论文标题

二项式三级产品总和的应用

An application of sums of triple products of binomials

论文作者

Barry, Michael J. J.

论文摘要

我们证明,某些三个二项式产品的总和具有交替的行为模式为Prime $ p $。为了实现这一目标,我们将这些款项重写为三种二项式产品的签名总和,更好地处理$ p $,我们给出了两种相关的三个二项式签名产品的封闭形式表达式。

We prove that a certain family of sums of products of three binomials has alternating behavior modulo a prime $p$. To accomplish this we rewrite these sums as signed sums of products of three binomials, the better to handle $p$, and we give closed-form expressions for two related sums of signed products of three binomials.

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