Descent for differential Galois theory of difference equations: confluence and \(q\)-dependence

DOI10.2140/pjm.2012.256.79zbMath1258.12004arXiv1103.5067OpenAlexW2045217524MaRDI QIDQ433534

Lucia Di Vizio, Charlotte Hardouin

Publication date: 5 July 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5067

zbMATH Keywords

Galois theorylinear difference equationshypertranscendence

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Difference algebra (12H10)

Related Items (13)

Hiroshi Umemura and French mathematics ⋮ Parameterized Picard-Vessiot extensions and Atiyah extensions ⋮ Intrinsic Approach to Galois Theory of 𝑞-Difference Equations ⋮ Difference integrability conditions for parameterized linear difference and differential equations ⋮ Existence of \(\partial\)-parameterized Picard-Vessiot extensions over fields with algebraically closed constants ⋮ On complex singularity analysis for linear partial \(q\)-difference-differential equations using nonlinear differential equations ⋮ DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS ⋮ Isomonodromic differential equations and differential categories ⋮ On the existence of telescopers for mixed hypergeometric terms ⋮ Galois groups for integrable and projectively integrable linear difference equations ⋮ Galois theories of \(q\)-difference equations: comparison theorems ⋮ Confluence of meromorphic solutions of \(q\)-difference equations ⋮ Solutions of a class of multiplicatively advanced differential equations. II: Fourier transforms

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