A new approach to gaps between zeta zeros

Abstract

We study the value-distribution of Dirichlet polynomials on the critical line $\Re (s)=\frac{1}{2}$. 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.

19 pages