On a problem related to Egyptian fractions
Let S be a sum of irreducible fractions with distinct denominators. In this note we give necessary and sufficient conditions for the sum S to be an integer. The method can be a starting point for generalizations of some problems connected to Egyptian fractions. In this direction we propose a general...
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| Veröffentlicht in: | Bulletin mathématiques de la Société des sciences mathématiques de Roumanie 2021-01, Vol.64 (112) (4), p.401-411 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let S be a sum of irreducible fractions with distinct denominators. In this note we give necessary and sufficient conditions for the sum S to be an integer. The method can be a starting point for generalizations of some problems connected to Egyptian fractions. In this direction we propose a generalization of two classical results of Erdös and Oblath. |
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| ISSN: | 1220-3874 2065-0264 |