Integral elements with given discriminant over function fields

DOI10.1007/BF01952486zbMath0661.12005OpenAlexW2088655214MaRDI QIDQ1112876

István Gaál

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01952486

zbMATH Keywords

integersdiscriminant equationfinite extensions of function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Other number fields (11R21) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• Norm form equations. I
• On the number of polynomials and integral elements of given discriminant
• Effective procedures in field theory
• The hyperelliptic equation over function fields
• Effective finiteness theorems for polynomials with given discriminant and integral elements with given discriminant over finitely domains.
• On discriminants and indices of integers of an algebraic number field.
• On polynomials with integer coefficients and given discriminant. V 175-1175-1175-1generalizations

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