Timeline for Identities involving derangements and roots of unity
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 12, 2022 at 15:20 | comment | added | Carlyle | Apologies for my silly question, I'm still at the beginning of my journey, but shouldn't the odd and even cases evaluate to the same value if you replace "n" by "n-1" in the right hand side of (2) ? Since the calculation we do for the odd case is exactly the calculation for the even case of the number one less than n? So if you name the sum/product S(n) then S(5) should equal S(4) for example? Or what am I missing? | |
| Jul 12, 2022 at 9:48 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Jun 7, 2022 at 5:18 | comment | added | Zhi-Wei Sun | $(1)$, $(2)$ and $(4)$ have just been proved by Prof. Xuejun Guo and his three PhD students, see arxiv.org/abs/2206.02592 . | |
| Jun 1, 2022 at 3:12 | answer | added | Keqin Liu 'Kevin' | timeline score: 1 | |
| Sep 4, 2021 at 7:52 | comment | added | Zhi-Wei Sun | I have just proved $(3)$ by making use of a known result of Calogero and Perelomov on eigenvalues. | |
| Sep 2, 2021 at 10:11 | comment | added | Zhi-Wei Sun | I know that there is a closed formula for $\det[\frac1{x_j-y_k}]_{1\le j,k\le n}$ due to Cauchy. | |
| Sep 2, 2021 at 10:05 | history | edited | Zhi-Wei Sun | CC BY-SA 4.0 |
added 3 characters in body
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| Sep 2, 2021 at 9:59 | history | edited | Zhi-Wei Sun | CC BY-SA 4.0 |
added 415 characters in body
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| Sep 2, 2021 at 9:02 | history | asked | Zhi-Wei Sun | CC BY-SA 4.0 |