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 Generalized Thue-Morse Continued Fractions


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The Thue-Morse sequence is generalized to the $TM m$ sequences and two equivalent definitions are given. This generalization leads to transcendental numbers and has Queff\elecs 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.



Author: Gerardo González Robert

Source: https://archive.org/







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