SMOOTH-SUPPORTED MULTIPLICATIVE FUNCTIONS in ARITHMETIC PROGRESSIONS beyond the x1/2-BARRIER

Sary Drappeau, Andrew Granville, Xuancheng Shao

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We show that smooth-supported multiplicative functions are well distributed in arithmetic progressions a1a2-1(mod q) on average over moduli q ≥ x3/5-ϵwith (q,a1a2)=1.

Original languageEnglish
Pages (from-to)895-918
Number of pages24
JournalMathematika
Volume63
Issue number3
DOIs
StatePublished - 2017

Bibliographical note

Funding Information:
A.G. has received funding from the European Research Council grant agreement no. 670239

Publisher Copyright:
© 2017 University College London.

ASJC Scopus subject areas

  • Mathematics (all)

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