A new approach to gaps between zeta zeros

2019/10/06 by Aryan, Farzad
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1910.02408

Abstract

We study the value-distribution of Dirichlet polynomials on the critical line \Re(s)=\tfrac12. As a consequence, we prove a corollary on small consecutive gaps between zeros of the Riemann zeta function. We also examine the distribution of zeros under the so-called alternative hypothesis and present a new approach to the problem of gaps between the zeros.

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