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arXiv · 2407.12596

Frieze patterns over finite commutative local rings

Bernhard Böhmler·Michael Cuntz
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Abstract

We count numbers of tame frieze patterns with entries in a finite commutative local ring. For the ring $\mathbb{Z}/p^r\mathbb{Z}$, $p$ a prime and $r\in\mathbb{N}$ 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.

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Bernhard Böhmler, Michael Cuntz. 2024-11-05. Frieze patterns over finite commutative local rings. https://arxiv.org/abs/2407.12596

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