Matthias Beck

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20012026

most citedMaximal Periods of (Ehrhart) Quasi-Polynomials

29 citations · 53 across the 20 of their papers we have counts for

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Showing 2002 · math.NTShow all

3 papers · 2 filters

math.NT2002

An extension of the Frobenius coin-exchange problem

Matthias Beck, Sinai Robins

Given positive integers $a_{1}, ..., a_{n}$ with $g cd (a_{1}, ..., a_{n}) = 1$ , we call an integer t representable if there exist nonnegative integers $m_{1}, ..., m_{n}$ such that $t = m_1 a_1 + ..…

math.NT2002

Some experimental results on the Frobenius problem

Matthias Beck, David Einstein, Shelemyahu Zacks

We study the Frobenius problem: given relatively prime positive integers $a_{1}, ..., a_{d}$ , find the largest value of t (the Frobenius number) such that $\sum_{k = 1}^{d} m_{k} a_{k} = t$ has…

math.NT2002

The Frobenius problem, rational polytopes, and Fourier-Dedekind Sums

Matthias Beck, Ricardo Diaz, Sinai Robins

We study the number of lattice points in integer dilates of the rational polytope $P = (x_{1}, ..., x_{n}) \in R_{\geq 0}^{n} : \sum_{k = 1}^{n} x_{k} a_{k} \leq 1$ , where $a_{1}, ..., a_{n}$ are posit…