Carlos E. Arreche

activity

20122025

most citedGalois groups for integrable and projectively integrable linear difference equations

16 citations · 86 across the 18 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.AC2016★ 16 cited

Galois groups for integrable and projectively integrable linear difference equations

Carlos E. Arreche, Michael F. Singer

We consider first-order linear difference systems over $C (x)$ , with respect to a difference operator $σ$ that is either a shift $σ : x \mapsto x + 1$ , $q$ -dilation $σ:x\mapsto…

math.AC2016★ 8 cited

Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation

Carlos E. Arreche

We apply the difference-differential Galois theory developed by Hardouin and Singer to compute the differential-algebraic relations among the solutions to a second-order homogeneou…