La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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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]
  • 11E04 Quadratic forms over general fields
  • 11E08 Quadratic forms over local rings and fields
  • 11E10 Forms over real fields
  • 11E12 Quadratic forms over global rings and fields
  • 11E16 General binary quadratic forms
  • 11E20 General ternary and quaternary quadratic forms; forms of more than two variables
  • 11E25 Sums of squares and representations by other particular quadratic forms
  • 11E39 Bilinear and Hermitian forms
  • 11E41 Class numbers of quadratic and Hermitian forms
  • 11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
  • 11E57 Classical groups [See also 14Lxx, 20Gxx]
  • 11E70 K-theory of quadratic and Hermitian forms
  • 11E72 Galois cohomology of linear algebraic groups [See also 20G10]
  • 11E76 Forms of degree higher than two
  • 11E81 Algebraic theory of quadratic forms; Witt groups and rings [See also 19G12, 19G24]
  • 11E88 Quadratic spaces; Clifford algebras [See also 15A63, 15A66]
  • 11E95 p-adic theory
  • 11E99 None of the above, but in this section
• 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]
• 11Z05 Miscellaneous applications of number theory

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