The coolest infinite series on YouTube!!!

A wonderful generalized result using the Riemann zeta function.

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[par]

As a physics person, there's something satisfying about having all greek letters in an answer

[RandomBurfness]

I think the final result would've been even nicer had it been written like S_φ = (1 - φ)(γ+Ψ(1/φ^2)), because it gets rid of the awkward leading negation sign. :P

[CM_France]

Hi,

"Ok, cool" : 0:28, 5:50, 6:18, 8:34 .

"Terribly sorry about that" : 11:03 .

[KramRemin]

Kamal getting romantic with his integrals:
"Why is this so hard to write?"
Soon to be followed by:
"I don't know how . . . .to integrate you."

[tsa_gamer]

"Sum up to billion terms and approximate the final result. Yes that would be fun" 😂

[egoreremeev]

Now prove that you can switch the order of integration and summation in this case

[digxx]

Why not just use the definition of the zeta function in terms of the series and switch the order of summation? It's a 3-liner...

[dukenukem]

This is really cool! I need to prove the functional relation equation at 1:45 to truly appreciate it though...

[dogukanbirinci]

Can you take the definite integral of arcsinx/x from 0 to 1?

[borhenbouchniba]

Hello Sir, Can You Give us all Methods to solve all or many problems in equation differential and integral and series and other thing, Thanks.

[jimschneider]

@3:37 - what, not even a mention of Fubini's theorem? And here I thought this channel was all about rigor. What are you, some kind of physicist?😆

[BlackHattie]

We can utilize primes into one by collatz 505

[rayquazabtc]

Sir can you explain us schrodinger equation how to solve it

[aravindakannank.s.]

i saw something similar like this in a video sequence and series (ss-198) in cipher yt channel .
which i tought is cool
but this is way cooler😌😊

[BlackHattie]

I ask only because i need coop. Pls ansver the call..

[deweiter]

Didn't you already made about this video two months ago? I mean, the only difference is that in previous video a was equal 1/x, and the whole series was divided by x

[fahadibrar]

Sir plz recommend me for some books which contains some tough integral problems 😢

[BlackHattie]

If ypu want to help me i will apreciate it

[BlackHattie]

I made it to the end, And o int A No nothing Except divisibility rules, Sorry

[BlackHattie]

The hars stuf is it will be no Dx... No int A No nothing Except divisibility rules, Sorry