A way to remove duplication from \(\sum_{i=1}^ N 1/x_ i\) (Q1924249)
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scientific article; zbMATH DE number 935003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A way to remove duplication from \(\sum_{i=1}^ N 1/x_ i\) |
scientific article; zbMATH DE number 935003 |
Statements
A way to remove duplication from \(\sum_{i=1}^ N 1/x_ i\) (English)
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14 October 1996
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If a positive rational less than 1 can be expressed as a sum of positive integer reciprocals, then it can be so expressed with all reciprocals distinct and no increase in the number of terms. The constructive proof yields a practical process of Egyptian fraction representations.
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rational numbers as sums of reciprocals
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Egyptian fraction representations
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