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11Sxx

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

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