Linear forms in Lucas numbers

DOI10.1016/0019-3577(93)90008-MzbMath0794.11011MaRDI QIDQ1315101

Thomas Töpfer

Publication date: 8 September 1994

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

zbMATH Keywords

linear forms in logarithmsmultiplicitiesLucas sequencebinary integer recurrence sequenceconjecture of Beukers

Mathematics Subject Classification ID

Recurrences (11B37) Algebraic independence; Gel'fond's method (11J85) Exponential Diophantine equations (11D61)

Cites Work

• Equations in prime powers
• Binary Lucas and Fibonacci Polynomials, I
• Subsequences of binary recursive sequences
• On Lucas and Lehmer sequences and their applications to Diophantine equations
• Linear forms in members of a binary recursive sequence
• On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.
• On the growth of recurrence sequences
• On a conjecture of Morgan Ward, I
• On a conjecture of Morgan Ward, II
• On a conjecture of Morgan Ward, III
• On common terms of linear recurrences
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
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