Exercise 4.3.2 ($\mu(n) \mu(n+1) \mu(n+2) \mu(n+3) = 0$)

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Proof. One integer m among the four consecutive integers n , n + 1 , n + 2 , n + 3 is divisible by 4 , so m is not square free. Then μ ( m ) = 0 .

If n is a positive integer,

μ ( n ) μ ( n + 1 ) μ ( n + 2 ) μ ( n + 3 ) = 0 .

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2025-01-25 10:01
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