On Rational Approximation of the Binary Thue-Morse-Mahler Number
Université de Strasbourg
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We investigate the rational approximation of the binary
Thue-Morse-Mahler number. We prove that its continued fraction
expansion has infinitely many partial quotients equal to 4 or 5 and
infinitely many partial quotients greater than or equal to 50.
Full version: pdf,
(Concerned with sequences
Received April 20 2012;
revised version received June 6 2012.
Published in Journal of Integer Sequences, March 2 2013.
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