42 citations · 160 across the 21 of their papers we have counts for
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math.NT2020★ 4 cited
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…
math.CO2020★ 1 cited
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…
math.CO2020★ 7 cited
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…