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.
Ovsienko,Partitions of unity inSL(2,Z), negative continued fractions, and dissections of polygons,Research in the Mathematical Sciences, 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.