Fibonacci numbers and sets with the property \(D(4)\)
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Publication:2501400
zbMath1168.11008MaRDI QIDQ2501400
Andrej Dujella, A. M. S. Ramasamy
Publication date: 6 September 2006
Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.bbms/1126195344
Quadratic and bilinear Diophantine equations (11D09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Related Items (12)
Extension of a Diophantine triple with the property \(D(4)\) ⋮ The problem of the extension of D(4)-triple {1, b, c} ⋮ The extension of the \(D(-k^2)\)-pair \(\left\{k^2, k^2+1\right\}\) ⋮ On Pell, Pell-Lucas, and balancing numbers ⋮ On the \(D(4)\)-pairs \(\{a, ka\}\) with \(k\in \{2,3,6\}\) ⋮ \(D(4)\)-triples with two largest elements in common ⋮ There does not exist a \(D(4)\)-sextuple ⋮ There are only finitely many \(D(4)\)-quintuples ⋮ Two-parameter families of uniquely extendable Diophantine triples ⋮ On the size of sets in which \(xy + 4\) is always a square ⋮ Nonexistence of \(D(4)\)-quintuples ⋮ Unnamed Item
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