math.NT

(what is this?)

# Title: The density of visible points in the Ammann-Beenker point set

Abstract: The relative density of visible points of the integer lattice $\mathbb{Z}^d$ is known to be $1/\zeta(d)$ for $d\geq 2$, where $\zeta$ is Riemann's zeta function. In this paper we prove that the relative density of visible points in the Ammann-Beenker point set is given by $2(\sqrt{2}-1)/\zeta_K(2)$, where $\zeta_K$ is Dedekind's zeta function over $K=\mathbb{Q}(\sqrt{2})$.
 Subjects: Number Theory (math.NT) Cite as: arXiv:1803.06481 [math.NT] (or arXiv:1803.06481v1 [math.NT] for this version)

## Submission history

From: Gustav Hammarhjelm [view email]
[v1] Sat, 17 Mar 2018 08:53:06 GMT (10kb)