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Gaps between zeros of the Riemann zeta-function (1410.3635v3)
Published 14 Oct 2014 in math.NT
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).