Generalized Thue-Morse Continued Fractions
Number Theory
2013-02-11 v1
Abstract
The Thue-Morse sequence is generalized to the sequences and two equivalent definitions are given. This generalization leads to transcendental numbers and has Queff\'elec's theorem on Thue-Morse continued fractions as a special case. It is also shown that the theorem of Adamczewski and Bugeaud for palindromic continued fractions cannot be applied in this case.
Cite
@article{arxiv.1302.1900,
title = {Generalized Thue-Morse Continued Fractions},
author = {Gerardo González Robert},
journal= {arXiv preprint arXiv:1302.1900},
year = {2013}
}
Comments
9 pages