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math.CO2005
An explicit formulation for two dimensional vector partition functions
Zhiqiang Xu
Based on discrete truncated powers, the beautiful Popoviciu's formulation for restricted integer partition function is generalized. An explicit formulation for two dimensional mult…
math.CO2005
Application of multivariate splines to discrete mathematics
Zhiqiang Xu
Using methods developed in multivariate splines, we present an explicit formula for discrete truncated powers, which are defined as the number of non-negative integer solutions of…