MathDB

A5

Part of 1948 Putnam

Problems(1)

Putnam 1948 A5

Source: Putnam 1948

3/15/2022
If ξ1,…,ξn\xi_1,\ldots,\xi_n denote the nn-th roots of unity, evaluate ∏1≤i<j≤n(ξi−ξj)2.\prod_{1\leq i<j \leq n} (\xi_{i}-\xi_j )^2 .
Putnamcomplex numbers