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math.AC2015★ 21 cited
Hypertranscendence of solutions of Mahler equations
Thomas Dreyfus, Charlotte Hardouin, Julien Roques
The last years have seen a growing interest from mathematicians in Mahler functions. This class of functions includes the generating series of the automatic sequences. The present…
math.AC2015
Real difference Galois theory
Thomas Dreyfus
In this paper, we develop a difference Galois theory in the setting of real fields. After proving the existence and uniqueness of the real Picard-Vessiot extension, we define the r…