# Let ω ≠ 1 be a cube root of unity. Then the minimum of the set {|a + bω + cω^2|^2 : a, b, c distinct nonzero integers} equals ____

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Let ω  1 be a cube root of unity. Then the minimum of the set {|a + bω + cω2|2 : a, b, c distinct nonzero integers} equals ____

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∵ a, b, c are distinct non-zero integers.

For minimum value a = 1, b = 2 and c = 3.

Minimum value = 1/2{1+1+4+}= 3

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