On the greatest prime factor and divisibility properties of linear recursive sequences

DOI10.1016/0019-3577(90)90035-LzbMath0704.11008OpenAlexW1975394101MaRDI QIDQ916688

Attila Pethoe

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0019-3577(90)90035-l

zbMATH Keywords

linear recurrencealgebraic number fieldeffective lower bounds

Mathematics Subject Classification ID

Recurrences (11B37) Exponential Diophantine equations (11D61)

Related Items (4)

On binary recurrence sequences ⋮ Common factors of shifted Fibonacci numbers ⋮ Common values of a class of linear recurrences ⋮ Divisibility properties of binary recurrent sequences

Cites Work

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• Zur Transzendenz gewisser Reihen. (On the transcendence of certain series)
• On divisors of terms of linear recurrence sequences.
• Subsequences of binary recursive sequences
• Linear forms in members of a binary recursive sequence
• On polynomials with integer coefficients and given discriminant. V 175-1175-1175-1generalizations
• On two theorems of Gelfond and some of their applications

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