42 citations · 160 across the 21 of their papers we have counts for
5 papers · 1 filter
Hypertranscendence and -difference equations over elliptic functionfields
Ehud de Shalit, Charlotte Hardouin, Julien Roques
The differential nature of solutions of linear difference equations over the projective line was recently elucidated. In contrast, little is known about the differential nature of…
Algebraic independence and linear difference equations
Boris Adamczewski, Thomas Dreyfus, Charlotte Hardouin +1
We consider pairs of automorphisms acting on fields of Laurent or Puiseux series: pairs of shift operators , of -differ…
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…
Functional relations of solutions of q-difference equations
Thomas Dreyfus, Charlotte Hardouin, Julien Roques
In this paper, we study the algebraic relations satisfied by the solutions of -difference equations and their transforms with respect to an auxiliary operator. Our main tool is…
Computation of the Galois groups occuring in M. Papanikolas's study of Carlitz logarithms
Charlotte Hardouin
In this note, we state a theorem of compution of the unipotent radical of the Galois group of an object of a tannakian category defined over a field of positive characteristic,…