The divisor function in arithmetic progressions to smooth moduli
Number Theory
2014-04-08 v2
Abstract
By using the -analogue of van der Corput's method we study the divisor function in an arithmetic progression to modulus . We show that the expected asymptotic formula holds for a larger range of than was previously known, provided that has a certain factorisation.
Cite
@article{arxiv.1403.8031,
title = {The divisor function in arithmetic progressions to smooth moduli},
author = {A. J. Irving},
journal= {arXiv preprint arXiv:1403.8031},
year = {2014}
}
Comments
20 pages