释义 |
Liouville NumberA Liouville number is a Transcendental Number which has very close Rational Number approximations. An IrrationalNumber is a Liouville number if, for any , there exist an infinite number of pairs of Integers and such that
Mahler (1953) proved that is not a Liouville number.See also Liouville's Constant, Liouville's Rational Approximation Theorem, Roth's Theorem, TranscendentalNumber References
Mahler, K. ``On the Approximation of .'' Nederl. Akad. Wetensch. Proc. Ser. A. 56/Indagationes Math. 15, 30-42, 1953.
|