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math.CO2023
Algebraic Volume for Polytope Arise from Ehrhart Theory
Guoce Xin, Xinyu Xu, Yingrui Zhang +1
Volume computation for -polytopes is fundamental in mathematics. There are known volume computation algorithms, mostly based on triangulation or signed-decompositi…
math.CO2023
A polynomial time algorithm for calculating Fourier-Dedekind sums
Guoce Xin, Xinyu Xu
We solve an open problem proposed in the book ``Computing the continuous discretely" written by Matthias Beck and Sinai Robins. That is, we proposed a polynomial time algorithm for…