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Mathematical Sciences Classification System

11Sxx - Algebraic number theory: local and $p$-adic fields

• 11S05
  Polynomials
• 11S15
  Ramification and extension theory
• 11S20
  Galois theory
• 11S23
  Integral representations
• 2
  11S25
  Galois cohomology [See also 12Gxx, 16H05]
• 2
  11S31
  Class field theory; $p$-adic formal groups [See also 14L05]
• 3
  11S37
  Langlands-Weil conjectures, nonabelian class field theory [See also 11Fxx, 22E50]
• 1
  11S40
  Zeta functions and $L$-functions [See also 11M41, 19F27]
• 1
  11S45
  Algebras and orders, and their zeta functions [See also 11R52, 11R54, 16Hxx, 16Kxx]
• 11S70
  $K$-theory of local fields [See also 19Fxx]
• 9
  11S80
  Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.)
• 1
  11S82
  Non-Archimedean dynamical systems [See mainly 37Pxx]
• 1
  11S85
  Other nonanalytic theory
• 1
  11S90
  Prehomogeneous vector spaces
• 11S99
  None of the above, but in this section