Granville, A;
Shao, X;
(2018)
When Does the Bombieri–Vinogradov
Theorem Hold for a Given Multiplicative
Function?
Forum of Mathematics, Sigma
, 6
, Article e15. 10.1017/fms.2018.14.
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Abstract
Let f and g be 1-bounded multiplicative functions for which f ∗ g = 1.=1. The Bombieri-Vinogradov Theorem holds for both f and g if and only if the Siegel-Walfisz criterion holds for both f and g, and the Bombieri-Vinogradov Theorem holds for f restricted to the primes.
| Type: | Article |
|---|---|
| Title: | When Does the Bombieri–Vinogradov Theorem Hold for a Given Multiplicative Function? |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/fms.2018.14 |
| Publisher version: | http://doi.org/10.1017/fms.2018.14 |
| Language: | English |
| Additional information: | Copyright © The Author(s) 2018. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/1568745 |
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