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

2019/09/26 by Bryce Kerr, Kerr, Bryce
Mathematics · #Analytic Number Theory Research #Advanced Algebra and Geometry #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.1909.12075

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.

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