The great theorem of A.A. Markoff and Jean Bernoulli sequences
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摘要
A proof of Markoff’s Great Theorem on the Lagrange spectrum using continued fractions is sketched. Markoff’s periods and Jean Bernoulli sequence 1 are used to obtain a simple algorithm for the computation of the Lagrange spectrum below 3.
论文关键词:11J06,11J70,11K60,65A05,Markoff’s algorithm,The Lagrange spectrum,Continued fractions,Transcendental numbers
论文评审过程:Received 15 September 2007, Available online 27 February 2009.
论文官网地址:https://doi.org/10.1016/j.cam.2009.02.069