English

Note on the Zeros of a Dirichlet Function

Complex Variables 2015-03-18 v1

Abstract

The existence of non trivial zeros off the critical line for a function obtained by analytic continuation of a particular Dirichlet series is studied. Contrary to what has been presumed for a long time, we prove that such zeros cannot exist.

Keywords

Cite

@article{arxiv.1503.05129,
  title  = {Note on the Zeros of a Dirichlet Function},
  author = {Les Ferry and Dorin Ghisa and Florin Alan Muscutar},
  journal= {arXiv preprint arXiv:1503.05129},
  year   = {2015}
}

Comments

7 pages, 2 figures

R2 v1 2026-06-22T08:55:27.270Z