Skip navigation
Skip navigation

Updating the error term in the prime number theorem

Trudgian, Tim S.


An improved estimate is given for |θ (x) − x|, where θ (x) = p≤x log p. Four applications are given: the first to arithmetic progressions that have points in common, the second to primes in short intervals, the third to a conjecture by Pomerance and the fourth to an inequality studied by Ramanujan.

CollectionsANU Research Publications
Date published: 2015-01-08
Type: Journal article
Source: The Ramanujan Journal
DOI: 10.1007/s11139-014-9656-6


File Description SizeFormat Image
Trudgian Updating the error term 2015.pdf274.13 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