For show where is the number of divisors of .

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- Jun 7th 2010, 05:37 PMchiph588@Riemann Zeta Identity
For show where is the number of divisors of .

- Jun 7th 2010, 08:39 PMsimplependulum
If then

and

and the sum

Since

By taking derivative ,

Then

Let

we have

Therefore ,

since

* denotes the set of all prime numbers .