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A remark on a paper of Luca |
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| Authors: | Imre Kátai |
| Institution: | 10701. Computer Algebra Tanszék, E?tv?s Loránd University, Department of Computer Algebra,, Pázmány Péter sétány 1/c H-1117 Budapest, Pázmány Péter sétány 1, Hungary, HU–1117, Budapest |
| Abstract: | Summary It is proved that the set of those natural numbers which cannot be written as n-Ω(n) is of positive lower density. Here Ω(n) is the number of the prime power divisors of n. This is a refinement of a theorem of F. Luca. |
| Keywords: | prime power divisors exponential sums |
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