Harmonic analysis and statistics of the first Galois cohomology group

DOI10.1007/s40687-021-00283-2zbMath1469.11386arXiv2102.11223OpenAlexW3191268022MaRDI QIDQ2050850

Brandon Alberts, Evan O'Dorney

Publication date: 1 September 2021

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.11223

zbMATH Keywords

Galois cohomologyTauberian theoremGrunwald-Wang theorem

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Galois cohomology (11R34) Tauberian theorems (11M45)

Related Items (5)

On Malle’s conjecture for nilpotent groups ⋮ Torsors for finite group schemes of bounded height ⋮ Idélic approach in enumerating Heisenberg extensions ⋮ Harmonic analysis and statistics of the first Galois cohomology group ⋮ Statistics of the first Galois cohomology group: a refinement of Malle's conjecture

Cites Work

• The Grunwald problem and approximation properties for homogeneous spaces
• Harmonic analysis and statistics of the first Galois cohomology group
• Statistics of the first Galois cohomology group: a refinement of Malle's conjecture
• Über das Einbettungsproblem der algebraischen Zahlentheorie
• On Grunwald's theorem
• Quelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique fini
• On the probabilities of local behaviors in abelian field extensions
• Distribution of Discriminants of Abelian Extensions
• The Hasse norm principle for abelian extensions
• Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants
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