Frieze patterns over algebraic numbers

verfasst von

Michael Cuntz, Thorsten Holm, Carlo Pagano

Abstract

Conway and Coxeter have shown that frieze patterns over positive rational integers are in bijection with triangulations of polygons. An investigation of frieze patterns over other subsets of the complex numbers has recently been initiated by Jorgensen and the first two authors. In this paper we first show that a ring of algebraic numbers has finitely many units if and only if it is an order in a quadratic number field Q(\sqrt{d}) where d

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Externe Organisation(en)

Concordia University

Typ

Artikel

Journal

Bulletin of the London Mathematical Society

Band

56

Seiten

1417-1432

Anzahl der Seiten

16

ISSN

0024-6093

Publikationsdatum

02.04.2024

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2306.12148 (Zugang: Offen)
https://doi.org/10.1112/blms.13003 (Zugang: Offen)