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  3. we define the liouville function ?(n) by setting ?

We define the Liouville function ?(n) by setting ?(1)=1. If n>1, we consider the prime power...

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Advance Math

We define the Liouville function ?(n) by setting ?(1)=1. Ifn>1, we consider the prime power factorization n=p_1^(a_1 )p_2^(a_2 )…p_m^(a_m ) and define ?(n)=(-1)^(a_1+a_2+?+a_m ) Provethat the summatory function of ?,?(n)=?_d|n????(d)? ismultiplicative.

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