-Galois Theory of Linear Difference Equations

DOI10.1093/imrn/rnu060zbMath1388.12011arXiv1304.2649OpenAlexW3123447504MaRDI QIDQ5500422

Alexey Ovchinnikov, Michael Wibmer

Publication date: 6 August 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.2649

zbMATH Keywords

difference Galois theoryhypertranscendency

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Difference algebra (12H10) Galois theory and commutative ring extensions (13B05) Linear difference equations (39A06) Difference equations in the complex domain (39A45)

Related Items (14)

Difference modules and difference cohomology ⋮ Torsors for difference algebraic groups ⋮ On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters ⋮ Strongly étale difference algebras and Babbitt's decomposition ⋮ Difference Galois theory for the ``applied mathematician ⋮ Galois groups of linear difference-differential equations ⋮ Difference Galois groups under specialization ⋮ Almost-simple affine difference algebraic groups ⋮ Algebraic groups as difference Galois groups of linear differential equations ⋮ Galois groups for integrable and projectively integrable linear difference equations ⋮ A general theory of André's solution algebras ⋮ Functional relations for solutions of \(q\)-difference equations ⋮ Consistent systems of linear differential and difference equations ⋮ Hypertranscendence and linear difference equations

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