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

2020/03/31 by Randell Heyman, Heyman, Randell
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2003.13937

openalex publication_date 2020/03/31 · openalex created_date 2020/04/10 · openalex updated_date 2026/07/28

Abstract

Let N be a positive number. We give an asymptotic formula for the sum of τ(gcd(a,b)) for all a and b with ab ≤ N.

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