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arXiv · 1302.1900

Generalized Thue-Morse Continued Fractions

Gerardo González Robert
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Abstract

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\'elec's 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.

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Gerardo González Robert. 2013-02-07. Generalized Thue-Morse Continued Fractions. https://arxiv.org/abs/1302.1900

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