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arXiv · 1606.03806

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

Kohji Matsumoto·Mayumi Shōji
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Abstract

We study the behavior of zero-divisors of the double zeta-function $\zeta_2(s_1,s_2)$. In our former paper \cite{MatSho14} we studied the case $s_1=s_2$, 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 $s_2=0$, while other divisors approach the points which are solutions of $\zeta(s_2)=1$.

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Kohji Matsumoto, Mayumi Shōji. 2016-06-13. Numerical computations on the zeros of the Euler double zeta-function II. https://arxiv.org/abs/1606.03806

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