A Classical Invitation to Algebraic Numbers and Class FieldsSpringer New York, 1978 - 328 Seiten "Artin's 1932 Göttingen Lectures on Class Field Theory" and "Connections between Algebrac Number Theory and Integral Matrices" |
Inhalt
INTRODUCTORY REMARKS ON QUADRATIC FORMS | 1 |
FINITE DETERMINATION OF CLASS NUMBER | 13 |
QUADRATIC EUCLIDEAN RINGS | 17 |
Urheberrecht | |
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Andere Ausgaben - Alle anzeigen
A Classical Invitation to Algebraic Numbers and Class Fields Harvey Cohn Eingeschränkte Leseprobe - 2012 |
A Classical Invitation to Algebraic Numbers and Class Fields O. Taussky,Harvey Cohn Keine Leseprobe verfügbar - 1978 |
Häufige Begriffe und Wortgruppen
abelian algebraic number field algebraic number theory Artin automorphisms base field basis Chapter character class field theory class group class number conductor conjugates consider Corollary corresponding cosets cyclic cyclotomic Dedekind Dedekind ring define Definition degree denote determined Dirichlet discriminant divisor domain elements equation equivalence euclidean Exercise exists finite number follows fundamental unit Galois genus group H Hasse Hence Hilbert class field ideal class Illustration imbedding infinite integral integral domain irreducible isomorphic K₁ k₂ L-function L-series Lemma Math matrix maximal module norm normal Pell's equation polynomial prime factor prime ideals principal ideal Proof Q(exp quadratic field quadratic forms quotient r₁ rational relation relatively prime Remark represented residue classes ring roots of unity satisfies solvable split completely subgroup symbol Theorem Type unramified vector Verify X₁