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arXiv · 2609.33324

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

Kohji Matsumoto·Tomokazu Onozuka·Isao Wakabayashi
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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.

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Kohji Matsumoto, Tomokazu Onozuka, Isao Wakabayashi. 2026-09-27. On the distribution of the zeros of the Euler double zeta-function $ζ_2(s,s)$. https://arxiv.org/abs/2609.33324

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