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]
- 11J04 Homogeneous approximation to one number
- 11J06 Markov and Lagrange spectra and generalizations
- 11J13 Simultaneous homogeneous approximation, linear forms
- 11J17 Approximation by numbers from a fixed field
- 11J20 Inhomogeneous linear forms
- 11J25 Diophantine inequalities [See also 11D75]
- 11J54 Small fractional parts of polynomials and generalizations
- 11J61 Approximation in non-Archimedean valuations
- 11J68 Approximation to algebraic numbers
- 11J70 Continued fractions and generalizations [See also 11A55, 11K50]
- 11J71 Distribution modulo one [See also 11K06]
- 11J72 Irrationality; linear independence over a field
- 11J81 Transcendence (general theory)
- 11J82 Measures of irrationality and of transcendence
- 11J83 Metric theory
- 11J85 Algebraic independence; Gelfond's method
- 11J86 Linear forms in logarithms; Baker's method
- 11J89 Transcendence theory of elliptic and abelian functions
- 11J91 Transcendence theory of other special functions
- 11J93 Transcendence theory of Drinfel'd and t-modules [Nouveau code MSC 2000]
- 11J95 Results involving abelian varieties [Nouveau code MSC 2000]
- Code MSC1991 affilié : 11G10
- 11J97 Analogues of methods in Nevanlinna theory (work of Vojta et al.) [Nouveau code MSC 2000]
- Code MSC1991 affilié : 11J99
- 11J99 None of the above, but in this section
- 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]
- 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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