English

Large values of Dirichlet polynomials and zero density estimates for the Riemann zeta function

Number Theory 2019-09-27 v1

Abstract

In this paper we obtain some new estimates for the number of large values of Dirichlet polynomials. Our results imply new zero density estimates for the Riemann zeta function which give a small improvement on results of Bourgain and Jutila.

Keywords

Cite

@article{arxiv.1909.12075,
  title  = {Large values of Dirichlet polynomials and zero density estimates for the Riemann zeta function},
  author = {Bryce Kerr},
  journal= {arXiv preprint arXiv:1909.12075},
  year   = {2019}
}
R2 v1 2026-06-23T11:26:50.980Z