A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS FOR PURE POWERS

DOI10.1142/S1793042108001225zbMath1218.11028OpenAlexW1990667482MaRDI QIDQ5386983

Florian Luca, Clemens Fuchs, Andrej Dujella

Publication date: 14 May 2008

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042108001225

zbMATH Keywords

function fieldsRamsey theoryDiophantine m-tuplesMason's inequality

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Polynomials in number theory (11C08) Ramsey theory (05D10)

Related Items (4)

An $abcd$ theorem over function fields and applications ⋮ A polynomial variant of diophantine triples in linear recurrences ⋮ ON THE SIZE OF SETS IN A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS ⋮ Diophantine quadruples in \(\mathbb{Z}[i[X]\)]

Cites Work

• A polynomial variant of a problem of Diophantus and Euler
• Complete solution of the polynomial version of a problem of Diophantus
• Diophantine \(m\)-tuples for linear polynomials
• Diophantine \(m\)-tuples for linear polynomials. II: Equal degrees
• On a problem of Diophantus with polynomials
• Shifted products that are coprime pure powers
• On a problem of Diophantus
• A VARIATION ON A PROBLEM OF DAVENPORT AND DIOPHANTUS
• On a problem of Diophantus for higher powers
• Bounds for the size of sets with the property D(n)
• On shifted products which are powers
• On shifted products which are powers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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