Möbius function

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Möbius function

[′mər·bē·əs ‚fəŋk·shən]
(mathematics)
The function μ of the positive integers where μ(1) = 1, μ(n) = (-1) r if n factors into r distinct primes, and μ(n) = 0 otherwise; also, μ(n) is the sum of the primitive n th roots of unity.