Timeline for Smallest $S\subset \mathbb C$ on which no degree $k$ polynomial always vanishes?
Current License: CC BY-SA 4.0
4 events
when toggle format | what | by | license | comment | |
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Feb 27, 2020 at 7:12 | comment | added | Fedor Petrov | ... and the same trick works for any $k$ | |
Feb 27, 2020 at 7:00 | comment | added | Fedor Petrov | moreover, $n+1$ do not suffice for $k=2$ and any set $A$ of size $n+1$. Consider the polynomial $x_1^2+\ldots+x_n^2+(x_1+\ldots+x_n-s)^2-t$, where $s=\sum_{a\in A} s$, $t=\sum_{a\in A} a^2$. | |
Feb 22, 2020 at 11:56 | comment | added | Louis Deaett | Oh, nice. Now I'm not sure whether I suspect the bound can be met in general. | |
Feb 22, 2020 at 6:30 | history | answered | Aaron Meyerowitz | CC BY-SA 4.0 |