Palindromic continued fractions
数论
2012-05-07 v1
摘要
In the present work, we investigate real numbers whose sequence of partial quotients enjoys some combinatorial properties involving the notion of palindrome. We provide three new transendence criteria, that apply to a broad class of continued fraction expansions, including expansions with unbounded partial quotients. Their proofs heavily depend on the Schmidt Subspace Theorem.
引用
@article{arxiv.math/0512014,
title = {Palindromic continued fractions},
author = {Boris Adamczewski and Yann Bugeaud},
journal= {arXiv preprint arXiv:math/0512014},
year = {2012}
}