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arXiv · 0811.3652

Polynomial Coefficient Enumeration

Tewodros Amdeberhan·Richard P. Stanley
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Abstract

Let $f(x_1,...,x_k)$ be a polynomial over a field $K$. This paper considers such questions as the enumeration of the number of nonzero coefficients of $f$ or of the number of coefficients equal to $α\in K^*$. For instance, if $K=\ff_q$ then a matrix formula is obtained for the number of coefficients of $f^n$ that are equal to $α\in \ff_q^*$, as a function of $n$. Many additional results are obtained related to such areas as lattice path enumeration and the enumeration of integer points in convex polytopes.

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BibTeXRIS

Tewodros Amdeberhan, Richard P. Stanley. 2008-11-21. Polynomial Coefficient Enumeration. https://arxiv.org/abs/0811.3652

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