On the distribution of \(\mathrm{Cl}(K)[l^\infty]\) for degree \(l\) cyclic fields

DOI10.4171/JEMS/1112MaRDI QIDQ2119386

Carlo Pagano, Peter Koymans

Publication date: 29 March 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06884

zbMATH Keywords

class groupsarithmetic statistics

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Density theorems (11R45) Galois cohomology (11R34)

Related Items (7)

On Malle’s conjecture for nilpotent groups ⋮ ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group ⋮ The 8-rank of the narrow class group and the negative Pell equation ⋮ On the λ-stability of p-class groups along cyclic p-towers of a number field ⋮ On Dirichlet biquadratic fields ⋮ The Chevalley-Herbrand formula and the real abelian Main Conjecture (new criterion using capitulation of the class group) ⋮ Integral points on generalised affine Châtelet surfaces

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