English

Quantizations of Continued Fractions

Number Theory 2022-07-07 v1 Quantum Algebra

Abstract

We introduce a four-parameter deformation of continued fractions, which we call U U -deformation. We study some particular cases and compare them with the q-deformation of continued fractions introduce recently by Morier-Genoud and Ovsienko.

Keywords

Cite

@article{arxiv.2207.02620,
  title  = {Quantizations of Continued Fractions},
  author = {A. Muhammed Uludağ and Esra Ünal Yilmaz},
  journal= {arXiv preprint arXiv:2207.02620},
  year   = {2022}
}
R2 v1 2026-06-24T12:15:48.157Z