Skolem-Mahler-Lech type theorems and Picard-Vessiot theory

DOI10.4171/JEMS/509zbMath1316.39001arXiv1203.1449MaRDI QIDQ2018244

Michael Wibmer

Publication date: 13 April 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1449

zbMATH Keywords

linear difference equationsdynamical Mordell-Lang conjecturePicard-Vessiot theorySkolem-Mahler-Lech theorem

Mathematics Subject Classification ID

Recurrences (11B37) Arithmetic progressions (11B25) Difference algebra (12H10) Linear difference equations (39A06)

Related Items (1)

Galois groups of linear difference-differential equations

Cites Work

• Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
• Galois theory of difference equations
• Linear equations in variables which lie in a multiplicative group
• Difference algebra
• The dynamical Mordell-Lang problem for etale maps
• On the zeros of linear recurrence sequences
• On the set of zero coefficients of a function satisfying a linear differential equation
• On the Definitions of Difference Galois Groups
• A GENERALISED SKOLEM–MAHLER–LECH THEOREM FOR AFFINE VARIETIES
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