Irreducibility of a polynomial shifted by a power of another polynomial

DOI10.1155/2020/8869499zbMath1465.11080OpenAlexW3108603150MaRDI QIDQ2225580

Arturas Dubickas

Publication date: 8 February 2021

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

Full work available at URL: https://doi.org/10.1155/2020/8869499

zbMATH Keywords

irreducible polynomialsHilbert theoremCapelli theorem

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09)

Cites Work

• On a special case of Hilbert's irreducibility theorem
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• A Cesàro average of generalised Hardy-Littlewood numbers
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• On Polynomial Rings with a Goldbach Property
• On Goldbach's Conjecture for Integer Polynomials
• A complete solution to the polynomial 3-primes problem
• Reducibility of polynomials after a polynomial substitution
• An asymptotic formula for Goldbach’s conjecture with monic polynomials in \(\mathbb {Z}[\theta [x]\)]
• Polynomials of certain special types
• A Goldbach Theorem for Polynomials with Integral Coefficients
• The expression of a polynomial as a sum of three irreducibles
• Die Seltenheit der reduziblen Gleichungen und der Gleichungen mit Affekt
• The exceptional set for the sum of a prime and a square
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