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

H. M. Bui; M. B. Milinovich; Nathan Ng

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

H. M. Bui
, M. B. Milinovich
, Nathan Ng

University of Lethbridge
University of Mississippi

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	4167-4175
Journal	Proceedings of the American Mathematical Society
Volume	138
Issue number	12
Early online date	28 May 2010
Publication status	Published - Dec 2010

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Cite this

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title = "A note on the gaps between consecutive zeros of the Riemann zeta-function",

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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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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

Abstract

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