Trinomials with integral \(S\)-unit coefficients having a quadratic factor

DOI10.1016/j.indag.2017.09.004zbMath1391.11057OpenAlexW2754603465MaRDI QIDQ1678008

István Pink, Volker Ziegler, Attila Bérczes, Florian Luca

Publication date: 14 November 2017

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2017.09.004

zbMATH Keywords

reducibilitytrinomialsquadratic factorDiophantine properties of polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in real and complex fields: factorization (12D05)

Cites Work

• On trinomials having irreducible quadratic factors
• On the factorization of \(X^ n - BX - A\)
• On reducible trinomials. III
• Existence of primitive divisors of Lucas and Lehmer numbers
• On reducible trinomials, IV
• Bounds for the solutions of S-unit equations and decomposable form equations
• The Factorization of x⁵ ± x + n
• On trinominals of type $x^n+Ax^m+1$.
• The Little Book of Bigger Primes
• My Numbers, My Friends
• Effective results for unit equations over finitely generated integral domains
• Effective results for Diophantine equations over finitely generated domains
• On the reducibility of polynomials and in particular of trinomials
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