A dichotomy for extreme values of zeta and Dirichlet L-functions
Number Theory
2024-01-17 v1
Abstract
We exhibit large values of the Dedekind zeta function of a cyclotomic field on the critical line. This implies a dichotomy whereby one either has improved lower bounds for the maximum of the Riemann zeta function, or large values of Dirichlet -functions on the level of the Bondarenko--Seip bound.
Keywords
Cite
@article{arxiv.2302.08285,
title = {A dichotomy for extreme values of zeta and Dirichlet L-functions},
author = {Andriy Bondarenko and Pranendu Darbar and Markus Valås Hagen and Winston Heap and Kristian Seip},
journal= {arXiv preprint arXiv:2302.08285},
year = {2024}
}
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12 pages