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 -