Palindromic continued fractions

@inproceedings{Boris2005PalindromicCF,
  title={Palindromic continued fractions},
  author={Alexandra Boris and Bodo Yann},
  year={2005}
}
— 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. Résumé. — Dans cet article, nous considérons des nombres réels dont la suite des quotients partiels jouit de… CONTINUE READING
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