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WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION?
Published online by Cambridge University Press: 24 August 2018
Abstract
Let $f$ and
$g$ be 1-bounded multiplicative functions for which
$f\ast g=1_{.=1}$. 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.
MSC classification
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- Research Article
- Information
- Creative Commons
- 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.
- Copyright
- © The Author(s) 2018
References
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