An explicit formulation for two dimensional vector partition functions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104832Based 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.CombinatoricsAn explicit formulation for two dimensional vector partition functionstext