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/prZ, 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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Preprint

No. of pages

17

Publication date

17.07.2024

Publication status

E-pub ahead of print

Electronic version(s)

https://arxiv.org/abs/2407.12596 (Access: Open)