11Sxx 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
11S99  None of the above but in this section