Timeline for factorization of polynomials wrt the major index stat

13 events

when toggle format	what		by	license	comment
Dec 5, 2016 at 21:34	vote	accept	T. Amdeberhan
Dec 5, 2016 at 21:17	comment	added	Fedor Petrov		Is not my counterexample to maj version correct? For a permutation $(k+2,\dots,n,1,\dots,k+1)$ we get $x$ in too small power, no?
Dec 5, 2016 at 18:45	comment	added	T. Amdeberhan		Sure. We'll check then.
Dec 5, 2016 at 16:56	comment	added	Fedor Petrov		Now I start to doubt that it is true for maj, please see my answer.
Dec 5, 2016 at 15:00	comment	added	T. Amdeberhan		Thanks, Fedor. In that case, we need more work for the "maj" problem.
Dec 5, 2016 at 14:58	comment	added	Fedor Petrov		For $k=1$ even the common distribution of $(maj,\pi_n)$ is the same as a common distribution of $(inv,\pi_n)$. For $k=2$ the common distribution of $(maj,\pi_{n-1}+\pi_n)$ is not already the same as a common distribution of $(inv,\pi_{n-1}+\pi_n)$, which may be seen from the case $\pi_{n-1}+\pi_n=2n-1$.
Dec 3, 2016 at 19:33	history	edited	T. Amdeberhan	CC BY-SA 3.0	added 5 characters in body
Dec 3, 2016 at 18:15	history	edited	T. Amdeberhan	CC BY-SA 3.0	added 11 characters in body
Dec 3, 2016 at 17:01	history	edited	T. Amdeberhan	CC BY-SA 3.0	added 473 characters in body
Dec 3, 2016 at 8:52	answer	added	Fedor Petrov		timeline score: 5
Dec 3, 2016 at 8:38	comment	added	Fedor Petrov		Why this replacement does not affect $Q$?
Dec 3, 2016 at 5:53	history	edited	T. Amdeberhan	CC BY-SA 3.0	added 95 characters in body
Dec 3, 2016 at 5:48	history	asked	T. Amdeberhan	CC BY-SA 3.0