Polynomial Coefficient Enumeration

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dc.creatorAmdeberhan, Tewodros
dc.creatorStanley, Richard P.
dc.date2008-11-21
dc.date.accessioned2026-07-07T10:20:28Z
dc.date.available2026-07-07T10:20:28Z
dc.descriptionLet $f(x_1,...,x_k)$ 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.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/0811.3652
dc.identifierhttp://arxiv.org/abs/0811.3652
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174858
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.titlePolynomial Coefficient Enumeration
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