Prime and coprime values of polynomials

DOI10.4171/LEM/66-1/2-9zbMath1470.11044arXiv2002.02292MaRDI QIDQ2032793

Salah Najib, Arnaud Bodin, Pierre Dèbes

Publication date: 14 June 2021

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02292

zbMATH Keywords

primesGCDirreducible polynomialsSchinzel hypothesis

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Primes (11A41)

Related Items (4)

The Hilbert-Schinzel specialization property ⋮ Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ Zero-free angular sectors and lens-shaped regions for polynomials, with applications to irreducibility ⋮ Apollonius circles and irreducibility criteria for polynomials

Cites Work

• Factorization of polynomials over finite fields
• A property of polynomials with an application to Siegel's lemma
• The Factorial Function and Generalizations
• Sur certaines hypothèses concernant les nombres premiers
• Prime Numbers and Irreducible Polynomials
• On the Greatest Common Divisor of the Value of Two Polynomials
• The Schinzel hypothesis for polynomials
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