Zeta functions for Riemann zeros
Complex Variables
2015-07-10 v4 Number Theory
Abstract
A family of Zeta functions built as Dirichlet series over the Riemann zeros are shown to have meromorphic extensions in the whole complex plane, for which numerous analytical features (the polar structure, plus countably many special values) are explicitly displayed.
Cite
@article{arxiv.math/0104051,
title = {Zeta functions for Riemann zeros},
author = {A. Voros},
journal= {arXiv preprint arXiv:math/0104051},
year = {2015}
}
Comments
latex txt.tex, 1 file, 2 tables, 27 pages [SPhT-T01/033]. V4: typos corrected, note (end Sec. 3.3) and references added in proof