MathDB
Do there exist 2022 polynomials of degree 2021?

Source: 2022 Abelkonkurransen Finale, Problem 4b

March 12, 2024
algebraPolynomials

Problem Statement

Do there exist 20222022 polynomials with real coefficients, each of degree equal to 20212021, so that the 2021ā‹…2022+12021 \cdot 2022 + 1 coefficients in their product are equal?