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arXiv · 1507.02510

Algebraic independence of certain Mahler numbers

Keijo Väänänen
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Abstract

In this note we prove algebraic independence results for the values of a special class of Mahler functions. In particular, the generating functions of Thue-Morse, regular paperfolding and Cantor sequences belong to this class, and we obtain the algebraic independence of the values of these functions at every non-zero algebraic point in the open unit disk. The proof uses results on Mahler's method.

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Keijo Väänänen. 2015-07-09. Algebraic independence of certain Mahler numbers. https://arxiv.org/abs/1507.02510

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