42 citations · 260 across the 31 of their papers we have counts for
3 papers · 1 filter
Hypertranscendence and linear difference equations
Boris Adamczewski, Thomas Dreyfus, Charlotte Hardouin
After Hölder proved his classical theorem about the Gamma function, there has been a whole bunch of results showing that solutions to linear difference equations tend to be hypertr…
Computing the Lie algebra of the differential Galois group: the reducible case
Thomas Dreyfus, Jacques-Arthur Weil
In this paper, we explain how to compute the Lie algebra of the differential Galois group of a reducible linear differential system. We achieve this by showing how to transform a b…
Length derivative of the generating series of walks confined in the quarter plane
Thomas Dreyfus, Charlotte Hardouin
In the present paper, we use difference Galois theory to study the nature of the generating function counting walks with small steps in the quarter plane. These series are trivaria…