| 11R04 |
- |
Algebraic numbers; rings of algebraic integers |
| 11R06 |
- |
PV-numbers and generalizations; other special algebraic numbers |
| 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 and totally positive fields |
| 11R99 |
- |
Miscellaneous |
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