An explicit formulation for two dimensional vector partition functions
Combinatorics
2007-05-23 v1
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.
Cite
@article{arxiv.math/0511196,
title = {An explicit formulation for two dimensional vector partition functions},
author = {Zhiqiang Xu},
journal= {arXiv preprint arXiv:math/0511196},
year = {2007}
}