Question: =+12. Liouvilles arithmetic function is defined by (n) = * 1, n = 1 (1)e1++ek , n = pe1 1 pek k . Prove

=+12. Liouville’s arithmetic function is defined by

λ(n) = * 1, n = 1

(−1)e1+···+ek , n = pe1 1 ··· pek k .

Prove that



d|n

λ

(d) = %1 if n is a square 0 otherwise.

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