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Multiplicities of algebraic linear recurrences

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Publication:1309357
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DOI10.1007/BF02392784zbMath0789.11012OpenAlexW2038992178MaRDI QIDQ1309357

Hans Peter Schlickewei

Publication date: 10 February 1994

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392784


zbMATH Keywords

multiplicityupper bound\(S\)-unit equationsalgebraic linear recurrencesnonperiodic, nondegenerate sequencequantitative \(p\)-adic subspace theorem


Mathematics Subject Classification ID

Recurrences (11B37) Algebraic numbers; rings of algebraic integers (11R04) Diophantine approximation, transcendental number theory (11J99)


Related Items

A remarkable family of linear recurrent sequences ⋮ Multiplicities of recurrence sequences ⋮ The zero multiplicity of linear recurrence sequences ⋮ On polynomial-exponential equations



Cites Work

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  • S-unit equations over number fields
  • On S-unit equations in two unknowns
  • Diophantine approximations and diophantine equations
  • An explicit upper bound for the number of solutions of the S-unit equation.
  • The number of subspaces occurring in the p-adic subspace theorem in diophantine approximation.
  • On a question of Lehmer and the number of irreducible factors of a polynomial
  • On a conjecture of Morgan Ward, III
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