Let with

Prove that:

[Hint: It suffices to prove the equation above for powers of prime numbers (Why?)]

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- July 23rd 2013, 04:34 PMyounghorseySum of Positive Divisors Function

Let with

Prove that:

[Hint: It suffices to prove the equation above for powers of prime numbers (Why?)] - July 23rd 2013, 07:41 PMchiroRe: Sum of Positive Divisors Function
Hey younghorsey.

What is v(d)? Is this some kind of special analytic number theory function? - July 24th 2013, 08:26 AMyounghorseyRe: Sum of Positive Divisors Function
Hey chiro.

- July 24th 2013, 06:40 PMchiroRe: Sum of Positive Divisors Function
I don't know enough number theory to help you on this one.

What I would recommend you do is collect as many identities as possible and put them all in the one place: this will help you see the connections a lot quicker and should help you solve your problem quicker than say a less structured approach.

If you have all the identities and theorems on a few pages the connections should pop out. - July 26th 2013, 03:25 PMjohngRe: Sum of Positive Divisors Function
Hi,

The attachment provides a proof. I've left the proofs of several relevant facts to you.

Attachment 28905