关于满足一定互素条件的$n$的$k$ -复合的个数
On the number of $k$-compositions of $n$ satisfying certain coprimality conditions
摘要：
我们推广了Bubboloni，Luca和Spiga（2012）关于满足某些互质条件的$n$的$k$ -复合数的渐近估计.我们实质上完善的错误项有关的数量$k$ -组合物的$n$与成对的互素和。我们使用不同的方法，基于$k$变量的乘法算术函数的性质和限制分拆函数的渐近公式。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
