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On sums which are powers |
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| Authors: | K Gyarmati A Sárközy C L Stewart |
| Institution: | 1. Department of Algebra and Number Theory, E?tv?s Loránd University, H-1117, Budapest, Pázmány Péter Sétány 1/C, Hungary 2. Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 |
| Abstract: | The cardinality of sets A is estimated under the conditions that every element of the sum set A+A is a power resp. powerful number (n is said to be powerful if p n implies p 2 n). Subset sums with these properties are also studied. This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | Linnik's constant power powerful sequences Gallagher sieve |
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