English

An Explicit Formula For The Divisor Function

General Mathematics 2014-05-20 v1

Abstract

The details for the construction of an explicit formula for the divisors function d(n) = #{d | n} are formalized in this article. This formula facilitates a unified approach to the investigation of the error terms of the divisor problem and circle problem.

Cite

@article{arxiv.1405.4784,
  title  = {An Explicit Formula For The Divisor Function},
  author = {N. A. Carella},
  journal= {arXiv preprint arXiv:1405.4784},
  year   = {2014}
}

Comments

Twenty Eight Pages. Keywords: Divisor Function, Explicit Formula, Divisor Problem

R2 v1 2026-06-22T04:18:04.547Z