeda
Affiliation:

Kyushu University
Date:

Fri, 15/09/2023 - 10:50 - 11:10
Location:

MPIM Lecture Hall
Parent event:

Conference for Young Number Theorists in Bonn In this talk, I will present a solution to the problem of real zeros of the Hurwitz zeta function, which has remained unsolved in previous studies. After reviewing the works of Spira, Nakamura, Matsusaka, and Endo-Suzuki, I discuss the remaining case, namely the zeros in the interval $(-4, 0)$. This work shows that all real zeros of the Hurwitz zeta function, like the Riemann zeta function, are simple. I also present an observation of a curious behavior of a family of polynomials used in the proof.

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