La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Retour 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]
• 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]
  • 11Y05 Factorization
  • 11Y11 Primality
  • 11Y16 Algorithms; complexity [See also 68Q25]
  • 11Y35 Analytic computations
  • 11Y40 Algebraic number theory computations
  • 11Y50 Computer solution of Diophantine equations
  • 11Y55 Calculation of integer sequences
  • 11Y60 Evaluation of constants
  • 11Y65 Continued fraction calculations
  • 11Y70 Values of arithmetic functions; tables
  • 11Y99 None of the above, but in this section
• 11Z05 Miscellaneous applications of number theory

Retour à la page Classification Mathématique par Matières (version 2000)