Search and Browse the MSC 2000

11-XX Number theory → ZMATH

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

11R04 Algebraic numbers; rings of algebraic integers → ZMATH

11R06 PV-numbers and generalizations; other special algebraic numbers → ZMATH

11R09 Polynomials (irreducibility, etc.) → ZMATH

11R11 Quadratic extensions → ZMATH

11R16 Cubic and quartic extensions → ZMATH

11R18 Cyclotomic extensions → ZMATH

11R20 Other abelian and metabelian extensions → ZMATH

11R21 Other number fields → ZMATH

11R23 Iwasawa theory → ZMATH

11R27 Units and factorization → ZMATH

11R29 Class numbers, class groups, discriminants → ZMATH

11R32 Galois theory → ZMATH

11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers [See also 20C10] → ZMATH

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

11R37 Class field theory → ZMATH

11R39 Langlands-Weil conjectures, nonabelian class field theory [See also 11Fxx, 22E55] → ZMATH

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

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

11R45 Density theorems → ZMATH

11R47 Other analytic theory [See also 11Nxx] → ZMATH

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

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

11R56 Adèle rings and groups → ZMATH

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

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

11R65 Class groups and Picard groups of orders → ZMATH

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

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

11R99 None of the above, but in this section → ZMATH