Timeline for Positivity of the coefficients of the Ehrhart polynomial of a cross-polytope
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 5, 2019 at 2:28 | answer | added | T. Amdeberhan | timeline score: 1 | |
| Feb 11, 2019 at 3:45 | vote | accept | Richard Stanley | ||
| Feb 10, 2019 at 6:05 | answer | added | Brendan McKay | timeline score: 11 | |
| Feb 9, 2019 at 19:26 | comment | added | Alexander Chervov | It would be nice to include hyperlink to mentioned MO 35996 question mathoverflow.net/questions/35996/ehrhart-polynomial | |
| Feb 9, 2019 at 0:37 | comment | added | David Handelman | Now I see: $i_d (n)$ is supposed to be a polynomial itself in $x$. So ignore my remarks ... | |
| Feb 8, 2019 at 22:19 | comment | added | David Handelman | I don't understand the difficulty: 1/(1-x) has Maclaurin series with positive coefficients, so that so do all its powers (which are known anyway), and multiplying by $(1+x)^d$ preserves this. Since the radius of convergence of the thing on the right is $1$, uniqueness yields the result. Moreover, it also follows that the coefficients form a log concave sequence ... (since those of $1/(1-x)$ and of $1+x$ do). | |
| Feb 8, 2019 at 20:32 | comment | added | Richard Stanley | @SamHopkins: It is related but not so useful in answering my question, since positivity is proved by the same Theorem 3.2. | |
| Feb 8, 2019 at 20:25 | comment | added | Sam Hopkins | Possibly related?: mathoverflow.net/questions/308178/… | |
| Feb 8, 2019 at 20:13 | history | asked | Richard Stanley | CC BY-SA 4.0 |