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Introduction to the Construction of Class Fields

Frontcover
0 Rezensionen
Courier Dover Publications, 1985 - 213 Seiten
A broad introduction to quadratic forms, modular functions, interpretation by rings and ideals, class fields by radicals and more. 1985 ed.
  

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Ausgewählte Seiten

Inhalt

Interpretation by rings and ideals
24
Finite invariants of it field
45
Function fields
58
The modular function field
153
Class fields by modular functions
178
Urheberrecht

Andere Ausgaben - Alle anzeigen

Introduction to the construction of class fields
Introduction to the construction of class fields
Harvey Cohn
Eingeschränkte Leseprobe - 1985

Häufige Begriffe und Wortgruppen

abelian extension algebraic integer algebraic number Artin basis biuniquely CF(P Chapter Cl(k class field theory class group class number classical coeflicients complex conductor conjugates Corollary corresponding cyclic Dedekind Dedekind ring defined Definition degree denoted discriminant divisors elements equivalence classes Exercise factors find first fixed follows function fields fundamental fundamental discriminant Galois group Hecke L-function hence Hilbert class field ideal class ideal group Illustration imbedding infinite integer ring invariant lattice Lemma Math mathematics matrices maximal modular equation modular functions modular group modulo multiplicative nonzero norm normal field Note number fields number theory polynomial prime ideal primitive principal ideal problems Proof q-expansions quadratic field rational ray class relatively abelian Remark result Riemann surface ring class field roots of unity satisfies set of primes subfields subgroup symbol Theorem unique unit unramified values variables Verify Weber z-sphere

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Bibliografische Informationen

QR code for Introduction to the Construction of Class Fields
TitelIntroduction to the Construction of Class Fields
Dover books on advanced mathematics
AutorHarvey Cohn
Ausgabeillustriert, ungekürzt, Neuauflage, Neuausgabe
VerlagCourier Dover Publications, 1985
ISBN048668346X, 9780486683461
Länge213 Seiten
  
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