Palindromes and periodic continued fractions

2016/05/30 by German, Oleg N., Tlyustangelov, Ibragim A. · 2 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1605.09428

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.

Cited by

• On the weak uniform Diophantine exponent of a real number
• On uniform Diophantine exponents of lattices

Related

• Symmetries of quadratic forms classes and of quadratic surds continued fractions. Part II: Classification of the periods' palindromes
• Multiples of long period small element continued fractions to short period large elements continued fractions
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• Quadratic irrational integers with partly prescribed continued fraction expansion
• On the Structure of the Period of the continued fraction for √(d)