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Continued Fractions of Quadratic Numbers

Combinatorics 2023-08-17 v1

Abstract

In this paper, we will first summarize known results concerning continued fractions. Then we will limit our consideration to continued fractions of quadratic numbers. The second author described periods and sometimes precise form of continued fractions of N\sqrt{N}, where NN is a natural number. In cases where we were able to find such results in literature, we recall the original authors, however many results seem to be new.

Keywords

Cite

@article{arxiv.1302.0521,
  title  = {Continued Fractions of Quadratic Numbers},
  author = {Lubomíra Balková and Aranka Hrušková},
  journal= {arXiv preprint arXiv:1302.0521},
  year   = {2023}
}

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13 pages