Diophantine equations involving factorials.
| Autor: | Alzer, Horst |
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| Další autoři: | |
| Jazyk: | angličtina |
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| Druh dokumentu: | Non-fiction |
| ISSN: | 0862-7959 |
| Abstrakt: | Abstract: We study the Diophantine equations (k!)^n - k^n = (n!)^k-n^k and (k!)^n +k^n = (n!)^k +n^k, where k and n are positive integers. We show that the first one holds if and only if k=n or (k,n)=(1,2),(2,1) and that the second one holds if and only if k=n. |
| Databáze: | Katalog Knihovny AV ČR |
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