42 citations · 160 across the 21 of their papers we have counts for
23 papers
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…
Simplicity of the automorphism group of fields with operators
Thomas Blossier, Zoé Chatzidakis, Charlotte Hardouin +1
We adapt a proof of Lascar in order to show the simplicity of the group of automorphisms fixing pointwise all non-generic elements for a class of uncountable models of suitable the…
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…
On Differentially Algebraic Generating Series for Walks in the Quarter Plane
Charlotte Hardouin, Michael F Singer
We refine necessary and sufficient conditions for the generating series of a weighted model of a quarter plane walk to be differentially algebraic. In addition, we give algorithms…
On the Kernel curves associated with walks in the quarter plane
Thomas Dreyfus, Charlotte Hardouin, Julien Roques +1
The kernel method is an essential tool for the study of generating series of walks in the quarter plane. This method involves equating to zero a certain polynomial, the kernel poly…
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…