English

Palindromes and periodic continued fractions

Number Theory 2016-06-01 v1

Abstract

This paper is devoted to a detailed exposition of geometry of continued fractions. We pay particular interest to the case of quadratic irrationalities and use the technique described to prove a criterion for the continued fraction of a quadratic surd to have a symmetric period.

Keywords

Cite

@article{arxiv.1605.09428,
  title  = {Palindromes and periodic continued fractions},
  author = {Oleg N. German and Ibragim A. Tlyustangelov},
  journal= {arXiv preprint arXiv:1605.09428},
  year   = {2016}
}