Timeline for On the nearest integer to $\zeta(1-1/B),B \ge 2$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 27, 2021 at 6:25 | vote | accept | joro | ||
| Sep 26, 2021 at 22:30 | comment | added | Joshua Stucky | @მამუკაჯიბლაძე In problems like these where explicit estimates are needed, there's always a balance to strike between technical simplicity and range of applicability. I'm sure there's a proof that works for these small values, but it's (likely) not going to be as neat as the method I used. Such technical scruples would probably only obscure or complicate the analysis, rather than simplifying it. Since there are so few exceptional cases to check, I think technical simplicity and aesthetically pleasing inequalities are preferable to having a wider range of applicability. | |
| Sep 26, 2021 at 7:50 | comment | added | მამუკა ჯიბლაძე | (In fact these fractional parts seem to monotonously converge to $1-\gamma$) | |
| Sep 26, 2021 at 5:37 | comment | added | მამუკა ჯიბლაძე | Fractional parts seem to decrease, this might suggest a proof working for these cases too...$$\begin{array}{rl}1 & -0.5 \\ 2 & -1.46035 \\ 3 & -2.44758 \\ 4 & -3.44129 \\ 5 & -4.43754 \\ 6 & -5.43505 \\ 7 & -6.43328 \\ 8 & -7.43196 \\ 9 & -8.43093 \\ 10 & -9.43011 \\ 11 & -10.4294 \\ 12 & -11.4289 \\ 13 & -12.4284 \\ 14 & -13.428 \\ 15 & -14.4277 \\ 16 & -15.4274 \\ 17 & -16.4271 \\ 18 & -17.4268 \\ 19 & -18.4266 \\ 20 & -19.4264 \\ 21 & -20.4263 \\ 22 & -21.4261 \\ 23 & -22.426 \\ 24 & -23.4258 \\ 25 & -24.4257 \\ 26 & -25.4256\end{array}$$ | |
| Sep 26, 2021 at 5:30 | history | edited | Joshua Stucky | CC BY-SA 4.0 |
made some simplifications and took out unnecessary details
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| Sep 26, 2021 at 5:25 | history | edited | Joshua Stucky | CC BY-SA 4.0 |
made some simplifications and took out unnecessary details
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| Sep 26, 2021 at 5:17 | history | edited | Joshua Stucky | CC BY-SA 4.0 |
made some simplifications and took out unnecessary details
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| Sep 25, 2021 at 20:38 | history | answered | Joshua Stucky | CC BY-SA 4.0 |