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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Format: | Article |
Language: | English |
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Wiley
1990-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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. |
format | Article |
id | doaj-art-4dcb5b72fe7d4547bcbd66aa16828bb0 |
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 |
work_keys_str_mv | AT kcprasad locationofapproximationsofamarkofftheorem AT mlari locationofapproximationsofamarkofftheorem AT psingh locationofapproximationsofamarkofftheorem |