Author:
Bönning Astrid,Hilton Peter,Pedersen Jean
Abstract
A rational number is said to be expressed in Egyptian form (or Egyptian presentation) if it is written as a sum of fractions where each fraction has the numerator 1 and all of the denominators are distinct. The individual terms of die sum are often referred to as unit fractions. The problem of finding such expressions, and many related questions, has a long history, apparently beginning with Ahmes in the Rhind Papyrus. It is for this reason that we talk of ‘Egyptian’ form.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. A new algorithm for the expansion of Egyptian fractions
2. On the representation of a rational number as a sum of a fixed number of unit fractions;Rav;J. Reine j. Angew. Math.,1966
3. Sums of Distinct Divisors
Cited by
2 articles.
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1. Mathematics in Egypt: Mathematical Leather Roll;Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures;2016
2. Mathematics in Egypt: Mathematical Leather Roll;Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures;2014