## Abstract

We provide a non-trivial measure of irrationality for a class of Mahler

numbers defined with infinite products which cover the Thue-Morse constant.

numbers defined with infinite products which cover the Thue-Morse constant.

Original language | English |
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Pages (from-to) | 1-18 |

Number of pages | 18 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Early online date | 27 Mar 2018 |

Publication status | E-pub ahead of print - 27 Mar 2018 |

### Bibliographical note

© Cambridge Philosophical Society 2018. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.## Keywords

- Thue-Morse constant
- Irrationality measure
- Infinite product
- Mahler's method