10 citations · 21 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
Polyhedral Omega: A New Algorithm for Solving Linear Diophantine Systems
Felix Breuer, Zafeirakis Zafeirakopoulos
Polyhedral Omega is a new algorithm for solving linear Diophantine systems (LDS), i.e., for computing a multivariate rational function representation of the set of all non-negative…
s-Lecture Hall Partitions, Self-Reciprocal Polynomials, and Gorenstein Cones
Matthias Beck, Benjamin Braun, Matthias Köppe +2
In 1997, Bousquet-Melou and Eriksson initiated the study of lecture hall partitions, a fascinating family of partitions that yield a finite version of Euler's celebrated odd/distin…