Skip navigation
Skip navigation

Updating the error term in the prime number theorem

Trudgian, Tim S.

Description

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
URI: http://hdl.handle.net/1885/14913
Source: The Ramanujan Journal
DOI: 10.1007/s11139-014-9656-6
Access Rights: Open Access

Download

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:  22 January 2019/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator