Drappeau, S;
Granville, A;
Shao, X;
(2017)
Smooth-Supported Multiplicative Functions in Arithmetic Progressions Beyond the x^{1/2}-Barrier.
Mathematika
, 63
(3)
pp. 895-918.
10.1112/S0025579317000225.
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Abstract
We show that smooth-supported multiplicative functions ƒ are well distributed in arithmetic progressions a₁a₂⁻¹ (mod q) on average over moduli q ≤ x^{3/5-ε} with (q, a₁a₂) = 1.
| Type: | Article |
|---|---|
| Title: | Smooth-Supported Multiplicative Functions in Arithmetic Progressions Beyond the x^{1/2}-Barrier |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1112/S0025579317000225 |
| Publisher version: | https://doi.org/10.1112/S0025579317000225 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Multiplicative functions, Arithmetic progressions, Bombieri–Vinogradov theorem |
| 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.ucl.ac.uk/id/eprint/1557735 |
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