On the divisibility of the rank of appearance of a Lucas sequence

DOI10.1142/S1793042122501093zbMath1501.11030arXiv2008.12506OpenAlexW3081989941WikidataQ114071789 ScholiaQ114071789MaRDI QIDQ5096635

Carlo Sanna

Publication date: 18 August 2022

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

Full work available at URL: https://arxiv.org/abs/2008.12506

zbMATH Keywords

asymptotic formuladivisibilityLucas sequencerank of appearance

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of primes (11N05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

On the greatest common divisor of n and the nth Fibonacci number, II ⋮ On the index of appearance of a Lucas sequence

Cites Work

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• On the prime density of Lucas sequences
• On primes \(p\) for which \(d\) divides \(\text{ord}_p(g)\)
• Errata to: The set of primes dividing the Lucas numbers has density 2/3
• Some effective cases of the Brauer-Siegel theorem
• Divisibility properties of the Fibonacci entry point
• Prime divisors of Lucas sequences
• A refinement of a theorem of Gerst on power residues
• Non-vanishing of \(L\)-functions and applications

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