Fibonacci and Lucas congruences and their applications

DOI10.1007/s10114-011-9744-0zbMath1252.11013OpenAlexW2082985241MaRDI QIDQ546301

Refik Keskin, Bahar Demirtürk Bitim

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9744-0

zbMATH Keywords

congruencesFibonacci numbersLucas numbers

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

Lucas Numbers Which are Products of Two Balancing Numbers ⋮ Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: application to certain types of fourth-order BVPs ⋮ Unnamed Item ⋮ Positive integer solutions of the Diophantine equation \(x^2-L_nxy+(-1)^ny^2=\pm 5^ r\) ⋮ A generalization of generalized Fibonacci and generalized Pell numbers ⋮ On square classes in generalized Lucas sequences

Cites Work

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• Lucas numbers of the form \(px^ 2\), where \(p\) is prime
• Some new Fibonacci and Lucas identities by matrix methods
• On Square Fibonacci Numbers

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