MathDB

A2

Part of 1959 Putnam

Problems(1)

Old Seemingly Simple Putnam Problem

Source: 1959 Putnam

10/28/2020
"Let ω3=1,ω≠1\omega^3 = 1, \omega \neq 1. Show thatz1,z2,−ωz1,−ω2z2z_1, z_2, -\omega z_1, -\omega^2z_2 are the vertices of an equilateral triangle."
Putnam