1. On the number of $$k$$-compositions $$n$$ satisfying certain coprimality conditions
- Author
-
László Tóth
- Subjects
Partition function (quantum field theory) ,Mathematics - Number Theory ,Coprime integers ,General Mathematics ,010102 general mathematics ,Multiplicative function ,05A17, 11N37, 11P81 ,010103 numerical & computational mathematics ,Term (logic) ,01 natural sciences ,Combinatorics ,Mathematics - Combinatorics ,Arithmetic function ,Pairwise comparison ,Asymptotic formula ,0101 mathematics ,Mathematics - 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., Comment: revised
- Published
- 2021