Let f:ℤ+ → ℤ+ be a polynomial with the property that corresponding to every prime p there exists an integer ℓ such that p ∤ f(ℓ). In this paper, we establish some equidistributed results between the number of partitions of an integer n whose parts are taken from the sequence {f(ℓ)}ℓ=1∞ and the number of parts of those partitions which are in a certain arithmetic progression.

中文翻译：

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注意在等差数列中将多项式划分为具有部分数的多项式

让F：ℤ+ → ℤ+是一个多项式，其性质对应于每个素数p存在一个整数ℓ这样p ∤ F(ℓ). 在本文中，我们在整数的分区数之间建立了一些等分布的结果n其部分取自序列{F(ℓ)}ℓ=1∞以及处于某个算术级数中的那些分区的部分数。