MathDB
number theory& polynomial

Source:

February 8, 2021
number theorypolynomialalgebra

Problem Statement

PP is an monic integer coefficient polynomial which has no integer roots. degP=nP=n and define AA :=:={v2(P(m))∣m∈Z,v2(P(m))≥1v_2(P(m))|m\in Z, v_2(P(m)) \ge 1}. If ∣A∣=n|A|=n, show that all of the elements of AA is smaller than 32n2\frac{3}{2}n^2.
Back to ProblemsView on AoPS