Interesting Esoterica

The Splitting Algorithm for Egyptian Fractions

Article by L. Beeckmans
  • Published in 1991
  • Added on
In the collection
The purpose of this paper is to answer a question raised by Stewart in 1964; we prove that the so-called splitting algorithm for Egyptian fractions based on the identity 1/x = 1/(x + 1) + 1/x(x + 1) terminates.

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BibTeX entry

@article{TheSplittingAlgorithmforEgyptianFractions,
	title = {The Splitting Algorithm for Egyptian Fractions},
	abstract = {The purpose of this paper is to answer a question raised by Stewart in 1964; we prove that the so-called splitting algorithm for Egyptian fractions based on the identity 1/x = 1/(x + 1) + 1/x(x + 1) terminates.},
	url = {https://www.sciencedirect.com/science/article/pii/S0022314X83710152?via{\%}3Dihub},
	year = 1991,
	author = {L. Beeckmans},
	comment = {},
	urldate = {2018-09-20},
	collections = {Easily explained}
}