An improved error term for counting \(D_4\)-quartic fields

DOI10.1112/BLMS.13106MaRDI QIDQ6644168

A. Beeson, Kevin J. McGown

Publication date: 27 November 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

number field countingMalle's conjecture

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Cubic and quartic extensions (11R16) Density theorems (11R45)

Cites Work

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• Über Ideale und Primideale in Idealklassen.
• A counter example to Malle's conjecture on the asymptotics of discriminants
• The number of \(D_4\)-fields ordered by conductor
• Uniform bounds for lattice point counting and partial sums of zeta functions
• Counting discriminants of number fields
• On the Distribution of Class Groups of Number Fields
• The Conductor Density of Abelian Number Fields
• Density of discriminants of cubic extensions.
• On the density of discriminants of quartic fields.
• Explicit Upper Bounds for Residues of Dedekind Zeta Functions and Values ofL-Functions ats= 1, and Explicit Lower Bounds for Relative Class Numbers of CM-Fields
• On the Distribution of Galois Groups, II
• ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group
• Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves
• Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants
• The distribution of \(G\)-Weyl CM fields and the Colmez conjecture

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