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Putnam
1948 Putnam
A5
A5
Part of
1948 Putnam
Problems
(1)
Putnam 1948 A5
Source: Putnam 1948
3/15/2022
If
ξ
1
,
…
,
ξ
n
\xi_1,\ldots,\xi_n
ξ
1
,
…
,
ξ
n
denote the
n
n
n
-th roots of unity, evaluate
∏
1
≤
i
<
j
≤
n
(
ξ
i
−
ξ
j
)
2
.
\prod_{1\leq i<j \leq n} (\xi_{i}-\xi_j )^2 .
1
≤
i
<
j
≤
n
∏
(
ξ
i
−
ξ
j
)
2
.
Putnam
complex numbers