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An explicit formulation for two dimensional vector partition functions

Zhiqiang Xu
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Abstract

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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Zhiqiang Xu. 2005-11-08. An explicit formulation for two dimensional vector partition functions. https://arxiv.org/abs/math/0511196

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