11Rxx Algebraic number theory: global fields {For complex multiplication, see <a href="#code:11G15">11G15</a>}

11R04 Algebraic numbers; rings of algebraic integers

11R06 PV-numbers and generalizations; other special algebraic numbers; Mahler measure

11R20 Other abelian and metabelian extensions

11R29 Class numbers, class groups, discriminants

11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers [See also <a href="#code:20C10">20C10</a>]

11R34 Galois cohomology [See also <a href="#code:12Gxx">12Gxx</a>, <a href="#code:19A31">19A31</a>]

11R39 Langlands-Weil conjectures, nonabelian class field theory [See also <a href="#code:11Fxx">11Fxx</a>, <a href="#code:22E55">22E55</a>]

11R42 Zeta functions and $L$-functions of number fields [See also <a href="#code:11M41">11M41</a>, <a href="#code:19F27">19F27</a>]

11R44 Distribution of prime ideals [See also <a href="#code:11N05">11N05</a>]

11R47 Other analytic theory [See also <a href="#code:11Nxx">11Nxx</a>]

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

11R54 Other algebras and orders, and their zeta and $L$-functions [See also <a href="#code:11S45">11S45</a>, <a href="#code:16Hxx">16Hxx</a>, <a href="#code:16Kxx">16Kxx</a>]

11R58 Arithmetic theory of algebraic function fields [See also <a href="#code:14-XX">14-XX</a>]

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 <a href="#code:19Fxx">19Fxx</a>]

11R80 Totally real fields [See also <a href="#code:12J15">12J15</a>]

11R99 None of the above, but in this section

11Sxx Algebraic number theory: local and $p$-adic fields

11S25 Galois cohomology [See also <a href="#code:12Gxx">12Gxx</a>, <a href="#code:16H05">16H05</a>]

11S31 Class field theory; $p$-adic formal groups [See also <a href="#code:14L05">14L05</a>]

11S37 Langlands-Weil conjectures, nonabelian class field theory [See also <a href="#code:11Fxx">11Fxx</a>, <a href="#code:22E50">22E50</a>]