Engel Series and Cohen-Egyptian Fraction Expansions

Vichian Laohakosol, Tuangrat Chaichana, Jittinart Rattanamoong and Narakorn Rompurk Kanasri

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-15

Abstract:

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:865705

DOI: 10.1155/2009/865705

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