The discriminant problem for Artin-Schreier extensions: explicit results

DOI10.1016/j.ffa.2020.101740zbMath1457.11160OpenAlexW3083361560MaRDI QIDQ1994957

Jeffrey Lin Thunder

Publication date: 18 February 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2020.101740

zbMATH Keywords

global function fielddiscriminant

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20)

Cites Work

• Distribution of Artin-Schreier extensions
• The density of discriminants of quintic rings and fields
• Algebraic function fields and codes
• On sums involving products and quotients of \(L\)-functions over function fields
• Elementary abelian \(p\)-extensions of algebraic function fields
• The density of discriminants of quartic rings and fields
• Distribution of Discriminants of Abelian Extensions
• Density of discriminants of cubic extensions.
• On the density of discriminants of cubic fields. II
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