MathDB

1

Part of 2020 Benelux

Problems(1)

Benelux Olympiad 2020, Problem 1 (polynomials attaining unit values)

Source: BxMO 2020, Problem 1

5/2/2020
Find all positive integers dd with the following property: there exists a polynomial PP of degree dd with integer coefficients such that ∣P(m)∣=1\left|P(m)\right|=1 for at least d+1d+1 different integers mm.
algebraBxMOBenelux