MathDB

Putnam 1975 A4

Source: Putnam 1975

February 17, 2022

Putnamroots of unity

Problem Statement

Let

m>1

be an odd integer. Let

n=2m

and \theta=e^{2\pi i\slash n}. Find integers

a_{1},\ldots,a_{k}

such that

\sum_{i=1}^{k}a_{i}\theta^{i}=\frac{1}{1-\theta}