Tag
Number Field
4 resources tagged “Number Field” across the knowledge library.
4 items
Article7 Aug 2026Buchmann's Sub-exponential Algorithm: OverviewBuchmann's algorithm for class groups and units of arbitrary number fields, its structure, and where its cost concentrates.2 min readRead MoreArticle7 Aug 2026Factoring Polynomials over Algebraic Number FieldsFactoring polynomials whose coefficients lie in a number field, by reduction to the rational case via norms.2 min readRead MoreArticle7 Aug 2026Number Fields: Definition and Basic PropertiesNumber fields as finite extensions of the rationals, their embeddings and signature, and the presentation on which all computation depends.2 min readRead MoreGuide6 Aug 2026Algebraic Numbers and Number FieldsAlgebraic numbers and integers, minimal polynomials, number fields as finite extensions of Q, real and complex embeddings, the signature, and the primitive element theorem.5 min readRead More