On the exponent of distribution of the ternary divisor function
Number Theory
2019-02-20 v2
Abstract
We show that the exponent of distribution of the ternary divisor function in arithmetic progressions to prime moduli is at least 1/2+1/46, improving results of Heath-Brown and Friedlander--Iwaniec. Furthermore, when averaging over a fixed residue class, we prove that this exponent is increased to 1/2 +1/34.
Keywords
Cite
@article{arxiv.1304.3199,
title = {On the exponent of distribution of the ternary divisor function},
author = {Étienne Fouvry and Emmanuel Kowalski and Philippe Michel},
journal= {arXiv preprint arXiv:1304.3199},
year = {2019}
}
Comments
20 pages; minor corrections