An explicit formulation for two dimensional vector partition functions

Details An explicit formulation for two dimensional vector partition functions An explicit formulation for two dimensional vector partition functions

2005-11-08

arxiv.org/abs/math/0511196v1

Mathematics

Combinatorics

Scientific paper

Based on discrete truncated powers, the beautiful Popoviciu's formulation for restricted integer partition function is generalized. An explicit formulation for two dimensional multivariate truncated power functions is presented. Therefore, a simplified explicit formulation for two dimensional vector partition functions is given. Moreover, the generalized Frobenius problem is also discussed.

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