Work

On the distribution of the zeros of the Euler double zeta-function $ζ_2(s,s)$

Year: 2026

Type: preprint

Abstract: We investigate the distribution of zeros of the function $ζ_2(s,s)$, namely the function defined by putting $s_1=s_2=s$ in the Euler double zeta-function $ζ_2(s_1,s_2)$. Our theorems provide refinements of observations, obtained numerically in a previous paper by the first author and M. Shōji, with rigorous theoretical proofs.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.33324

Authors: Matsumoto, Kohji, Onozuka, Tomokazu, Wakabayashi, Isao

Institution: Seikei University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Value-distribution theory of zeta and multiple zeta functions

OpenAlex ID: W7214771364

Cites:

Cited by: 1

Related to: 10