Gaps between zeros of the Riemann zeta-function

Abstract

We prove that there exist infinitely many consecutive zeros of the Riemann zeta-function on the critical line whose gaps are greater than $3.18$ times the average spacing. Using a modification of our method, we also show that there are even larger gaps between the multiple zeros of the zeta function on the critical line (if such zeros exist).

References in corpus (1)

• Gaps between zeros of GL(2) $L$-functions