Engel Series and Cohen-Egyptian Fraction Expansions | Zendy

Vichian Laohakosol | Zendy; Tuangrat Chaichana | Zendy; Jittinart Rattanamoong | Zendy; Narakorn Rompurk Kanasri | Zendy

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Engel Series and Cohen-Egyptian Fraction Expansions

Author(s) -

Vichian Laohakosol,

Tuangrat Chaichana,

Jittinart Rattanamoong,

Narakorn Rompurk Kanasri

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/865705

Subject(s) - mathematics , series (stratigraphy) , fraction (chemistry) , continued fraction , rational number , pure mathematics , arithmetic , paleontology , chemistry , organic chemistry , remainder , biology

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

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