On The Exponent Of Distribution Of The Ternary Divisor Function
2015
Abstract
We show that the exponent of distribution of the ternary divisor function d(3) in arithmetic progressions to prime moduli is at least 1/2 + 1/46, improving results of Friedlander-Iwaniec and Heath-Brown. Furthermore, when averaging over a fixed residue class, we prove that this exponent is increased to 1/2 + 1/34.
Details
Title
On The Exponent Of Distribution Of The Ternary Divisor Function
Author(s)
Fouvry, Etienne ; Kowalski, Emmanuel ; Michel, Philippe
Published in
Mathematika
Pagination
24
Volume
61
Issue
1
Pages
121-144
Date
2015
Publisher
London, London Mathematical Society, Cambridge
ISSN
0025-5793
Note
National Licences
Other identifier(s)
View record in Web of Science
Laboratories
TAN
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > TAN - Chair of analytic number theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2015-05-29