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]
• 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
  • 11N05 Distribution of primes
  • 11N13 Primes in progressions [See also 11B25]
  • 11N25 Distribution of integers with specified multiplicative constraints
  • 11N30 Turán theory [See also 30Bxx]
  • 11N32 Primes represented by polynomials; other multiplicative structure of polynomial values
  • 11N35 Sieves
  • 11N36 Applications of sieve methods
  • 11N37 Asymptotic results on arithmetic functions
  • 11N45 Asymptotic results on counting functions for algebraic and topological structures
  • 11N56 Rate of growth of arithmetic functions
  • 11N60 Distribution functions associated with additive and positive multiplicative functions
  • 11N64 Other results on the distribution of values or the characterization of arithmetic functions
  • 11N69 Distribution of integers in special residue classes
  • 11N75 Applications of automorphic functions and forms to multiplicative problems [See also 11Fxx]
  • 11N80 Generalized primes and integers
  • 11N99 None of the above, but in this section
• 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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