A+ CATEGORY SCIENTIFIC UNIT

Mathematical Sciences Classification System

11-XX - Number theory

  • 7
    11-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 210
    11-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 10
    11-02
    Research exposition (monographs, survey articles)
  • 107
    11-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 13
    11-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 267
    11-06
    Proceedings, conferences, collections, etc.
  • 53
    (+45)
    Elementary number theory
    {For analogues in number fields, see 11R04}
  • 37
    (+42)
    Sequences and sets
  • 4
    (+6)
    Polynomials and matrices
  • 48
    (+35)
    Diophantine equations
    [See also 11Gxx, 14Gxx]
  • 36
    (+30)
    Forms and linear algebraic groups
    [See also 19Gxx]
    {For quadratic forms in linear algebra, see 15A63}
  • 137
    (+106)
    Discontinuous groups and automorphic forms
    [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx]
    {For relations with quadratic forms, see 11E45}
  • 131
    (+81)
    Arithmetic algebraic geometry (Diophantine geometry)
    [See also 11Dxx, 14Gxx, 14Kxx]
  • 14
    (+7)
    Geometry of numbers
    {For applications in coding theory, see 94B75}
  • 45
    (+31)
    Diophantine approximation, transcendental number theory
    [See also 11K60]
  • 34
    (+29)
    Probabilistic theory: distribution modulo $1$; metric theory of algorithms
  • 13
    (+6)
    Exponential sums and character sums
    {For finite fields, see 11Txx}
  • 89
    (+50)
    Zeta and $L$-functions: analytic theory
  • 36
    (+28)
    Multiplicative number theory
  • 22
    (+21)
    Additive number theory; partitions
  • 86
    (+71)
    Algebraic number theory: global fields
    {For complex multiplication, see 11G15}
  • 40
    (+21)
    Algebraic number theory: local and $p$-adic fields
  • 35
    (+90)
    Finite fields and commutative rings (number-theoretic aspects)
  • 4
    (+4)
    Connections with logic
  • 40
    (+31)
    Computational number theory
    [See also 11-04]
  • 3
    Miscellaneous applications of number theory

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