Continued fractions as sums of unit fractions (Q2777538)
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scientific article; zbMATH DE number 1717399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continued fractions as sums of unit fractions |
scientific article; zbMATH DE number 1717399 |
Statements
7 March 2002
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continued fraction
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Egyptian fraction
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Erdős-Straus conjecture
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Continued fractions as sums of unit fractions (English)
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\textit{G. J. Rieger} [Fibonacci Q. 31, No. 4, 338-340 (1993; Zbl 0786.11005)] showed that for any given positive integer \(m\) there exists a simple continued fraction of length \(m\) which is the sum or difference, respectively, of two unit fractions. In the present paper these investigations are continued. In particular, the authors give a characterization of continued fractions which are the sum or difference of two unit fractions.
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