Enumerating \(D_4\) quartics and a Galois group bias over function fields

DOI10.5802/jtnb.1206OpenAlexW3086998053MaRDI QIDQ2086410

Daniel Keliher

Publication date: 25 October 2022

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09274

zbMATH Keywords

function fieldspolynomialsGalois theoryfield counting

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Density theorems (11R45)

Cites Work

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• Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
• Counting irreducible factors of polynomials over a finite field
• Distribution of Discriminants of Abelian Extensions
• Comparing the density of $D_4$ and $S_4$ quartic extensions of number fields

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