Average bounds for the \(\ell\)-torsion in class groups of cyclic extensions

DOI10.1007/s40993-018-0127-9zbMath1444.11217arXiv1709.09934OpenAlexW2963832636MaRDI QIDQ2316275

Christopher Frei, Martin Widmer

Publication date: 26 July 2019

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09934

zbMATH Keywords

number fieldsclass groupsmall height\(\ell\)-torsion

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Heights (11G50) Class numbers, class groups, discriminants (11R29) Density theorems (11R45)

Related Items

Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮ ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group ⋮ Pointwise bound for \(\ell \)-torsion in class groups: elementary abelian extensions ⋮ Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions ⋮ Averages and higher moments for the \(\ell\)-torsion in class groups ⋮ Counting problems: class groups, primes, and number fields ⋮ Distribution of genus numbers of abelian number fields ⋮ \(\ell\)-torsion in class groups of certain families of \(D_4\)-quartic fields ⋮ An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups ⋮ Genus theory and \(\varepsilon\)-conjectures on \(p\)-class groups

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