Linear equations over multiplicative groups, recurrences, and mixing. II

DOI10.1016/j.indag.2014.08.002zbMath1314.11070OpenAlexW2079578348MaRDI QIDQ475577

H. G. J. Derksen, David W. Masser

Publication date: 27 November 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2014.08.002

zbMATH Keywords

mixingrecurrence sequencesSkolem-Mahler-Lech theoremalgebraical dynamical systems

Mathematics Subject Classification ID

Undecidability and degrees of sets of sentences (03D35) Recurrences (11B37) Linear Diophantine equations (11D04) Polynomials (11S05)

Related Items (6)

The orbit intersection problem in positive characteristic ⋮ Topological rigidity of linear cellular automaton shifts ⋮ Linear equations over multiplicative groups in positive characteristic. II. ⋮ Linear equations over multiplicative groups, recurrences, and mixing III ⋮ Mahler's work and algebraic dynamical systems ⋮ Automatic Sequences and Generalised Polynomials

Cites Work

• Suites récurrentes linéaires. Propriétés algébriques et arithmétiques. (Linear recurrent sequences. Algebraic and arithmetic properties)
• On vanishing coefficients of algebraic power series over fields of positive characteristic
• Small points on subvarieties of a torus
• Équations exponentielles-polynômes et suites récurrentes linéaires. II. (Exponential polynomial equations and linear recurrence sequences. II)
• Linear equations in variables which lie in a multiplicative group
• Mixing and linear equations over groups in positive characteristic
• A Skolem-Mahler-Lech theorem in positive characteristic and finite automata
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Linear equations over multiplicative groups in positive characteristic
• Linear equations over multiplicative groups, recurrences, and mixing I
• Equations au l n = bu k m Satisfied by Members of Recurrence Sequences
• The Set of Solutions of Some Equation for Linear Recurrence Sequences
• Universal diophantine equation
• Linear equations over multiplicative groups, recurrences, and mixing III
• The intersection of recurrence sequences
• Ledrappier’s system is almost mixing of all orders
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