On polynomials with integer coefficients and given discriminant. V 175-1175-1175-1generalizations

DOI10.1007/BF01902212zbMath0402.10053OpenAlexW2137368361MaRDI QIDQ4186438

Kálmán Győry

Publication date: 1978

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01902212

zbMATH Keywords

polynomialsprime idealsdiscriminantalgebraic number field

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09) Polynomials (11S05)

Related Items (8)

Integral elements with given discriminant over function fields ⋮ Effective Results for Discriminant Equations over Finitely Generated Integral Domains ⋮ The scheme of monogenic generators. I: Representability ⋮ On the greatest prime factor and divisibility properties of linear recursive sequences ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the distribution of polynomial discriminants: totally real case ⋮ On the irreducibility of a class of polynomials. III

Cites Work

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• Algebraic integers with discriminants containing fixed prime divisors
• Some effective cases of the Brauer-Siegel theorem
• The \({\mathfrak p}\)-adic generalisation of the Thue-Siegel theorem
• Effective estimates of solutions of some diophantine equations
• Уравнение Туэ-Малера в относительных полях
• Multiplicative relations in number fields
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
• Finiteness Theorems for Binary Forms with Given Discriminant

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