MathDB
Putnam 1973 B2

Source: Putnam 1973

May 25, 2022
Putnamcomplex numbersrational number

Problem Statement

Let z=x+yiz=x+yi be a complex number with xx and yy rational and with ∣z∣=1.|z|=1. Prove that the number ∣z2n−1∣|z^{2n} -1| is rational for every integer nn.
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