On the irrationality measure of the Thue–Morse constant-Reference-Cited by-同舟云学术

On the irrationality measure of the Thue–Morse constant

Published:2018-03-27 Issue:3 Volume:168 Page:455-472
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

BADZIAHIN DZMITRY,ZORIN EVGENIY

Abstract

AbstractWe 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].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference23 articles.

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3. van der Poorten, A. J. . Formal power series and their continued fraction expansion. Algorithmic Number Theory. Lecture notes in Computer Science. 1423, (Springer, Berlin, 1998), pp 358–371.

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