Fields containing values of algebraic functions II (On a conjecture of Schinzel)

DOI10.4064/aa-72-3-201-210zbMath0832.12001OpenAlexW1007345141WikidataQ123295563 ScholiaQ123295563MaRDI QIDQ4855244

Umberto Zannier, Roberto Dvornicich

Publication date: 26 February 1996

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

Full work available at URL: https://eudml.org/doc/206791

zbMATH Keywords

lower boundirreducible polynomialsplitting fieldSchinzel conjecturefields containing algebraic functions

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Polynomials in general fields (irreducibility, etc.) (12E05) Algebraic numbers; rings of algebraic integers (11R04) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items (6)

Diversity in Parametric Families of Number Fields ⋮ Diversity in rationally parameterized number fields ⋮ Number fields in fibers: the geometrically abelian case with rational critical values ⋮ Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves ⋮ The $abc$ Conjecture implies the Weak Diversity Conjecture ⋮ Extensions of the \(p\)-adic fields generated by the roots of a single polynomial in two variables

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