A note on zero density results implying large value estimates for Dirichlet polynomials
Number Theory
2024-03-21 v1
Abstract
In this note we investigate connections between zero density estimates for the Riemann zeta function and large value estimates for Dirichlet polynomials. It is well known that estimates of the latter type imply estimates of the former type. Our goal is to show that there is an implication to the other direction as well, i.e. zero density estimates for the Riemann zeta function imply large value estimates for Dirichlet polynomials.
Cite
@article{arxiv.2403.13157,
title = {A note on zero density results implying large value estimates for Dirichlet polynomials},
author = {Kaisa Matomäki and Joni Teräväinen},
journal= {arXiv preprint arXiv:2403.13157},
year = {2024}
}
Comments
16 pages