Timeline for On the upper Banach density of the set of positive integers whose base-$b$ representation misses at least one prescribed digit
Current License: CC BY-SA 3.0
10 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jul 11, 2015 at 10:38 | comment | added | Salvo Tringali | @NikitaSidorov: Do you still think the same, after the edit? If so, I'm interested. Btw, the scenario considered in the OP is not really the most general one that I've in mind, but should be already large enough to rule out any approach purely based on the analysis of the asymptotic behavior of the counting fnc of $X$ (as per Anthony Quas' answer below). | |
| Jul 11, 2015 at 6:23 | history | edited | Salvo Tringali | CC BY-SA 3.0 |
Fixed a typo in the title and hopefully clarified the question
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| Jul 11, 2015 at 6:18 | history | edited | Salvo Tringali | CC BY-SA 3.0 |
Fixed a typo in the title and hopefully clarified the question
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| Jul 9, 2015 at 22:04 | comment | added | Nikita Sidorov | All this is just tiptoeing around the well known fact that the Hausdorff (or any) dimension of X is less than 1. (Specifically, it is equal to $\log |A|/\log b$.) | |
| Jul 9, 2015 at 21:46 | answer | added | Anthony Quas | timeline score: 2 | |
| Jul 9, 2015 at 21:41 | comment | added | Salvo Tringali | I should probably mention that I haven't even tried to estimate the counting function, $\pi_X$, of $X$ (which is almost surely doable), as I'm interested in a kind of scenario where the understanding of the asymptotic behavior of $\pi_X$ is not likely to help. | |
| Jul 9, 2015 at 19:47 | history | edited | Salvo Tringali | CC BY-SA 3.0 |
Added some information to make the OP more readable
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| Jul 9, 2015 at 19:31 | history | edited | Salvo Tringali | CC BY-SA 3.0 |
edited title
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| Jul 9, 2015 at 19:24 | history | asked | Salvo Tringali | CC BY-SA 3.0 |