Problem A. 801. (May 2021)
A. 801. For which values of positive integer \(\displaystyle m\) is it possible to find polynomials \(\displaystyle p,q\in \mathbb{C}[x]\) with degrees at least two such that \(\displaystyle x(x+1)\cdots(x+m-1) =p\big(q(x)\big)\)?
Submitted by Navid Safaei, Tehran
(7 pont)
Deadline expired on June 10, 2021.
Sorry, the solution is available only in Hungarian. Google translation
Statistics:
2 students sent a solution. 7 points: Füredi Erik Benjámin. 2 points: 1 student.
Problems in Mathematics of KöMaL, May 2021