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2012 CHMMC Spring
6
2012 Spring Team #6
2012 Spring Team #6
Source:
March 20, 2022
algebra
Problem Statement
Compute
∏
k
=
1
12
(
∏
j
=
1
10
(
e
2
π
j
i
/
11
−
e
2
π
k
i
/
13
)
)
.
\prod^{12}_{k=1} \left(\prod^{10}_{j=1} \left(e^{2\pi ji/11} - e^{2\pi ki/13}\right) \right) .
k
=
1
∏
12
(
j
=
1
∏
10
(
e
2
πji
/11
−
e
2
πki
/13
)
)
.
(The notation
∏
k
=
a
b
f
(
k
)
\prod^{b}_{k=a}f(k)
∏
k
=
a
b
f
(
k
)
means the product
f
(
a
)
f
(
a
+
1
)
.
.
.
f
(
b
)
f(a)f(a + 1)... f(b)
f
(
a
)
f
(
a
+
1
)
...
f
(
b
)
.)
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