On the index of appearance of a Lucas sequence

DOI10.1007/s11139-023-00811-4arXiv2212.06127OpenAlexW4390547908MaRDI QIDQ6200994

Carlo Sanna

Publication date: 25 March 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.06127

zbMATH Keywords

asymptotic formulaFibonacci numbersprime numbersLucas sequencerank of appearanceindex 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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotically exact heuristic for (near) primitive roots.
• Near-primitive roots
• On the distribution of the order and index for the reductions of algebraic numbers
• Divisibility properties of the Fibonacci entry point
• Pseudoprimes and a generalization of Artin's conjecture
• My Numbers, My Friends
• On the divisibility of the rank of appearance of a Lucas sequence
• Character sums for primitive root densities
• On Artin's conjecture.
• A refinement of a theorem of Gerst on power residues
• Non-vanishing of \(L\)-functions and applications