3 papers
math.NT2022
On symmetries of 3-dimensional algebraic continued fractions
Ibragim A. Tlyustangelov
In this paper we prove in detail a criterion for an algebraic continued fraction to have a proper palindromic symmetry in dimension . We also present a new proof of the criterio…
math.NT2022
Proper symmetries of 3-dimensional continued fractions
I. A. Tlyustangelov
In this work we prove a criterion for an algebraic continued fraction to have a proper palindromic symmetry in dimension . As a multidimensional generalization of continued frac…
math.NT2016
Palindromes and periodic continued fractions
Oleg N. German, Ibragim A. Tlyustangelov
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 describ…