Norm relations and computational problems in number fields

DOI10.1112/jlms.12563zbMath1530.11098arXiv2002.12332MaRDI QIDQ6175935

Tommy Hofmann, Claus Fieker, Aurel Page, Jean-François Biasse

Publication date: 21 August 2023

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

Full work available at URL: https://arxiv.org/abs/2002.12332

zbMATH Keywords

number fieldsclass groupszeta functionsunit groups

Mathematics Subject Classification ID

Galois theory (11R32) Units and factorization (11R27) Number-theoretic algorithms; complexity (11Y16) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

A proof of the conjectured run time of the Hafner-McCurley class group algorithm ⋮ Log-\(\mathcal{S}\)-unit lattices using explicit Stickelberger generators to solve approx ideal-SVP

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