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math.CO2015★ 9 cited
Generating functions and triangulations for lecture hall cones
Matthias Beck, Benjamin Braun, Matthias Köppe +2
We investigate the arithmetic-geometric structure of the lecture hall cone \[ L_n \ := \ \left\{λ\in \mathbb{R}^n: \, 0\leq \frac{λ_1}{1}\leq \frac{λ_2}{2}\leq \frac{λ_3}{3}\leq \c…
math.CO2015
Unimodality Problems in Ehrhart Theory
Benjamin Braun
Ehrhart theory is the study of sequences recording the number of integer points in non-negative integral dilates of rational polytopes. For a given lattice polytope, this sequence…