Skip navigation
Skip navigation

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


File Description SizeFormat Image
Best & Trudgian Linear relations of zeroes 2014.pdf388.46 kBAdobe PDFThumbnail

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator