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Miklós Schweitzer
2022 Miklós Schweitzer
6
6
Part of
2022 Miklós Schweitzer
Problems
(1)
Seventh circular field Q
Source: 2022 Miklós Schweitzer Problem 6
11/12/2022
Let
ϵ
\epsilon
ϵ
be a primitive seventh unit root. Which integers occur in
∣
α
∣
2
|\alpha|^2
∣
α
∣
2
in form, where
α
\alpha
α
is an element of the seventh circular field
Q
(
ϵ
)
\mathbb Q(\epsilon)
Q
(
ϵ
)
?
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