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arXiv · 1410.3635

Gaps between zeros of the Riemann zeta-function

H. M. Bui·M. B. Milinovich
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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).

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H. M. Bui, M. B. Milinovich. 2014-10-14. Gaps between zeros of the Riemann zeta-function. https://arxiv.org/abs/1410.3635

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