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29 March 2024
 
  » arxiv » math.CO/0306036

 Article overview


The polynomial part of a restricted partition function related to the Frobenius problem
Matthias Beck ; Ira M. Gessel ; Takao Komatsu ;
Date 2 Jun 2003
Journal Electronic J. Comb. 8, no. 1 (2001), N 7
Subject Combinatorics; Number Theory MSC-class: 05A15; 11P81, 05A17 | math.CO math.NT
AbstractGiven 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.
Source arXiv, math.CO/0306036
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