scientific article; zbMATH DE number 7282734

zbMath1471.11121MaRDI QIDQ5139179

A. M. S. Ramasamy

Publication date: 7 December 2020

Full work available at URL: http://rsmams.org/journals/articleinfo.php?articleid=378&tag=jrsmams

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zbMATH Keywords

Pell equationRamanujan number\(P_{r,k}\) sequenceextendable setproperty \(p_k\)quadruple with Diophantine property

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Recurrences (11B37) Special sequences and polynomials (11B83)

Cites Work

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• The simultaneous diophantine equations \(5Y^ 2-20=X^ 2\) and \(2Y^ 2+1=Z^ 2\)
• A polynomial variant of a problem of Diophantus and Euler
• Diophantine \(m\)-tuples for linear polynomials
• A nonextendable Diophantine quadruple arising from a triple of Lucas numbers
• Fibonacci numbers and sets with the property \(D(4)\)
• Diophantine quadruples and near-Diophantine quintuples from P3,K sequences
• THE SIMULTANEOUS DIOPHANTINE EQUATIONS y²−3x²=−2 and z²−8x²=−7
• A VARIATION ON A PROBLEM OF DAVENPORT AND DIOPHANTUS
• Diophantine quadruples of numbers whose elements are in proportion
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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