Two Diophantine approaches to the irreducibility of certain trinomials

DOI10.4064/aa128-2-5zbMath1217.11092OpenAlexW2000572430MaRDI QIDQ5293287

Pantelimon Stănică, Michael Filaseta, Robert G. Underwood, Florian Luca

Publication date: 29 June 2007

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa128-2-5

zbMATH Keywords

Lehmer pairirreducible polynomialtrinomialhigher degree Diophantine equationLucas pair

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Higher degree equations; Fermat's equation (11D41) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (3)

Unnamed Item ⋮ On the Diophantine equation \(\frac{ax^{n+2l}+c}{abt^2x^n+c}=by^2\) ⋮ On trinomials having irreducible quadratic factors

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