Generalized Thue-Morse Continued Fractions
Abstract
The Thue-Morse sequence is generalized to the TMm 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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