Adamczewski Boris & Yann Bugeaud
A short proof of the transcendence of the Thue-Morse continued fractions
Let $a$ and $b$ two disctinct positive integers and let $(u_n)_{n\geq0}$
be the Thue-Morse sequence on the alphabet $\{a,b\}$.
In 1998, M. Queffélec proved that the real number $\xi:=[0;u_0,u_1,u_2,...]$
is transcendental. The aim of this Note is to provide a new and shorter
proof of M. Queffélec's result.
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