A note on the distribution of gaps between zeros of the Riemann zeta-function

Wu, XiaoSheng

doi:10.1090/S0002-9939-2013-11833-2

A note on the distribution of gaps between zeros of the Riemann zeta-function
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by XiaoSheng Wu PDF

Proc. Amer. Math. Soc. 142 (2014), 851-857 Request permission

Abstract:

Assuming the Riemann Hypothesis, we prove that a positive proportion of the time, the gap between consecutive zeros of the Riemann zeta-function is smaller than $0.6553$ times the average spacing and that a positive proportion of the time, the gap between consecutive zeros is larger than $1.6989$ times the average spacing.

References

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