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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.
Document Type
Article
Publication Date
8-24-2018
Digital Object Identifier (DOI)
https://doi.org/10.1017/fms.2018.14
Funding Information
A.G. has received funding from the European Research Council grant agreement no 670239, and from NSERC Canada under the CRC program. X.S. was supported by a Glasstone Research Fellowship.
Repository Citation
Granville, Andrew and Shao, Xuancheng, "When Does the Bombieri–Vinogradov Theorem Hold for a Given Multiplicative Function?" (2018). Mathematics Faculty Publications. 35.
https://uknowledge.uky.edu/math_facpub/35
Notes/Citation Information
Published in Forum of Mathematics, Sigma, v. 6, e15, p. 1-23.
© 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.