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.

arXiv comment17 pages, 15figures

References in corpus (2)

• Any non-monomial polynomial of the Riemann zeta-function has complex zeros off the critical line
• On certain mean values of the double zeta-function

Cited by in corpus (1)

• Value distribution for the derivatives of the logarithm of $L$-functions from the Selberg class in the half-plane of absolute convergence