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

Bui, H.; Milinovich, M.; Ng, N.

doi:10.1090/S0002-9939-2010-10443-4

A note on the gaps between consecutive zeros of the Riemann zeta-function
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by H. M. Bui, M. B. Milinovich and N. C. Ng PDF

Proc. Amer. Math. Soc. 138 (2010), 4167-4175 Request permission

Abstract:

Assuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros of the Riemann zeta-function differ by at most 0.5155 times the average spacing and that infinitely often they differ by at least 2.6950 times the average spacing.

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