Pointwise bound for \(\ell \)-torsion in class groups: elementary abelian extensions

DOI10.1515/crelle-2020-0034zbMath1468.11227arXiv2001.03077OpenAlexW3092770559MaRDI QIDQ2661307

Jiuya Wang

Publication date: 7 April 2021

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03077

zbMATH Keywords

Galois groupsclass groups\(\ell \)-torsionelementary abelian extensions

Mathematics Subject Classification ID

Galois theory (11R32) Asymptotic results on counting functions for algebraic and topological structures (11N45) Class numbers, class groups, discriminants (11R29) Distribution of prime ideals (11R44)

Related Items

Zeros of Rankin-Selberg \(L\)-functions at the edge of the critical strip, ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group, A sharp upper bound for the 2‐torsion of class groups of multiquadratic fields, Unnamed Item, Counting problems: class groups, primes, and number fields, An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin \(L\)-functions, The Chevalley-Herbrand formula and the real abelian Main Conjecture (new criterion using capitulation of the class group)

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