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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 11 | Number theory | ||
| 11R | 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 | ||
| 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, 16H05, 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, 16H05, 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 and totally positive fields [See also 12J15] | ||
| 11R99 | None of the above, but in this section | ||
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