Matthias Beck

activity

20012026

most citedMaximal Periods of (Ehrhart) Quasi-Polynomials

29 citations · 154 across the 72 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.CO2016

$h^{*}$ -polynomials of zonotopes

Matthias Beck, Katharina Jochemko, Emily McCullough

The Ehrhart polynomial of a lattice polytope $P$ encodes information about the number of integer lattice points in positive integral dilates of $P$ . The $h^{*}$ -polynomial of $P$ …

math.CO2016

Lonely Runner Polyhedra

Matthias Beck, Serkan Hosten, Matthias Schymura

We study the \emph{Lonely Runner Conjecture}, conceived by Jörg M.~Wills in the 1960's: Given positive integers $n_{1}, n_{2}, \dots, n_{k}$ , there exists a positive real number $t$ such…

math.NT2016

Reciprocity Theorems for Bettin--Conrey Sums

Juan S. Auli, Abdelmejid Bayad, Matthias Beck

Recent work of Bettin and Conrey on the period functions of Eisenstein series naturally gave rise to the Dedekind-like sum \[ c_{a}\left(\frac{h}{k}\right) \ = \ k^{a}\sum_{m=1}^{k…

h∗-polynomials of zonotopes

Lonely Runner Polyhedra

Reciprocity Theorems for Bettin--Conrey Sums

$h^{*}$ -polynomials of zonotopes