19 citations
- Aarhus UniversityDK1 paper
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- Tokyo Institute of TechnologyJP1 paper
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math.CO2003★ 1 cited
The polynomial part of a restricted partition function related to the Frobenius problem
Matthias Beck, Ira M. Gessel, Takao Komatsu
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 f…
math.CO2003★ 8 cited
Counting Lattice Points by means of the Residue Theorem
Matthias Beck
We use the residue theorem to derive an expression for the number of lattice oints in a dilated n-dimensional tetrahedron with vertices at lattice points on each coordinate axis an…