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  • 11-XX Number theory
  • 11Rxx Algebraic number theory: global fields
  • 11R80 Totally real fields

11Rxx Algebraic number theory: global fields

  • 11R04 Algebraic numbers; rings of algebraic integers
  • 11R06 PV-numbers and generalizations; other special algebraic numbers; Mahler measure
  • 11R09 Polynomials (irreducibility, etc.)
  • 11R11 Quadratic extensions
  • 11R16 Cubic and quartic extensions
  • 11R18 Cyclotomic extensions
  • 11R20 Other abelian and metabelian extensions
  • 11R21 Other number fields
  • 11R23 Iwasawa theory
  • 11R27 Units and factorization
  • 11R29 Class numbers, class groups, discriminants
  • 11R32 Galois theory
  • 11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers
  • 11R34 Galois cohomology
  • 11R37 Class field theory
  • 11R39 Langlands-Weil conjectures, nonabelian class field theory
  • 11R42 Zeta functions and L -functions of number fields
  • 11R44 Distribution of prime ideals
  • 11R45 Density theorems
  • 11R47 Other analytic theory
  • 11R52 Quaternion and other division algebras: arithmetic, zeta functions
  • 11R54 Other algebras and orders, and their zeta and L -functions
  • 11R56 Adèle rings and groups
  • 11R58 Arithmetic theory of algebraic function fields
  • 11R60 Cyclotomic function fields (class groups, Bernoulli objects, etc.)
  • 11R65 Class groups and Picard groups of orders
  • 11R70 K -theory of global fields
  • 11R80 Totally real fields
  • 11R99 None of the above, but in this section
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Darstellbarkeit von ganzen Zahlen durch Quadratsummen in einigen totalreellen Zahlkörpern.

Rudolf Scharlau (1980)

Mathematische Annalen

Darstellung total positiver ganzer algebraischer Zahlen als Summe N-freier Zahlen

Rotraut Laun (1990)

Acta Arithmetica

Definite binary quadratic forms with class number one

Meinhard Peters (1980)

Acta Arithmetica

Density of discriminants of cubic extensions.

David J. Wright, B. Datskovsky (1988)

Journal für die reine und angewandte Mathematik

Der Definitionskörper für den Zerfall einer abelschen Varietät mit komplexer Multiplikation.

C.-G. Schmidt (1980)

Mathematische Annalen

Die Berechnung von Zetafunktionen mit Vorzeichencharakter an der Stelle 1

Karl Grundlach (1973)

Acta Arithmetica

Die elliptischen Fixpunkte zu Modulgruppen in Quaternionenschiefkörper.

Volker Schneider (1975)

Mathematische Annalen

Currently displaying 1 – 7 of 7

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