论文标题

$ n $的$ k $ compositions满足某些共同点条件

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

论文作者

Tóth, László

论文摘要

我们将Bubboloni,Luca和Spiga(2012)的渐近估计概括,$ k $ compositions $ n $的$ k $ compositions满足某些共同点条件。我们基本上完善了有关$ k $ compositions $ n $的数字,以及相对优质的总和。我们基于$ K $变量的乘法算术函数的属性以及用于限制分区函数的渐近公式的属性。

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.

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