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Analytic Number Theory Question: Prove the following statements: 1.) The number of distinct prime factors (n) is additive and 2^ ( n ) is multiplicative.
Analytic Number Theory Question:
Prove the following statements:
1.) The number of distinct prime factors (n) is additive and 2^(n) is multiplicative.
2.) The total number of prime factors(n) is completely additive.
3.) The Liouville function(n) is completely multiplicative.
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