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  • 11-XX Number theory
  • 11Rxx Algebraic number theory: global fields
  • 11R29 Class numbers, class groups, discriminants

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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Lengths of irreducible factorizations in fields with small class number

Daisy C. McCoy, Charles J. Parry (1990)

Colloquium Mathematicae

Les discriminants quadratiques et la congruence de Stickelberger

Jacques Martinet (1989)

Journal de théorie des nombres de Bordeaux

Les extensions quadratiques dur corps des raionnels, ou du corps de Gauss, ou du corps des racines cubiques de l'unité des calibres 1.

Stéphane Louboutin (1990)

Manuscripta mathematica

L-functions at the origin and annihilation of class groups in multiquadratic extensions

Jonathan W. Sands (2012)

Acta Arithmetica

Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields

Stéphane R. Louboutin (2006)

Acta Arithmetica

Lower bounds for the principal genus of definite binary quadratic forms.

Hopkins, Kimberly, Stopple, Jeffrey (2010)

Integers

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