The notion of weekly uniform distribution of arithmetical functions was introduced by W. Narckiewicz. For many functions in various papers, the problem of existence of such distribution was solved, and asymptotic formulas for frequency of hits of function values in residue classes coprime with a module were established. These asymptotic formulas contained, as a rule, only principal part of the asymptotics. A similar problem is solved in the present paper for the function which gives the number of square-free divisors of a natural number, but the asymptotic formula is the asymptotic series.

中文翻译：

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残差类中无平方除数的分布

W. Narckiewicz介绍了每周均匀分布算术函数的概念。针对各种论文中的许多函数，解决了这种分布存在的问题，并建立了与模块互质的残差类中函数值的命中频率的渐近公式。这些渐近公式通常仅包含渐近的主要部分。对于给出给定自然数的无平方除数的函数，本论文解决了类似的问题，但渐近公式为渐近级数。