Stuff about Pi=3.14.. is here too.
We include material using transcendental number theory to solve
Diophantine equations.
(See also elementary number theory for some continued fractions material.)
see also 11K60
- 11J04: Homogeneous approximation to one number
- 11J06: Markov and Lagrange spectra and generalizations
- 11J13: Simultaneous homogeneous approximation, linear forms
- 11J17: Approximation by numbers from a fixed field
- 11J20: Inhomogeneous linear forms
- 11J25: Diophantine inequalities, See also 11D75
- 11J54: Small fractional parts of polynomials and generalizations
- 11J61: Approximation in non-Archimedean valuations
- 11J68: Approximation to algebraic numbers
- 11J70: Continued fractions and generalizations, See also 11A55, 11K50
- 11J71: Distribution modulo one, See also 11K06
- 11J72: Irrationality; linear independence over a field
- 11J81: Transcendence (general theory)
- 11J82: Measures of irrationality and of transcendence
- 11J83: Metric theory
- 11J85: Algebraic independence; Gelfond's method
- 11J86: Linear forms in logarithms; Baker's method
- 11J89: Transcendence theory of elliptic and abelian functions
- 11J91: Transcendence theory of other special functions
- 11J93: Transcendence theory of Drinfel´d and t-modules [new in 2000]
- 11J95: Results involving abelian varieties [new in 2000]
- 11J97: Analogues of methods in Nevanlinna theory (work of Vojta et al.) [new in 2000]
- 11J99: None of the above but in this section
Parent field: 11: Number Theory
Browse all (old) classifications for this area at the AMS.
Classic references in this area include
- Baker, Alan: "Transcendental number theory", Cambridge University Press, Cambridge, 1990. 165 pp. ISBN 0-521-39791-X
- Lang, Serge: "Introduction to Diophantine approximations", Springer-Verlag, New York, 1995. 130 pp. ISBN 0-387-94456-7
- Schmidt, Wolfgang M.: "Diophantine approximation", Lecture Notes in Mathematics, 785. Springer, Berlin, 1980. 299 pp. ISBN 3-540-09762-7
See also the resources for Number theory in general.
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Last modified 2000/01/14 by Dave Rusin. Mail: