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Palindromic continued fractions

Boris Adamczewski·Yann Bugeaud
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Abstract

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.

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Boris Adamczewski, Yann Bugeaud. 2005-12-01. Palindromic continued fractions. https://arxiv.org/abs/math/0512014

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