Publication details

Frieze patterns over finite commutative local rings

Authored by

Michael Cuntz, Bernhard Karl Böhmler

Abstract

We count numbers of tame frieze patterns with entries in a finite commutative local ring. For the ring Z/p^rZ, p a prime and r in N we obtain closed formulae for all heights. These may be interpreted as formulae for the numbers of certain relations in quotients of the modular group.

Details

Organisation(s)
Institute of Algebra, Number Theory and Discrete Mathematics
Type
Article
Journal
Seminaire Lotharingien de Combinatoire
Volume
91
No. of pages
18
Publication date
08.12.2025
Publication status
E-pub ahead of print
Peer reviewed
Yes
Electronic version(s)
https://arxiv.org/abs/2407.12596 (Access: Open )