New user? Sign up

Existing user? Log in

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

Note by Chinmay Sangawadekar 2 years, 3 months ago

Easy Math Editor

*italics*

_italics_

**bold**

__bold__

- bulleted- list

1. numbered2. list

paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)

> This is a quote

This is a quote

# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

\sqrt{2}

\sum_{i=1}^3

\sin \theta

\boxed{123}

Sort by:

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

Log in to reply

how can we determine the value of s ?

proof please

I will show mine ...

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

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

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

Problem Loading...

Note Loading...

Set Loading...

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

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

Log in to reply

how can we determine the value of s ?

Log in to reply

proof please

I will show mine ...

Log in to reply

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

Log in to reply

Log in to reply

Log in to reply