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On the irrationality measure of the Thue–Morse constant

Published online by Cambridge University Press:  27 March 2018

DZMITRY BADZIAHIN  and
EVGENIY ZORIN
DZMITRY BADZIAHIN
Affiliation:
School of Mathematics and Statistics F07, Univerity of Sydney, NSW 2006, Australia email: dzmitry.badziahin@sydney.edu.au
EVGENIY ZORIN
Affiliation:
Department of Mathematics, University of York, Heslington, York, YO10 5DD, U.K. email: evgeniy.zorin@york.ac.uk
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Abstract

We provide a non-trivial measure of irrationality for a class of Mahler numbers defined by infinite products. This class includes the Thue–Morse constant. Among other things, our results imply a generalisation to [12].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 168 , Issue 3 , May 2020 , pp. 455 - 472
Copyright
Copyright © Cambridge Philosophical Society 2018

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