The Great Theorem of Aa Markoff and Jean Bernoulli Sequences

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2010

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Elsevier Science Bv

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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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.

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Khrushchev, Sergey/0000-0002-8854-5317
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Khrushchev, Sergey ORCID logo

Keywords

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

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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

URI

https://doi.org/10.1016/j.cam.2009.02.069
 https://hdl.handle.net/20.500.14411/1483

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