Generalized Fibonacci and Lucas numbers of the form 5x2

DOI10.1142/S1793042115500517zbMath1379.11015arXiv1206.4174OpenAlexW2058099533WikidataQ114072031 ScholiaQ114072031MaRDI QIDQ5248585

Olcay Karaatlı, Refik Keskin

Publication date: 8 May 2015

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

Full work available at URL: https://arxiv.org/abs/1206.4174

zbMATH Keywords

congruencesgeneralized Fibonacci numbersgeneralized Lucas numbers

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

On the Diophantine equation \(dx^2+p^{2a}q^{2b}=4y^p\) ⋮ On the {L}ucas sequence equations {\(V_n(P,1)=wkx^2\)}, {\(w\in\{5,7\}\)} ⋮ On the Lucas sequence equations \(V_n=7\,\square \) and \(V_n=7V_m\,\square \) ⋮ Generalized Fibonacci numbers of the form \(wx^2 + 1\) ⋮ On the Diophantine equation \(cx^2+p^{2m}=4y^n\) ⋮ The terms of the form $7kx^{2}$ in the generalized Lucas sequence with parameters $P$ and $Q$

Cites Work

• On squares in Lucas sequences
• The Magma algebra system. I: The user language
• Squares in Lucas sequences and some diophantine equations
• Lucas sequences whose 12th or 9th term is a square
• The square terms in Lucas sequences
• Squares in some recurrent sequences
• THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCES
• Lucas sequences whose nth term is a square or an almost square
• Lucas and fibonacci numbers and some diophantine Equations
• On Square Fibonacci Numbers
• Eight Diophantine Equations
• Five Diophantine Equations.

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