The Great Theorem of Aa Markoff and Jean Bernoulli Sequences
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Date
2010
Authors
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Publisher
Elsevier Science Bv
Open Access Color
HYBRID
Green Open Access
No
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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
Khrushchev, Sergey/0000-0002-8854-5317
ORCID
Keywords
Markoff's algorithm, The Lagrange spectrum, Continued fractions, Transcendental numbers, Computational Mathematics, Continued fractions, Applied Mathematics, Transcendental numbers, Markoff’s algorithm, The Lagrange spectrum, Markov and Lagrange spectra and generalizations, Continued fractions and generalizations, continued fractions, transcendental numbers, Markoff's algorithm, the Lagrange spectrum
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
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Q1
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N/A
Source
International Conference on Special Functions, Information Theory and Mathematical Physics -- SEP 17-19, 2007 -- Granada, SPAIN
Volume
233
Issue
6
Start Page
1548
End Page
1553
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