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Diophantine \(m\)-tuples for linear polynomials

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Publication:1773869
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DOI10.1023/A:1022389711839zbMath1059.11027OpenAlexW1732068728MaRDI QIDQ1773869

Robert F. Tichy, Clemens Fuchs, Andrej Dujella

Publication date: 28 April 2005

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

Full work available at URL: https://doi.org/10.1023/a:1022389711839


zbMATH Keywords

function fieldsDiophantine \(m\)-tupleshyperelliptic equationsMason's inequality


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09)


Related Items (10)

Divisibility by 2 on quartic models of elliptic curves and rational Diophantine \(D(q)\)-quintuples ⋮ A polynomial variant of diophantine triples in linear recurrences ⋮ A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS FOR PURE POWERS ⋮ Complete solution of the polynomial version of a problem of Diophantus ⋮ Diophantine \(m\)-tuples for linear polynomials. II: Equal degrees ⋮ On a problem of Diophantus with polynomials ⋮ ON THE SIZE OF SETS IN A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS ⋮ Diophantine quadruples in \(\mathbb{Z}[i[X]\)] ⋮ Unnamed Item ⋮ On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\)




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