Sur les polynômes à coefficients entiérs et de discriminant donné

DOI10.4064/aa-23-4-419-426zbMath0269.12001OpenAlexW764574657MaRDI QIDQ5686113

Kálmán Győry

Publication date: 1973

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

Full work available at URL: https://eudml.org/doc/205206

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (15)

On cubic polynomials with a given discriminant ⋮ A family of monogenic \(S_4\) quartic fields arising from elliptic curves ⋮ Integral-valued polynomials over sets of algebraic integers of bounded degree ⋮ Effective Results for Discriminant Equations over Finitely Generated Integral Domains ⋮ Orders with few rational monogenizations ⋮ The scheme of monogenic generators. I: Representability ⋮ Computing all power integral bases in orders of totally real cyclic sextic number fields ⋮ Representation of unity by binary forms ⋮ Unnamed Item ⋮ A characterization of homeomorphic Bernoulli trial measures ⋮ Unnamed Item ⋮ Algebraic integers with discriminants containing fixed prime divisors ⋮ On the distribution of polynomial discriminants: totally real case ⋮ Dedekind's criterion for the monogenicity of a number field versus Uchida's and Lüneburg's ⋮ Quartic polynomials with a given discriminant

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