Timeline for a Vandermonde-type of determinants summed over permutations
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 28, 2021 at 15:33 | comment | added | Max Alekseyev | In fact, $\sum_\sigma \mathrm{sgn}(\sigma) f(x_\sigma)$ is an alternating polynomial for any polynomial $f$. Hence, it is always a multiple of Vandermonde polynomial $V(x)$, and their ratio in general is a symmetric polynomial. | |
| Jul 26, 2021 at 21:27 | answer | added | Max Alekseyev | timeline score: 2 | |
| Mar 4, 2021 at 20:09 | comment | added | Marcel | I believe $c(8)=114397920$. This number has 97 as a prime factor, which suggests a very simple formula for $c(n)$ is unlikely | |
| Mar 4, 2021 at 20:01 | comment | added | Marcel | Since you already know they are proportional, a possible approach would be to compute $D$ at some very special set of values of the $a$'s, like $a_i=i$ or something like that | |
| Mar 4, 2021 at 18:24 | history | edited | Fan Ge | CC BY-SA 4.0 |
added 138 characters in body
|
| Mar 4, 2021 at 16:29 | history | edited | Fan Ge | CC BY-SA 4.0 |
added 60 characters in body
|
| Mar 4, 2021 at 16:24 | history | edited | Fan Ge | CC BY-SA 4.0 |
added 60 characters in body
|
| Mar 3, 2021 at 23:08 | history | edited | Fan Ge | CC BY-SA 4.0 |
added 5 characters in body; edited tags
|
| Mar 2, 2021 at 23:38 | review | First posts | |||
| Mar 3, 2021 at 3:34 | |||||
| Mar 2, 2021 at 23:32 | history | asked | Fan Ge | CC BY-SA 4.0 |