Diophantine equations between polynomials obeying second order recurrences

DOI10.1023/B:MAHU.0000010816.85657.40zbMath1072.11023OpenAlexW2131573145MaRDI QIDQ2567397

Peter Kirschenhofer, Oliver Pfeiffer

Publication date: 4 October 2005

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

Full work available at URL: https://doi.org/10.1023/b:mahu.0000010816.85657.40

zbMATH Keywords

Diophantine equationsDickson polynomialspolynomial recurrences

Mathematics Subject Classification ID

[https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Higher degree equations; Fermat's equation (11D41)

Related Items (4)

Decomposable polynomials in second order linear recurrence sequences ⋮ Decomposition of a recursive family of polynomials ⋮ Complete decomposition of Dickson-type polynomials and related Diophantine equations ⋮ Diophantine equations for Morgan-Voyce and other modified orthogonal polynomials

Cites Work

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• Die Charakterisierung der klassischen orthogonalen Polynome durch Sturm- Liouvillesche Differentialgleichungen
• On a class of combinatorial Diophantine equations
• On the Diophantine equation \(G_{n}(x) = G_{m}(P(x))\)
• Diophantine Equations for Second-Order Recursive Sequences of Polynomials
• The Diophantine equation f(x) = g(y)
• EQUATIONS OF THE FORM f(x)=g(y)
• Octahedrons with equally many lattice points

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