MathDB
BMT 2013 Spring - Discrete 5

Source:

January 6, 2022
algebraPolynomials

Problem Statement

Consider the roots of the polynomial x201322013=0x^{2013}-2^{2013}=0. Some of these roots also satisfy xk2k=0x^k-2^k=0, for some integer k<2013k<2013. What is the product of this subset of roots?