12 Liouvilles arithmetic function is defined by (n) 1, n 1 (1)e1 ek , n pe1 1 pek k Prove that d n (d) 1 if n is a square 0 otherwise ...

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=+12. Liouvilles arithmetic function is defined by (n) = * 1, n = 1 (1)e1++ek , n

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=+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

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

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Applied Probability

ISBN: 9781441971647

2nd Edition

Authors: Kenneth Lange

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Question Posted: Nov 01, 2024 06:00 AM

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=+12. Liouvilles arithmetic function is defined by (n) = * 1, n = 1 (1)e1++ek , n = pe1 1 pek k . Prove that d|n (d) = %1 if n is a square 0 otherwise.
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=+12. Liouvilles arithmetic function is defined by (n) = * 1, n = 1 (1)e1++ek , n

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Applied Probability

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