Extensions of the \(D(\mp k^2)\)-triples \(\{k^2,k^2 \pm 1, 4k^2 \pm 1\}\)

DOI10.1007/s10998-009-9081-6zbMath1199.11073OpenAlexW2116186084MaRDI QIDQ987570

Yasutsugu Fujita

Publication date: 13 August 2010

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-009-9081-6

zbMATH Keywords

simultaneous Diophantine equationsDiophantine tuples

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Approximation to algebraic numbers (11J68)

Related Items (4)

The extensibility of the \(D(\pm k)\)-triple \(\{k\mp 1,k, 4k\mp 1\}\) ⋮ The extension of the \(D(-k^2)\)-pair \(\left\{k^2, k^2+1\right\}\) ⋮ The extension of the \(D(-k)\)-pair \(\{k,k+1\}\) to a quadruple ⋮ On the average number of divisors of reducible quadratic polynomials

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