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Principal root of unity
ID: principal-root-of-unity
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Principal root of unity
by
Wikipedia Bot
0
1970-01-01
The principal
root of unity
specifically refers to the
complex numbers
that satisfy the
equation
\(
z
^
n
=
1
\) for
a
positive
integer
\(
n \)
. These
roots
have the form: \[
z
_
k
= e^{
2
\
pi
i
k
/
n
} \] for \(
k
=
0
,
1
,
2
, \ldots,
n
-
1 \)
.
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