The great theorem of AA Markoff and Jean Bernoulli sequences

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Elsevier Science Bv

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info:eu-repo/semantics/closedAccess

Abstract

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. (C) 2009 Elsevier B.V. All rights reserved.

Description

International Conference on Special Functions, Information Theory and Mathematical Physics -- SEP 17-19, 2007 -- Granada, SPAIN

Keywords

Markoff's algorithm, The Lagrange spectrum, Continued fractions, Transcendental numbers

Journal or Series

Journal of Computational and Applied Mathematics

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233

Issue

6

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