Li coefficients as norms of functions in a model space
Number Theory
2023-06-16 v2
Abstract
It is known that the nonnegativity of Li coefficients is a necessary and sufficient condition for the Riemann hypothesis. We show that it is a necessary and sufficient condition for the Riemann hypothesis that all Li coefficients are norms of certain concrete functions on the real line. Such conditional formulas for Li coefficients are understood as a kind of Weil's criterion for the Riemann hypothesis.
Cite
@article{arxiv.2301.05779,
title = {Li coefficients as norms of functions in a model space},
author = {Masatoshi Suzuki},
journal= {arXiv preprint arXiv:2301.05779},
year = {2023}
}
Comments
13 pages