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< 11Pxx | 11-XX | 11Sxx >
11-XX Number theory
11Rxx Algebraic number theory: global fields {For complex multiplication, see 11G15}
11R04   Algebraic numbers; rings of algebraic integers
11R06   PV-numbers and generalizations; other special algebraic numbers; Mahler measure
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, 19A31]
11R37   Class field theory
11R39   Langlands-Weil 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, 16Hxx, 16Kxx]
11R56   Adèle rings and groups
11R58   Arithmetic theory of algebraic function fields [See also 14-XX]
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 fields [See also 12J15]
11R99   None of the above, but in this section
< 11Pxx | 11-XX | 11Sxx >
American Mathematical Society