New techniques for computing the ideal class group and a system of fundamental units in number fields

zbMath1344.11088arXiv1204.1294MaRDI QIDQ2949488

Jean-François Biasse, Claus Fieker

Publication date: 1 October 2015

Full work available at URL: https://arxiv.org/abs/1204.1294

zbMATH Keywords

unitsnumber fieldsregulatorideal class groupsubexponentialityindex calculus

Mathematics Subject Classification ID

Units and factorization (11R27) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29)

Related Items (7)

Computing generators of the unit group of an integral Abelian group ring. ⋮ Fast multiquadratic S-unit computation and application to the calculation of class groups ⋮ Short Generators Without Quantum Computers: The Case of Multiquadratics ⋮ Computing Generator in Cyclotomic Integer Rings ⋮ Valuations of \(p\)-adic regulators of cyclic cubic fields ⋮ Class field theory, Diophantine analysis and the asymptotic Fermat's last theorem ⋮ COMPUTING NORMAL INTEGRAL BASES OF ABELIAN NUMBER FIELDS

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