2 citations · 2 across the 4 of their papers we have counts for
4 papers
A remark about Mahler's conjecture and the maximum value of box splines
Zhiqiang Xu
In this paper, we recast a special case of Mahler'c conjecture by the maximum value of box splines. This is the case of polytopes with at most facets. An asymptotic formula…
A spline interpretation of Eulerian numbers
Renhong Wang, Yan Xu, Zhiqiang Xu
In this paper, we explore the interrelationship between Eulerian numbers and B splines. Specifically, using B splines, we give the explicit formulas of the refined Eulerian numbers…
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…
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…