On the number of $k$-compositions of $n$ satisfying certain coprimality conditions

Abstract

We generalize the asymptotic estimates by Bubboloni, Luca and Spiga (2012) on the number of $k$-compositions of $n$ satisfying some coprimality conditions. We substantially refine the error term concerning the number of $k$-compositions of $n$ with pairwise relatively prime summands. We use a different approach, based on properties of multiplicative arithmetic functions of $k$ variables and on an asymptotic formula for the restricted partition function.

revised

References in corpus (2)

• On the restricted partition function
• Counting $r$-tuples of positive integers with $k$-wise relatively prime components