Correlations of the divisor function
Number Theory
2014-02-26 v4
Abstract
In this paper we study linear correlations of the divisor function tau(n) = sum_{d|n} 1 using methods developed by Green and Tao. For example, we obtain an asymptotic for sum_{n,d} tau(n) tau(n+d) ... tau(n+ (k-1)d).
Keywords
Cite
@article{arxiv.1011.0019,
title = {Correlations of the divisor function},
author = {Lilian Matthiesen},
journal= {arXiv preprint arXiv:1011.0019},
year = {2014}
}
Comments
33 pages. Corrections and journal reference