Geodesic
The polynomial part of a restricted partition function related to the Frobenius problem
The electronic journal of combinatorics, Tome 8 (2001) no. 1
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Given a set of positive integers $ A = \{ a_{1} , \dots , a_{n} \} $, we study the number $ p_{A} (t) $ of nonnegative integer solutions $ \left( m_{1} , \dots , m_{n} \right) $ to $ \sum_{j=1}^{n} m_{j} a_{j} = t $. We derive an explicit formula for the polynomial part of $p_A$.
DOI : 10.37236/1592
Classification : 05A15, 11P81, 05A17
Mots-clés : Frobenius problem, Bernoulli numbers 
@article{10_37236_1592,
     author = {Matthias Beck and Ira M. Gessel and Takao Komatsu},
     title = {The polynomial part of a restricted partition function related to the {Frobenius} problem},
     journal = {The electronic journal of combinatorics},
     year = {2001},
     volume = {8},
     number = {1},
     doi = {10.37236/1592},
     zbl = {0982.05010},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1592/}
}
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Matthias Beck; Ira M. Gessel; Takao Komatsu. The polynomial part of a restricted partition function related to the Frobenius problem. The electronic journal of combinatorics, Tome 8 (2001) no. 1. doi: 10.37236/1592

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