On a special case of Hilbert's irreducibility theorem

DOI10.1006/jnth.1999.2476zbMath0985.12001OpenAlexW2002406301MaRDI QIDQ1587661

Marius Cavachi

Publication date: 24 January 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c4f107e46e868a910f17417cd023c21860827c5c

zbMATH Keywords

Hilbert's irreducibility theorem

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items (14)

Finiteness results for Hilbert's irreducibility theorem ⋮ Irreducibility results for compositions of polynomials with integer coefficients ⋮ Irreducibility criteria for the sum of two relatively prime multivariate polynomials ⋮ A Capelli type theorem for multiplicative convolutions of polynomials ⋮ Irreducibility of a polynomial shifted by a power of another polynomial ⋮ Unnamed Item ⋮ An irreducibility criterion for the sum of two relatively prime polynomials ⋮ Irreducibility criteria for compositions of polynomials with integer coefficients ⋮ Irreducibility results for compositions of polynomials in several variables ⋮ Additive Hilbert's theorem 90 in the ring of algebraic integers ⋮ On the number of factors of convolutions of polynomials with integer coefficients ⋮ Unnamed Item ⋮ Apollonius circles and irreducibility criteria for polynomials ⋮ IRREDUCIBILITY CRITERIA FOR SUMS OF TWO RELATIVELY PRIME POLYNOMIALS

Cites Work

• On Hilbert's irreducibility theorem
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