arXiv:2012.11837 [math.NT]AbstractReferencesReviewsResources
A summation of the number of distinct prime divisors of the lcm
Published 2020-12-22Version 1
Let $x$ be a positive integer. We give an asymptotic result for $\omega(\operatorname{lcm}(m,n))$ summed over all positive integers $m$ and $n$ with $mn \le x$. This answers an open question posed in a recent paper.
Comments: 4 pages
Categories: math.NT
Related articles: Most relevant | Search more
arXiv:math/0602270 [math.NT] (Published 2006-02-13)
On the spacing distribution of the Riemann zeros: corrections to the asymptotic result
arXiv:0912.2508 [math.NT] (Published 2009-12-13)
On the series of the reciprocals lcm's of sequences of positive integers: A curious interpretation
On representations of positive integers by $(a+c)^{1/3}x + (b+d)y$, $(a+c)x + \bigl(k(b+d) \bigr)^{1/3} y$, and $\bigl(k(a+c) \bigr)^{1/3} x + l(b+d) y$