A Rapid Method of Evaluating the Regulator and Class Number of a Pure Cubic Field

DOI10.2307/2007780zbMath0528.12004OpenAlexW4240901076MaRDI QIDQ3309949

B. K. Schmid, Gerhard W. Dueck, Hugh C. Williams

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2007780

zbMATH Keywords

numerical examplesclass numbergeneralized Riemann hypothesisregulatorVoronoi algorithmpure cubic fieldnegative discriminant

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Iwasawa theory (11R23) Software, source code, etc. for problems pertaining to field theory (12-04)

Related Items (6)

Approximating Euler products and class number computation in algebraic function fields ⋮ Monogenic pure cubics ⋮ Voronoi's algorithm in purely cubic congruence function fields of unit rank 1 ⋮ On the Infrastructure of the Principal Ideal Class of an Algebraic Number Field of Unit Rank One ⋮ Class numbers of cyclotomic fields ⋮ Ideal arithmetic and infrastructure in purely cubic function fields

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