8 citations · 26 across the 28 of their papers we have counts for
4 papers · 1 filter
MacMahon's operator: A computational framework
Feihu Liu, Guoce Xin
MacMahon introduced partition analysis in his book ``Combinatory Analysis'' as a computational technique for solving problems related to systems of linear Diophantine equations and…
The Sign Pattern Problem for Ehrhart Polynomials
Feihu Liu, Sihao Tao, Guoce Xin
We investigate the sign patterns of coefficients in the Ehrhart polynomial of the Cartesian product between the -th pyramid over the Reeve tetrahedron and the hypercube $[0, n]^…
Enumeration of Corona for Lozenge Tilings
Craig Knecht, Feihu Liu, Guoce Xin
Knecht considers the enumeration of coronas. This is a counting problem for two specific types of lozenge tilings. Their exact closed formulas are conjectured in [A380346] and [A38…
An Algorithm for Computing Hankel Determinants up to Order
Feihu Liu, Guoce Xin, Zihao Zhang
Given the rational power series , the Hankel determinant of order is defined as $H_n(h(x)) := \det (h_{i+j})_{1 \leq i,j \le…