Engel Series and Cohen-Egyptian Fraction Expansions

Engel Series and Cohen-Egyptian Fraction Expansions

Two kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed. Both representations are shown to be identical in all cases ex...

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Main Authors: Vichian Laohakosol, Tuangrat Chaichana, Jittinart Rattanamoong, Narakorn Rompurk Kanasri
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/865705
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spelling doaj-ff733100f84046f3be6d8c6c1d2e41dd2020-11-24T22:54:58ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/865705865705Engel Series and Cohen-Egyptian Fraction ExpansionsVichian Laohakosol0Tuangrat Chaichana1Jittinart Rattanamoong2Narakorn Rompurk Kanasri3Department of Mathematics, Kasetsart University, Bangkok 10900, ThailandDepartment of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, ThailandDepartment of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, ThailandDepartment of Mathematics, Khon Kaen University, Khon Kaen 40002, ThailandTwo kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed. Both representations are shown to be identical in all cases except the case of real rational numbers.http://dx.doi.org/10.1155/2009/865705
collection DOAJ
language English
format Article
sources DOAJ
author Vichian Laohakosol
Tuangrat Chaichana
Jittinart Rattanamoong
Narakorn Rompurk Kanasri
spellingShingle Vichian Laohakosol
Tuangrat Chaichana
Jittinart Rattanamoong
Narakorn Rompurk Kanasri
Engel Series and Cohen-Egyptian Fraction Expansions
International Journal of Mathematics and Mathematical Sciences
author_facet Vichian Laohakosol
Tuangrat Chaichana
Jittinart Rattanamoong
Narakorn Rompurk Kanasri
author_sort Vichian Laohakosol
title Engel Series and Cohen-Egyptian Fraction Expansions
title_short Engel Series and Cohen-Egyptian Fraction Expansions
title_full Engel Series and Cohen-Egyptian Fraction Expansions
title_fullStr Engel Series and Cohen-Egyptian Fraction Expansions
title_full_unstemmed Engel Series and Cohen-Egyptian Fraction Expansions
title_sort engel series and cohen-egyptian fraction expansions
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2009-01-01
description Two kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed. Both representations are shown to be identical in all cases except the case of real rational numbers.
url http://dx.doi.org/10.1155/2009/865705
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AT tuangratchaichana engelseriesandcohenegyptianfractionexpansions
AT jittinartrattanamoong engelseriesandcohenegyptianfractionexpansions
AT narakornrompurkkanasri engelseriesandcohenegyptianfractionexpansions
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