A positive integer n is said to be square-free if it is a finite product of distinct primes. We also consider 1 to be square-free For n E N, let ø(n) denote the number of distinct prime divisors of n, and define the arithmetic function µ on N (-1)«(") if n is square-free; µ(n) = otherwise Prove that EH(d) = S1 1 ifn=1 |0 ifn> 1 ulp

A positive integer n is said to be square-free if it is a finite product of distinct primes. We also consider 1 to be square-free For n E N, let ø(n) denote the number of distinct prime divisors of n, and define the arithmetic function µ on N (-1)«(") if n is square-free; µ(n) = otherwise Prove that EH(d) = S1 1 ifn=1 |0 ifn> 1 ulp

Name: A positive integer n is said to be square-free if it is a finite prod
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Description: A positive integer n is said to be square-free if it is a finite product of distinct primes. We alsoconsider 1 to be square-free For n E N, let ø(n) denote the number of distinct prime divisors of n,and define the arithmetic function µ on NJ(-1)(m)µ

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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