TY - JOUR

T1 - Frieze patterns over algebraic numbers

AU - Cuntz, Michael

AU - Holm, Thorsten

AU - Pagano, Carlo

N1 - Funding Information: While completing this work, the third author has been supported by a Riemann fellowship at Hannover University, to whom goes his gratitude for the financial support and the great hospitality.

PY - 2024/4/2

Y1 - 2024/4/2

N2 - 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

AB - 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

UR - http://www.scopus.com/inward/record.url?scp=85185666338&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2306.12148

DO - 10.48550/arXiv.2306.12148

M3 - Article

VL - 56

SP - 1417

EP - 1432

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 4

ER -