Generalized Cullen numbers in linear recurrence sequences

DOI10.1016/j.jnt.2018.11.025zbMath1446.11023arXiv1806.09441OpenAlexW2964287944WikidataQ114157274 ScholiaQ114157274MaRDI QIDQ2420396

Diego Marques, Yuri F. Bilu, Alain S. Togbé

Publication date: 6 June 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.09441

zbMATH Keywords

linear forms in logarithmsDiophantine equationslinear recurrence sequenceCullen numbers

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items

The abc Conjecture Implies That Only Finitely Many s-Cullen Numbers Are Repunits, Cullen numbers in sums of terms of recurrence sequence

Uses Software

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Cites Work

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• On a conjecture about repdigits in k-generalized Fibonacci sequences
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• Pseudoprime Cullen and Woodall numbers
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• A simplified Binet formula for k-generalized Fibonacci numbers
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