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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