Mathematical Sciences Classification System

11Jxx - Diophantine approximation, transcendental number theory
[See also 11K60]

  • 1
    11J04
    Homogeneous approximation to one number
  • 11J06
    Markov and Lagrange spectra and generalizations
  • 11J13
    Simultaneous homogeneous approximation, linear forms
  • 2
    11J17
    Approximation by numbers from a fixed field
  • 11J20
    Inhomogeneous linear forms
  • 1
    11J25
    Diophantine inequalities [See also 11D75]
  • 11J54
    Small fractional parts of polynomials and generalizations
  • 11J61
    Approximation in non-Archimedean valuations
  • 1
    11J68
    Approximation to algebraic numbers
  • 8
    11J70
    Continued fractions and generalizations [See also 11A55, 11K50]
  • 2
    11J71
    Distribution modulo one [See also 11K06]
  • 11J72
    Irrationality; linear independence over a field
  • 3
    11J81
    Transcendence (general theory)
  • 2
    11J82
    Measures of irrationality and of transcendence
  • 1
    11J83
    Metric theory
  • 1
    11J85
    Algebraic independence; Gel'fond's method
  • 2
    11J86
    Linear forms in logarithms; Baker's method
  • 1
    11J87
    Schmidt Subspace Theorem and applications
  • 1
    11J89
    Transcendence theory of elliptic and abelian functions
  • 11J91
    Transcendence theory of other special functions
  • 1
    11J93
    Transcendence theory of Drinfel'd and $t$-modules
  • 11J95
    Results involving abelian varieties
  • 4
    11J97
    Analogues of methods in Nevanlinna theory (work of Vojta et al.)
  • 11J99
    None of the above, but in this section

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