English

The Generalized Riemann Hypothesis from zeros of the zeta function

Number Theory 2023-09-08 v3

Abstract

We show that the Generalized Riemann Hypothesis for all Dirichlet L-functions is a consequence of certain conjectural properties of the zeros of the Riemann zeta function. Conversely, we prove that the zeros of ζ(s)\zeta(s) satisfy those properties under GRH.

Keywords

Cite

@article{arxiv.2303.09510,
  title  = {The Generalized Riemann Hypothesis from zeros of the zeta function},
  author = {William D. Banks},
  journal= {arXiv preprint arXiv:2303.09510},
  year   = {2023}
}

Comments

9 pages; version 3 corrects minor typos, and a dedication has been added