Numerical computations on the zeros of the Euler double zeta-function II

2016/06/13 by Kohji Matsumoto, Matsumoto, Kohji, Mayumi Shōji +1
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1606.03806

openalex publication_date 2016/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the behavior of zero-divisors of the double zeta-function ζ₂(s₁,s₂). In our former paper \citeMatSho14 we studied the case s₁=s₂, but in the present paper we consider the more general two variable situation. We carry out numerical computations in order to trace the behavior of zero-divisors. We observe that some divisors approach the points with s₂=0, while other divisors approach the points which are solutions of ζ(s₂)=1.

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