La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour aux chapitres de la classification 11-XX Number theory
- 11-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 11-01 Instructional exposition (textbooks, tutorial papers, etc.)
- 11-02 Research exposition (monographs, survey articles)
- 11-03 Historical (must also be assigned at least one classification number from Section 01)
- 11-04 Explicit machine computation and programs (not the theory of computation or programming)
- 11-06 Proceedings, conferences, collections, etc.
- 11-99 Number theory (not classified at a more specific level)
- 11Axx Elementary number theory [For analogues in number fields, see 11R04]
- 11Bxx Sequences and sets
- 11Cxx Polynomials and matrices
- 11Dxx Diophantine equations [See also 11Gxx, 14Gxx]
- 11Exx Forms and linear algebraic groups [See also 19Gxx] [For quadratic forms in linear algebra, see 15A63]
- 11Fxx Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14-XX, 22Exx, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] [For relations with quadratic forms, see 11E45]
- 11Gxx Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14-XX, 14Gxx, 14Kxx]
- 11Hxx Geometry of numbers [For applications in coding theory, see 94B75]
- 11Jxx Diophantine approximation, transcendental number theory [See also 11K60]
- 11Kxx Probabilistic theory: distribution modulo 1; metric theory of algorithms
- 11Lxx Exponential sums and character sums [For finite fields, see 11Txx]
- 11Mxx Zeta and L-functions: analytic theory
- 11Nxx Multiplicative number theory
- 11Pxx Additive number theory; partitions
- 11Rxx 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 Adele rings and groups
- 11R58 Arithmetic theory of algebraic function fields [See also 14-XX]
- 11R60 Cyclotomic function fields (class groups, Bernoulli objects, etc.) [Nouveau code MSC 2000]
- Code MSC1991 affilié : 11R58
- 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
- 11Sxx Algebraic number theory: local and p-adic fields
- 11Txx Finite fields and commutative rings (number-theoretic aspects) [See also 13Mxx]
- 11Uxx Connections with logic
- 11Yxx Computational number theory [See also 11-04]
- 11Z05 Miscellaneous applications of number theory
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