The screw line of the Riemann zeta-function and its applications
Number Theory
2023-05-18 v3 Functional Analysis
Metric Geometry
Abstract
We investigate the screw line corresponding to the screw function associated with the Riemann zeta-function under the Riemann hypothesis and derive three necessary and sufficient conditions for the Riemann hypothesis as applications. One of them explains the non-negativity of the Weil distribution by means of the norm.
Keywords
Cite
@article{arxiv.2209.04658,
title = {The screw line of the Riemann zeta-function and its applications},
author = {Masatoshi Suzuki},
journal= {arXiv preprint arXiv:2209.04658},
year = {2023}
}
Comments
9 pages. One main result was added in the 3rd revision