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20112025
most citedOn the nature of the generating series of walks in the quarter plane

42 citations · 260 across the 31 of their papers we have counts for

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math.CV2014★ 8 cited

Galois Groups of Difference Equations of Order Two on Elliptic Curves

Thomas Dreyfus, Julien Roques

This paper is concerned with difference equations on elliptic curves. We establish some general properties of the difference Galois groups of equations of order two, and give appli…

math.CV2014★ 23 cited

Building meromorphic solutions of -difference equations using a Borel-Laplace summation

Thomas Dreyfus

After introducing q-analogues of the Borel and Laplace transformations, we prove that to every formal power series solution of a linear q-difference equation with rational coeffici…