Diophantine Equations for Second-Order Recursive Sequences of Polynomials

DOI10.1093/qjmath/52.2.161zbMath0997.11026OpenAlexW1975712443MaRDI QIDQ2730923

Robert F. Tichy, Andrej Dujella

Publication date: 29 July 2001

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c88d6e9b65893f2a095a80de57d1a177dbe29368

zbMATH Keywords

recursive sequenceDickson polynomialgeneralized Fibonacci polynomialshigher-order Diophantine equation

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Higher degree equations; Fermat's equation (11D41) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (12)

Polynomial values of sums of hyperbolic binomial coefficients ⋮ Decomposable polynomials in second order linear recurrence sequences ⋮ Diophantine equations with truncated binomial polynomials ⋮ Diophantine equations for classical continuous orthogonal polynomials ⋮ Diophantine equations in separated variables ⋮ Decomposition of a recursive family of polynomials ⋮ Decomposition of perturbed Chebyshev polynomials ⋮ On the decomposability of linear combinations of Bernoulli polynomials ⋮ Complete decomposition of Dickson-type polynomials and related Diophantine equations ⋮ Diophantine equations for Morgan-Voyce and other modified orthogonal polynomials ⋮ Diophantine equations in separated variables and polynomial power sums ⋮ Diophantine equations between polynomials obeying second order recurrences

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