On Pell, Pell-Lucas, and balancing numbers

DOI10.1186/s13660-017-1599-1zbMath1436.11018OpenAlexW2782481291WikidataQ47556791 ScholiaQ47556791MaRDI QIDQ1688524

Gül Karadeniz Gözeri

Publication date: 8 January 2018

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1599-1

zbMATH Keywords

Pell equationsPell numbersPell-Lucas numbersbalancing numbersdivisibility propertiesperfect squares

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Solving the Pell equation
• The Diophantine equation \(8x^2-y^2+8x(1+t)+(2t+1)^2=0\) and \(t\)-balancing numbers
• Some properties of sums involving Pell numbers
• Fibonacci numbers and sets with the property \(D(4)\)
• Cobalancing numbers and cobalancers
• My Numbers, My Friends
• The House Problem
• Pell's equation
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