Large gaps between consecutive zeros of the Riemann zeta-function

H. M. Bui

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arXiv · 0903.4007

Large gaps between consecutive zeros of the Riemann zeta-function

H. M. Bui

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Abstract

Combining the mollifiers, we exhibit other choices of coefficients that improve the results on large gaps between the zeros of the Riemann zeta-function. Precisely, assuming the Generalized Riemann Hypothesis (GRH), we show that there exist infinitely many consecutive gaps greater than 3.033 times the average spacing.

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H. M. Bui. 2009-03-24. Large gaps between consecutive zeros of the Riemann zeta-function. https://arxiv.org/abs/0903.4007

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