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
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 12, 2015 at 6:14 | comment | added | Anthony Quas | So I'm pretty sure the same kind of arguments should work. Morally you have made a polynomial change to the weights while the set is exponentially small. My approach to this would be to replace the weights $n^{-\alpha}$ with $b^{-k\alpha}$ in the range $[b^{k-1},b^k)$. This is changing the weights by at most a bounded factor. | |
| Jul 11, 2015 at 6:26 | comment | added | Salvo Tringali | I've just given it a try. | |
| Jul 9, 2015 at 22:07 | comment | added | Anthony Quas | In this case, maybe it would be useful to frame the question in terms of the properties that you actually are willing to use. | |
| Jul 9, 2015 at 21:53 | comment | added | Salvo Tringali | Yes, but this is precisely the kind of argument that I want to avoid (see my comment above). | |
| Jul 9, 2015 at 21:46 | history | answered | Anthony Quas | CC BY-SA 3.0 |