Screw functions of Dirichlet series in the extended Selberg class
Number Theory
2025-10-21 v2
Abstract
We introduce screw functions for Dirichlet series in the extended Selberg class. Then we prove that the Grand Riemann Hypothesis for a member of the extended Selberg class is equivalent to the nonpositivity of the corresponding screw function.
Keywords
Cite
@article{arxiv.2209.12832,
title = {Screw functions of Dirichlet series in the extended Selberg class},
author = {Masatoshi Suzuki},
journal= {arXiv preprint arXiv:2209.12832},
year = {2025}
}
Comments
7 pages