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

Mathematics – Combinatorics

Scientific paper

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5 pages

Scientific paper

Given a set of positive integers A = {a_1,...,a_n}, we study the number p_A
(t) of nonnegative integer solutions (m_1,...,m_n) to m_1 a_1 + ... m_n a_n =
t. We derive an explicit formula for the polynomial part of p_A.

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