English

Generalized divisor functions in arithmetic progressions: II

Number Theory 2023-08-15 v2

Abstract

We obtain a new bound on the second moment of modified shifted convolutions of the generalized 3-fold divisor function, and show that, for applications, the modified version is sufficient.

Cite

@article{arxiv.2302.12815,
  title  = {Generalized divisor functions in arithmetic progressions: II},
  author = {D. T. Nguyen},
  journal= {arXiv preprint arXiv:2302.12815},
  year   = {2023}
}

Comments

Referee's correction and suggestions incorporated. 23 pages

R2 v1 2026-06-28T08:49:04.240Z