/sci/ - Science & Math » Thread #13765035

26KiB, 500x328, RiemannZetaReImAbs.gif

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reiman zeta function general

Anonymous Mon 18 Oct 20:19:58 2021 No.13765035 View Reply Original Report

Quoted By: >>13766749

proof edition: post and discuss proofs relating to the reiman zeta function

Anonymous

View Same Google iqdb SauceNAO robbins theorem.png, 25KiB, 1034x162

Anonymous Mon 18 Oct 2021 20:23:53 No.13765052 Report

Quoted By: >>13766420

Saw some guy post this two years ago, no idea how true it is

Anonymous

Anonymous Tue 19 Oct 2021 01:18:31 No.13766420 Report

Quoted By: >>13767662

>>13765052
Yes that's true, Robin's inequality is an equivalent statement to the RH. A couple others I know are

(i)
For any $\epsilon > 0, \sum_{n \leq x}\mu(n)=O(x^{\frac{1}{2}+\epsilon})$

(ii)
$\pi(x)=\text{li}(x)+O(\sqrt{x}\log(x))$

Anonymous

Anonymous Tue 19 Oct 2021 02:57:15 No.13766749 Report

Quoted By: >>13767678

>>13765035
>reiman
I'm sure this thread will be filled with well informed geniuses.

Anonymous

Anonymous Tue 19 Oct 2021 09:07:22 No.13767662 Report

Quoted By: >>13768421

>>13766420
I am not into maths at all just lurk mostly on /sci/ and pick up a few stuff, and from my perspective its crazy how a complex hypothesis like RH can be equivalent to much simpler statements like that

Anonymous

Anonymous Tue 19 Oct 2021 09:20:08 No.13767678 Report

Quoted By:

>>13766749
This. I can overlook that as ESLspeak, but, I mean, it's literally right there in the image name OP is attaching to the post. :-/

Anonymous

Anonymous Tue 19 Oct 2021 15:31:17 No.13768421 Report

Quoted By:

>>13767662
>a complex hypothesis like RH
the statement itself is not complex, its trying to prove it. The RH is simply:

$\zeta(s) = 0 \Longrightarrow \text{Re}(s)=\frac{1}{2}$

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