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Mathematics Subject Classification – MSC2020

11-XX

Number theory 142085

11Rxx

Algebraic number theory: global fields {For complex multiplication, see 11G15} 19715

11R04

Algebraic numbers; rings of algebraic integers 1667

11R06

PV-numbers and generalizations; other special algebraic numbers; Mahler measure 777

11R09

Polynomials (irreducibility, etc.) 1128

11R11

Quadratic extensions 2649

11R16

Cubic and quartic extensions 1037

11R18

Cyclotomic extensions 2065

11R20

Other abelian and metabelian extensions 703

11R21

Other number fields 538

11R23

Iwasawa theory 2361

11R27

Units and factorization 1774

11R29

Class numbers, class groups, discriminants 2876

11R32

Galois theory 1780

11R33

Integral representations related to algebraic numbers; Galois module structure of rings of integers [See also 20C10] 763

11R34

Galois cohomology [See also 12Gxx, 19A31] 722

11R37

Class field theory 1593

11R39

Langlands-Weil conjectures, nonabelian class field theory [See also 11Fxx, 22E55] 486

11R42

Zeta functions and \(L\)-functions of number fields [See also 11M41, 19F27] 1949

11R44

Distribution of prime ideals [See also 11N05] 161

11R45

Density theorems 474

11R47

Other analytic theory [See also 11Nxx] 233

11R52

Quaternion and other division algebras: arithmetic, zeta functions 1154

11R54

Other algebras and orders, and their zeta and \(L\)-functions [See also 11S45, 16Hxx, 16Kxx] 155

11R56

Adèle rings and groups 356

11R58

Arithmetic theory of algebraic function fields [See also 14-XX] 1941

11R59

Zeta functions and \(L\)-functions of function fields 1

11R60

Cyclotomic function fields (class groups, Bernoulli objects, etc.) 153

11R65

Class groups and Picard groups of orders 113

11R70

\(K\)-theory of global fields [See also 19Fxx] 502

11R80

Totally real fields [See also 12J15] 366

11R99

None of the above, but in this section 310

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Operations research, mathematical programming

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Biology and other natural sciences

Systems theory; control

Information and communication theory, circuits

Mathematics education

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Mathematics Subject Classification – MSC2020

Overview