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6
MMATHS 2023 Individual Problem 6: Cosine double summation
MMATHS 2023 Individual Problem 6: Cosine double summation
Source:
September 23, 2024
Yale
MMATHS
Problem Statement
Compute
∣
∑
i
=
1
2022
∑
j
=
1
2022
cos
(
i
j
π
2023
)
∣
.
\left|\sum_{i=1}^{2022} \sum_{j=1}^{2022} \cos\left(\frac{ij\pi}{2023}\right)\right|.
∑
i
=
1
2022
∑
j
=
1
2022
cos
(
2023
ijπ
)
.
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