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arXiv · 1502.00942

Galois groups and automata

Patrice Philippon
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Abstract

In the frame of Mahler's method for algebraic independence we show that the algebraic relations over Q linking the values of functions solutions of a system of functional equations come from the algebraic relations between the functions themselves, by specialisation. We deduce some results on the linear independence of the q-regular functions.

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Patrice Philippon. 2015-02-03. Galois groups and automata. https://doi.org/10.1112/jlms%2Fjdv056

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