Adamczewski Boris & Yann Bugeaud
Palindromic continued fractions
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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