Gaps between zeros of the Riemann zeta-function

H. M. Bui; M. B. Milinovich

doi:10.1093/qmath/hax047

Gaps between zeros of the Riemann zeta-function

H. M. Bui
, M. B. Milinovich

University of Mississippi

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

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Abstract

We prove that there exist infinitely many consecutive zeros of the Riemann zeta-function on the critical line whose gaps are greater than 3.18 times the average spacing. Using a modification of our method, we also show that there are even larger gaps between the multiple zeros of the Riemann zeta-function on the critical line (if such zeros exist).

Original language	English
Pages (from-to)	403-423
Number of pages	21
Journal	Quarterly Journal of Mathematics
Volume	69
Issue number	2
Early online date	26 Sept 2017
DOIs	https://doi.org/10.1093/qmath/hax047
Publication status	Published - Jun 2018

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abstract = "We prove that there exist infinitely many consecutive zeros of the Riemann zeta-function on the critical line whose gaps are greater than 3.18 times the average spacing. Using a modification of our method, we also show that there are even larger gaps between the multiple zeros of the Riemann zeta-function on the critical line (if such zeros exist).",

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Gaps between zeros of the Riemann zeta-function

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