论文标题

一类稀疏多项式的分裂性和算术特性

Divisibility and Arithmetic Properties of a Class of Sparse Polynomials

论文作者

Dilcher, Karl, Ulas, Maciej

论文摘要

我们研究了具有二项式系数的一类稀疏多项式序列的代数和算术特性,既是指数和系数。除了可驱缘性和不可约性结果外,我们还考虑了合理的根源。这导致研究了无限类的整数序列,这些整数序列具有有趣的特性并满足线性复发关系。

We investigate algebraic and arithmetic properties of a class of sequences of sparse polynomials that have binomial coefficients both as exponents and as coefficients. In addition to divisibility and irreducibility results we also consider rational roots. This leads to the study of an infinite class of integer sequences which have interesting properties and satisfy linear recurrence relations.

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