Abstract
We consider the two Hecke groups and generated by the transformations and defined by and where with . We give a full characterization of purely periodic Rosen continued fractions over and . Finally, we end by finding a family of examples of purely periodic Rosen expansions of period length two and some related examples.
Citation
Manel Jellali. "PURELY PERIODIC ROSEN CONTINUED FRACTIONS." Rocky Mountain J. Math. 54 (3) 787 - 792, June 2024. https://doi.org/10.1216/rmj.2024.54.787
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