English

A summation involving the number of divisors function and the GCD function

Number Theory 2020-12-14 v6

Abstract

Let NN be a positive number. We give an asymptotic formula for the sum of τ(gcd(a,b))\tau(\gcd(a,b)) for all aa and bb with abNab \le N.

Keywords

Cite

@article{arxiv.2003.13937,
  title  = {A summation involving the number of divisors function and the GCD function},
  author = {Randell Heyman},
  journal= {arXiv preprint arXiv:2003.13937},
  year   = {2020}
}

Comments

6 pages. Published in Journal of Integer Sequences

R2 v1 2026-06-23T14:33:08.646Z