A summation of the number of distinct prime divisors of the lcm

2020/12/22 by Heyman, Randell
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2012.11837

Abstract

Let x be a positive integer. We give an asymptotic result for ω(lcm(m,n)) summed over all positive integers m and n with mn ≤ x. This answers an open question posed in a recent paper.

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