MathDB

polynomial

Source: 36-th Vietnamese Mathematical Olympiad 1998

February 17, 2007

algebrapolynomialalgebra unsolved

Problem Statement

Find all positive integer

n

such that there exists a

P\in\mathbb{R}[x]

satisfying

P(x^{1998}-x^{-1998})=x^{n}-x^{-n}\forall x\in\mathbb{R}-\{0\}