11Rxx Algebraic number theory: global fields, {For complex multiplication, See 11G15} ( 0 Dok. )

• 11R04 Algebraic numbers; rings of algebraic integers ( 0 Dok. )
• 11R06 PV-numbers and generalizations; other special algebraic numbers ( 0 Dok. )
• 11R09 Polynomials (irreducibility, etc.) ( 0 Dok. )
• 11R11 Quadratic extensions ( 0 Dok. )
• 11R16 Cubic and quartic extensions ( 0 Dok. )
• 11R18 Cyclotomic extensions ( 0 Dok. )
• 11R20 Other abelian and metabelian extensions ( 0 Dok. )
• 11R21 Other number fields ( 0 Dok. )
• 11R23 Iwasawa theory ( 0 Dok. )
• 11R27 Units and factorization ( 0 Dok. )
• 11R29 Class numbers, class groups, discriminants ( 0 Dok. )
• 11R32 Galois theory ( 0 Dok. )
• 11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers, See Also {20C10} ( 0 Dok. )
• 11R34 Galois cohomology, See also {12Gxx, 16H05, 19A31} ( 0 Dok. )
• 11R37 Class field theory ( 0 Dok. )
• 11R39 Langlands-Weil conjectures, nonabelian class field theory See also {11Fxx, 22E55} ( 0 Dok. )
• 11R42 Zeta functions and $L$-functions of number fields, See also {11M41, 19F27} ( 0 Dok. )
• 11R44 Distribution of prime ideals, See also {11N05} ( 0 Dok. )
• 11R45 Density theorems ( 0 Dok. )
• 11R47 Other analytic theory, See also {11Nxx} ( 0 Dok. )
• 11R52 Quaternion and other division algebras: arithmetic, zeta functions ( 0 Dok. )
• 11R54 Other algebras and orders, and their zeta and $L$-functions, See also {11S45, 16H05, 16Kxx} ( 0 Dok. )
• 11R56 Adele rings and groups ( 0 Dok. )
• 11R58 Arithmetic theory of algebraic function fields, See also {14-XX} ( 0 Dok. )
• 11R65 Class groups and Picard groups of orders ( 0 Dok. )
• 11R70 $K$-theory of global fields, See also {19Fxx} ( 0 Dok. )
• 11R80 Totally real and totally positive fields, See also {12J15} ( 0 Dok. )
• 11R99 None of the above but in this section ( 0 Dok. )