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  • 11-XX Number theory
  • 11Rxx Algebraic number theory: global fields
  • 11R39 Langlands-Weil conjectures, nonabelian class field theory

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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