Timeline for Positivity of a finite sum involving Stirling numbers of the first kind

9 events

when toggle format	what		by	license	comment
Nov 1, 2019 at 0:46	history	edited	Luis Ferroni	CC BY-SA 4.0	Undo last change due to a mistake.
Nov 1, 2019 at 0:33	history	edited	Luis Ferroni	CC BY-SA 4.0	I added a stronger statement that may be (or not) easier to prove than the original one.
Oct 31, 2019 at 16:33	comment	added	Luis Ferroni		Hi Rene, indeed in the original post it already says it is a repost. It happens that the difficulty of the question I think fits better here rather than MSE.
Oct 31, 2019 at 15:46	comment	added	René Gy		This is repost from math.stackexchange
Oct 30, 2019 at 15:35	comment	added	Luis Ferroni		I forgot to add, to avoid carrying denominators, $S(k,n,m)$ is multiplied by $(n-1)!$.
Oct 30, 2019 at 15:25	comment	added	Luis Ferroni		Let $P_{k,n}(t)$ the coefficient of $x^{kt}$ in $(1+x+\ldots+x^t)^n$. You can easily prove this is indeed a polynomial. The number $S(k,n,m)$ would be the coefficient of $t^m$ in $P_{k,n}(t)$.
Oct 30, 2019 at 15:07	comment	added	Fedor Petrov		Would you please write the polynomials also?
Oct 30, 2019 at 14:55	review	First posts
Oct 30, 2019 at 15:43
Oct 30, 2019 at 14:50	history	asked	Luis Ferroni	CC BY-SA 4.0