Timeline for Does there exist $k\ge2$ s.t. $X \subseteq \mathbf N^+$ has positive upper Banach density if the counting function of $X$ is $\gg n/\log^{[k]}(n)$?
Current License: CC BY-SA 3.0
6 events
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| Jun 19, 2015 at 16:31 | comment | added | Salvo Tringali | Yes, and I was thinking of cancelling the post after having discussed the question with Alain Plagne. Should I? I see now the idea I had in mind can't work in any case. | |
| Jun 19, 2015 at 16:30 | comment | added | Eric Naslund | Perhaps I am not understanding the question, but isn't the set $$A=\{n\lfloor\log^{[k]}(n)\rfloor : \ n\in\mathbb{N}\}$$ a counterexample for any $k$? | |
| Jun 19, 2015 at 15:23 | history | edited | Salvo Tringali | CC BY-SA 3.0 |
Fixed typo in the title
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| Jun 19, 2015 at 15:00 | history | edited | Salvo Tringali | CC BY-SA 3.0 |
Removed a useless assumption
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| Jun 19, 2015 at 14:50 | history | edited | Salvo Tringali | CC BY-SA 3.0 |
added 19 characters in body
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| Jun 19, 2015 at 14:45 | history | asked | Salvo Tringali | CC BY-SA 3.0 |