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

Abstract

The distribution of the zeros of the Euler double zeta-function ${\zeta }_2(s_1,s_2)$, in the case when $s_1=s_2$, is studied numerically. Some similarity to the distribution of the zeros of Hurwitz zeta-functions is observed.

17 pages, 15figures