Calculus problem parties 2- Riemann Zeta Function

Hi Brilliant! Welcome to the second Calculus problem party! See this if you want to know about the first one. I've begun the party in order to improve the standards of Calculus problems on Brilliant.

Rules of posting the link:

Problems should belong to this topic itself. It may contain other topics.
Link must be in proper format, i.e, hyperlink should be hidden behind the name.
Every user should post at most 3 links.
The problems need not be your own problems.
You may post the links which others have posted. After all, it is your opinion.
Every problem should have a good concept/technique behind it.
Don't just randomly post the links. I will randomly ask you what's the concept behind the problem you posted.
Top 5 problems, i.e., which have been shared most number of times will be added to a special set.
The party ends on 22 June.
See this set for selected problems!

Note:

I won't be disclosing the topic of the next problem party as people will deliberately post problems of those topics.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> 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"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Calculus problem parties 2- Riemann Zeta Function

Comments