The polynomial part of a restricted partition function related to the Frobenius problem
Combinatorics
2007-05-23 v1 Number Theory
Abstract
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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Cite
@article{arxiv.math/0306036,
title = {The polynomial part of a restricted partition function related to the Frobenius problem},
author = {Matthias Beck and Ira M. Gessel and Takao Komatsu},
journal= {arXiv preprint arXiv:math/0306036},
year = {2007}
}
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5 pages