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arXiv · 0910.2052

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

H. M. Bui·M. B. Milinovich·N. Ng
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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 infinitely often they differ by at least 2.69 times the average spacing.

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H. M. Bui, M. B. Milinovich, N. Ng. 2009-10-11. A note on the gaps between consecutive zeros of the Riemann zeta-function. https://doi.org/10.1090/s0002-9939-2010-10443-4

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