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2022 CHMMC Winter (2022-23)
10
10
Part of
2022 CHMMC Winter (2022-23)
Problems
(1)
CHMMC 2022 Winter / 2022-23 Team #10
Source:
8/10/2023
Suppose that
ξ
≠
1
\xi \ne 1
ξ
=
1
is a root of the polynomial
f
(
x
)
=
x
167
−
1
f(x) = x^{167} -1
f
(
x
)
=
x
167
−
1
. Compute \left|\sum_{0
a
,
b
a,b
a
,
b
are integers
algebra