Location of approximations of a Markoff theorem

Relative to the first two theorems of the well known Markoff Chain (J.W.S. Cassels, An introduction to diophantine approximation approximations are well located. Literature is silent on the question of location of approximations in reference to the other theorems of the Chain. Here we settle it for...

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Main Authors: K. C. Prasad, M. Lari, P. Singh
Format: Article
Language:English
Published: Wiley 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171290000308
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author K. C. Prasad
M. Lari
P. Singh
author_facet K. C. Prasad
M. Lari
P. Singh
author_sort K. C. Prasad
collection DOAJ
description Relative to the first two theorems of the well known Markoff Chain (J.W.S. Cassels, An introduction to diophantine approximation approximations are well located. Literature is silent on the question of location of approximations in reference to the other theorems of the Chain. Here we settle it for the third theorem of the Chain.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1990-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-4dcb5b72fe7d4547bcbd66aa16828bb02025-02-03T01:22:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113120120410.1155/S0161171290000308Location of approximations of a Markoff theoremK. C. Prasad0M. Lari1P. Singh2Department of Mathematics, Ranchi University, Ranchi 834008, IndiaBirsa Agriculture University, IndiaS.S.M. College, Ranchi, IndiaRelative to the first two theorems of the well known Markoff Chain (J.W.S. Cassels, An introduction to diophantine approximation approximations are well located. Literature is silent on the question of location of approximations in reference to the other theorems of the Chain. Here we settle it for the third theorem of the Chain.http://dx.doi.org/10.1155/S0161171290000308continued fractionsrational approximation.
spellingShingle K. C. Prasad
M. Lari
P. Singh
Location of approximations of a Markoff theorem
International Journal of Mathematics and Mathematical Sciences
continued fractions
rational approximation.
title Location of approximations of a Markoff theorem
title_full Location of approximations of a Markoff theorem
title_fullStr Location of approximations of a Markoff theorem
title_full_unstemmed Location of approximations of a Markoff theorem
title_short Location of approximations of a Markoff theorem
title_sort location of approximations of a markoff theorem
topic continued fractions
rational approximation.
url http://dx.doi.org/10.1155/S0161171290000308
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