On the number of polynomials and integral elements of given discriminant

DOI10.1007/BF01903342zbMath0653.13005OpenAlexW2118715122MaRDI QIDQ1107580

Jan-Hendrik Evertse, Kálmán Győry

Publication date: 1988

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903342

zbMATH Keywords

integral extension ringpolynomials with given discriminant

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Integral domains (13G05) Diophantine equations (11D99)

Related Items

Integral elements with given discriminant over function fields

Cites Work

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• On equations in S-units and the Thue-Mahler equation
• Effective finiteness theorems for polynomials with given discriminant and integral elements with given discriminant over finitely domains.
• On equations in two S-units over function fields of characteristic 0
• On discriminants and indices of integers of an algebraic number field.