Galois groups and automata
Number Theory
2017-05-17 v1
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.
Cite
@article{arxiv.1502.00942,
title = {Galois groups and automata},
author = {Patrice Philippon},
journal= {arXiv preprint arXiv:1502.00942},
year = {2017}
}
Comments
in French