42 citations · 160 across the 21 of their papers we have counts for
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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★ 9 cited
Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence
Charlotte Hardouin, Andrei Minchenko, Alexey Ovchinnikov
The main motivation of our work is to create an efficient algorithm that decides hypertranscendence of solutions of linear differential equations, via the parameterized differentia…