The polynomial part of a restricted partition function related to the Frobenius problem

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Abstract

Given a set of positive integers A = {a1,...,an}, we study the number pA(t) of nonnegative integer solutions (m 1,...,mn) to Σnj=1m jaj = t. We derive an explicit formula for the polynomial part of pA.

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Beck, M., Gessel, I. M., & Komatsu, T. (2001). The polynomial part of a restricted partition function related to the Frobenius problem. Electronic Journal of Combinatorics, 8(1 N), 1–5. https://doi.org/10.37236/1592

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