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Function Maxima

Find the value of \( \displaystyle \sum_{n=1}^{\infty} \frac{\sigma_n}{n^{s}} \) in terms of \(s\).

Note by Chinmay Sangawadekar
1 year, 7 months ago

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\[\zeta(s)\zeta(s-n)\]

Aareyan Manzoor - 1 year, 7 months ago

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how can we determine the value of s ?

Chinmay Sangawadekar - 1 year, 7 months ago

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proof please

I will show mine ...

Chinmay Sangawadekar - 1 year, 7 months ago

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\[\sigma_a(n)=n^a*1\] conver to dirichlet series

Aareyan Manzoor - 1 year, 7 months ago

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@Aareyan Manzoor yep , but tell me can we find the value of s ?

Chinmay Sangawadekar - 1 year, 7 months ago

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@Chinmay Sangawadekar it ws a typo, i meant a.

Aareyan Manzoor - 1 year, 7 months ago

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