Timeline for Are there numbers whose binary and ternary representations simultaneously have few digit transitions? How frequent are those numbers?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Nov 24, 2020 at 22:52 | vote | accept | Bogdan | ||
| Nov 24, 2020 at 17:06 | answer | added | Terry Tao | timeline score: 14 | |
| Nov 24, 2020 at 15:41 | comment | added | Bogdan | @LSpice I have rephrased that! I am still not 100% certain what to believe since I'm not particularly familiar with the area. However, the numerical evidence is swaying me towards the suspicion that the value $c_2(k) + c_3(k)$ minimised over intervals of the form $(n, 2n)$ does, indeed, have a subsequence tending to infinity with $n$, albeit slowly. | |
| Nov 24, 2020 at 15:36 | history | edited | Bogdan | CC BY-SA 4.0 |
Changing phrasing of explanation after claim
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| Nov 24, 2020 at 15:17 | comment | added | LSpice | I found it confusing at a first read to see the conjecture stated in the way that you seem to believe is false. I wonder if it might be clearer to state the version that you seem to be believe is true? | |
| Nov 24, 2020 at 15:15 | history | edited | LSpice | CC BY-SA 4.0 |
TeX quotes to Unicode quotes; link to @StevenStadnicki's comment
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| Nov 24, 2020 at 15:12 | comment | added | Bogdan | @StevenStadnicki This is a good point, thanks! I've edited the text. | |
| Nov 24, 2020 at 15:10 | history | edited | Bogdan | CC BY-SA 4.0 |
Correcting error
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| Nov 23, 2020 at 23:18 | comment | added | Steven Stadnicki | Nitpickery: I believe your remark is only correct in base 2 and (maybe) 3; consider e.g. $2222221_4$. | |
| Nov 23, 2020 at 21:10 | history | edited | Bogdan | CC BY-SA 4.0 |
Update
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| Nov 23, 2020 at 17:37 | history | edited | Bogdan | CC BY-SA 4.0 |
Grammar.
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| Nov 23, 2020 at 17:32 | history | asked | Bogdan | CC BY-SA 4.0 |