11XX 


Number theory 

11Rxx 

Algebraic number theory: global fields {For complex multiplication, see 11G15} 


11R04 
Algebraic numbers; rings of algebraic integers 


11R06 
PVnumbers 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 [See also 20C10] 


11R34 
Galois cohomology [See also 12Gxx, 16H05, 19A31] 


11R37 
Class field theory 


11R39 
LanglandsWeil conjectures, nonabelian class field theory [See also 11Fxx, 22E55] 


11R42 
Zeta functions and $L$functions of number fields [See also 11M41, 19F27] 


11R44 
Distribution of prime ideals [See also 11N05] 


11R45 
Density theorems 


11R47 
Other analytic theory [See also 11Nxx] 


11R52 
Quaternion and other division algebras: arithmetic, zeta functions 


11R54 
Other algebras and orders, and their zeta and $L$functions [See also 11S45, 16H05, 16Kxx] 


11R56 
AdÃ¨le rings and groups 


11R58 
Arithmetic theory of algebraic function fields [See also 14XX] 


11R60 
Cyclotomic function fields (class groups, Bernoulli objects, etc.) 


11R65 
Class groups and Picard groups of orders 


11R70 
$K$theory of global fields [See also 19Fxx] 


11R80 
Totally real and totally positive fields [See also 12J15] 


11R99 
None of the above, but in this section 