English

Piltz divisor problem over number fields \`a la Vorono\"i

Number Theory 2020-09-08 v3

Abstract

In this article, we study the Piltz divisor problem, which is sometimes called the generalized Dirichlet divisor problem, over number fields. We establish an identity akin to Vorono\"i's formula concerning the error term in the Dirichlet divisor problem.

Cite

@article{arxiv.2004.02074,
  title  = {Piltz divisor problem over number fields \`a la Vorono\"i},
  author = {Soumyarup Banerjee},
  journal= {arXiv preprint arXiv:2004.02074},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T14:39:35.316Z