A note on the gaps between consecutive zeros of the Riemann zeta-function-Reference-Cited by-同舟云学术

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

Published:2010-05-28 Issue:12 Volume:138 Page:4167-4175
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bui H.,Milinovich M.,Ng N.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2010-138-12/S0002-9939-2010-10443-4/S0002-9939-2010-10443-4.pdf

Reference13 articles.

1. H. M. Bui, Large gaps between consecutive zeros of the Riemann zeta-function, submitted. Available on the arXiv at http://arxiv.org/abs/0903.4007.

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4. Spacing of zeros of Hecke 𝐿-functions and the class number problem;Conrey, B.;Acta Arith.,2002

5. A new unconditional result about large spaces between zeta zeros;Hall, R. R.;Mathematika,2005

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