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10
2017 Algebra #10
2017 Algebra #10
Source:
August 20, 2022
2017
Algebra Test
Problem Statement
Let
ζ
=
e
2
π
i
/
36
\zeta=e^{2\pi i/36}
ζ
=
e
2
πi
/36
. Compute
∏
gcd
(
a
,
36
)
=
1
a
=
1
35
(
ζ
a
−
2
)
.
\prod_{\stackrel{a=1}{\gcd(a,36)=1}}^{35}(\zeta^a-2).
g
c
d
(
a
,
36
)
=
1
a
=
1
∏
35
(
ζ
a
−
2
)
.
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