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Linear relations of zeroes of the zeta-function

Best, Darcy G; Trudgian, Tim


This article considers linear relations between the non-trivial ze- roes of the Riemann zeta-function. The main application is an alternative disproof to Mertens’ conjecture by showing that lim supx→∞ M (x)x−1/2 ≥ 1.6383, and liminfx→∞ M(x)x−1/2 ≤ −1.6383.

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Mathematics of Computation


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