Timeline for Is this determinant well-known?
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| Jan 3, 2020 at 2:58 | comment | added | Tomas | @NoamD.Elkies. Thank you very much. I'm very interested in the case $n=k+1$, where I want to know if there is an explicit and simple formula, but I cannot find any similar questions in MO. | |
| Dec 31, 2019 at 3:34 | comment | added | Noam D. Elkies | What do you want to know about these determinants? Sticking to $D(n,k)$, we easily have $D_{n,k}=0$ if $n>k+1$, and there seems to be a nice factorization for $D_{k+1,k}$; also there have been several Mathoverflow questions and answers about the sign of $D_{n,k}$, even for $k \notin \bf Z$. On the other hand if you fix $n$ and vary $k$ it's some complicated signed sum of $n!$ or so $k$-th powers. | |
| Dec 31, 2019 at 3:23 | history | asked | Tomas | CC BY-SA 4.0 |