Irreducible λ-quiddities over polynomial rings have bounded maximal size with explicit results listed, and the maximal size is completely determined for formal power series rings.
Morier-Genoud,Counting Coxeter’s friezes over a finite field via moduli spaces, Algebraic combinatoric, Vol
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Maximal size of irreducible $\lambda$-quiddities over polynomial and formal power series rings
Irreducible λ-quiddities over polynomial rings have bounded maximal size with explicit results listed, and the maximal size is completely determined for formal power series rings.