English

On the $L^1$ norm of an exponential sum involving the divisor function

Number Theory 2017-04-21 v1

Abstract

In this paper, we obtain bounds on the L1L^1 norm of the sum nxτ(n)e(αn)\sum_{n\le x}\tau(n) e(\alpha n) where τ(n)\tau(n) is the divisor function.

Keywords

Cite

@article{arxiv.1704.05953,
  title  = {On the $L^1$ norm of an exponential sum involving the divisor function},
  author = {D. A. Goldston and M. Pandey},
  journal= {arXiv preprint arXiv:1704.05953},
  year   = {2017}
}