Roots of Unity Summing to One

2175ExpertComplex NumbersNumber Theory

62nd ROMANIAN MATHEMATICAL OLYMPIAD

Find all positive integers $n$ for which there exists three complex roots of order $n$ of the unity, not necessarily different, adding up to $1$.

0 students attempted0% solvedRating 2175

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2175ExpertComplex NumbersNumber Theory

62nd ROMANIAN MATHEMATICAL OLYMPIAD

Find all positive integers $n$ for which there exists three complex roots of order $n$ of the unity, not necessarily different, adding up to $1$.

0 students attempted0% solvedRating 2175