Timeline for Polynomials $P$ with integer roots near to $X^{\mathrm{deg}(P)}$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 5, 2017 at 8:26 | comment | added | Peter Mueller | @GerryMyerson You are right, I didn't know about this problem. | |
| Dec 4, 2017 at 22:30 | comment | added | Gerry Myerson | Isn't $r=d$ just the Tarry-Escott problem? | |
| Dec 4, 2017 at 20:42 | comment | added | Johann Franke | Wow, this is pretty awesome! Thank you! | |
| Dec 4, 2017 at 20:41 | vote | accept | Johann Franke | ||
| Dec 4, 2017 at 16:57 | comment | added | Peter Mueller | I'm wondering if actually $r=d$ is possible (not by this beautiful pigeon hole argument of course). At least it works for $d\le6$. For instance, for $d=6$, set $P(X)=(X-1)(X-2)(X-10)(X-12)(X-20)(X-21)$ and $Q(X)=X(X-5)(X-6)(X-16)(X-17))(X-22)$. Then $P(X)-Q(X)=100800$. | |
| Dec 4, 2017 at 14:20 | history | answered | js21 | CC BY-SA 3.0 |