On gaps between zeros of the Riemann zeta function

2010/03/03 by Shaoji Feng, Feng, Shaoji, Xiaosheng Wu +1
Mathematics · #Analytic Number Theory Research #Meromorphic and Entire Functions #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1003.0752

Abstract

Assuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros of the Riemann zeta-function differ by at least 2.7327 times the average spacing and infinitely often they differ by at most 0.5154 times the average spacing.

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