On a Multiplicative Partition Function

نویسنده

  • Yifan Yang
چکیده

Let D(s) = ∑∞ m=1 amm −s be the Dirichlet series generated by the infinite product ∏∞ k=2(1− k−s). The value of am for squarefree integers m with n prime factors depends only on the number n, and we let f(n) denote this value. We prove an asymptotic estimate for f(n) which allows us to solve several problems raised in a recent paper by M. V. Subbarao and A. Verma.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 8  شماره 

صفحات  -

تاریخ انتشار 2001