English

A Voronoi summation formula for the shifted triple divisor function

Number Theory 2023-06-28 v1

Abstract

In this paper, we prove a Voronoi summation formula for the shifted 3-fold divisor function twisted by additive characters. As the main tool, we provide the functional equation for the shifted GL(3)GL(3) Estermann function.

Keywords

Cite

@article{arxiv.2306.15553,
  title  = {A Voronoi summation formula for the shifted triple divisor function},
  author = {Alessandro Fazzari},
  journal= {arXiv preprint arXiv:2306.15553},
  year   = {2023}
}
R2 v1 2026-06-28T11:15:48.610Z