Timeline for Values of the determinants $\det[|j-k|]_{1\le j,k\le n}$ and $\det[|j^2-k^2|]_{1\le j,k\le n}$
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 28, 2021 at 19:13 | answer | added | T. Amdeberhan | timeline score: 1 | |
| Aug 28, 2021 at 9:12 | comment | added | Zhi-Wei Sun | After discussion with Prof. Bao-Xuan Zhu, we have got the following general formula: $$\det[|x_j-x_k|]_{1\le j,k\le n}=2^{n-2}(x_1-x_2)\cdots(x_{n-1}-x_{n})(x_n-x_1),$$ where $x_1<\ldots<x_n$. Both $(1)$ and $(2)$ follow from this general formula. | |
| Aug 28, 2021 at 9:03 | answer | added | Thomas Kalinowski | timeline score: 5 | |
| Aug 28, 2021 at 7:24 | history | asked | Zhi-Wei Sun | CC BY-SA 4.0 |