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

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