English

A geometrical summation method for the Riemann z\^eta function

General Mathematics 2019-03-27 v1

Abstract

In this paper, we introduce a geometrical summation method that makes the original Riemann series converge over the critical strip. This method gives an analytical function, that coincides with z\^eta. This point of view allows us to introduce a quantity of interest that seems to give a characterization of the non-trivial zeros of the Riemann z\^eta function.

Keywords

Cite

@article{arxiv.1903.10853,
  title  = {A geometrical summation method for the Riemann z\^eta function},
  author = {Ulysse Reglade},
  journal= {arXiv preprint arXiv:1903.10853},
  year   = {2019}
}
R2 v1 2026-06-23T08:19:26.986Z