11-XX |
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Number theory |
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11Rxx |
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Algebraic number theory: global fields {For complex multiplication, see 11G15} |
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11R04 |
Algebraic numbers; rings of algebraic integers |
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11R06 |
PV-numbers and generalizations; other special algebraic numbers; Mahler measure |
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11R09 |
Polynomials (irreducibility, etc.) |
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11R11 |
Quadratic extensions |
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11R16 |
Cubic and quartic extensions |
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11R18 |
Cyclotomic extensions |
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11R20 |
Other abelian and metabelian extensions |
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11R21 |
Other number fields |
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11R23 |
Iwasawa theory |
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11R27 |
Units and factorization |
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11R29 |
Class numbers, class groups, discriminants |
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11R32 |
Galois theory |
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11R33 |
Integral representations related to algebraic numbers; Galois module structure of rings of integers [See also 20C10] |
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11R34 |
Galois cohomology [See also 12Gxx, 19F05] |
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11R37 |
Class field theory |
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11R39 |
Langlands-Weil conjectures, nonabelian class field theory [See also 11Fxx, 22E55] |
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11R42 |
Zeta functions and $L$-functions of number fields [See also 11M41, 19F27] |
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11R44 |
Distribution of prime ideals [See also 11N05] |
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11R45 |
Density theorems |
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11R47 |
Other analytic theory [See also 11Nxx] |
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11R52 |
Quaternion and other division algebras: arithmetic, zeta functions |
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11R54 |
Other algebras and orders, and their zeta and $L$-functions [See also 11S45, 16Hxx] |
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11R56 |
Adèle rings and groups |
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11R58 |
Arithmetic theory of algebraic function fields [See also 14Gxx, 14H05] |
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11R59 |
Zeta functions and $L$-functions of function fields |
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11R60 |
Cyclotomic function fields (class groups, Bernoulli objects, etc.) |
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11R65 |
Class groups and Picard groups of orders |
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11R70 |
$K$-theory of global fields [See also 19Fxx] |
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11R80 |
Totally real fields [See also 12J15] |
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11R99 |
None of the above, but in this section |