Let f(n) and g(n) be the number of unordered and ordered factorizations of n into integers larger than one. Let F(n) and G(n) have the additional restriction that the factors are coprime. We establish asymptotic bounds for the sums of F(n)β and G(n)β up to x for all real β and the asymptotic bounds for f(n)β and g(n)β for all negative β.

中文翻译：

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关于因式分解成互质部分

让F(n)和G(n)是无序和有序分解的数量n成大于一的整数。让F(n)和G(n)具有因子互质的附加限制。我们为总和建立渐近界F(n)β和G(n)β取决于X对于所有真实的β和渐近界F(n)β和G(n)β对于所有负面的β.