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

Sary Drappeau; Andrew Granville; Xuancheng Shao

doi:10.1112/S0025579317000225

SMOOTH-SUPPORTED MULTIPLICATIVE FUNCTIONS in ARITHMETIC PROGRESSIONS beyond the x^1/2-BARRIER

Sary Drappeau
, Andrew Granville
, Xuancheng Shao

Mathematics

Producción científica: Article › revisión exhaustiva

6 Citas (Scopus)

Resumen

We show that smooth-supported multiplicative functions are well distributed in arithmetic progressions a1a₂^-1(mod q) on average over moduli q ≥ x^3/5-ϵwith (q,a1a2)=1.

Idioma original	English
Páginas (desde-hasta)	895-918
Número de páginas	24
Publicación	Mathematika
Volumen	63
N.º	3
DOI	https://doi.org/10.1112/S0025579317000225
Estado	Published - 2017

Nota bibliográfica

Publisher Copyright:
© 2017 University College London.

Financiación

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

Financiadores	Número del financiador
H2020 European Research Council
Horizon 2020 Framework Programme	670239

ASJC Scopus subject areas

General Mathematics

Acceder al documento

10.1112/S0025579317000225

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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.",

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