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2014 HMIC
4
2014 HMIC #4
2014 HMIC #4
Source:
December 26, 2016
Problem Statement
Let
ω
\omega
ω
be a root of unity and
f
f
f
be a polynomial with integer coefficients. Show that if
∣
f
(
ω
)
∣
=
1
|f(\omega)|=1
∣
f
(
ω
)
∣
=
1
, then
f
(
ω
)
f(\omega)
f
(
ω
)
is also a root of unity.
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