I solved the Riemann Hypothesis?!? #shorts

Wait, did Dr Peyam really solve the Riemann hypothesis??? Watch this video and find out!

[uelssom]

Its easy to prove the Rieman Hypothesis: Was it proven or disproven? No, therefore it really is in fact, a hypothesis. qed

[obinator]

I solved it. But I don’t have any space to write it down.

[GrandMoffTarkinsTeaDispenser]

April fools, I did not solve the Riemann Hypothesis....


QUITE YET *glowing red eyes*

[jamesbra]

I actually solved it because I used analytic continuation to find all the residues then found that the residues were not periodic on the imaginary axis because testing its region of convergence at large intervals and then after some time it takes a logarithmic structure which is inherent in the high frequency spectrum of the primes and the fact that the closed contour after some time converges at a branch cut at Re 1/2 and Im 97!!. Residues increased periodically exponentially then increased factorially and then increased to at an open interval branch cut at double factorial complex logarithmically after some time.

[arshsverma]

That's a great solution, why did I never think of that!

[alexanderealley]

You might find this useful.
The answer to the Riemann Hypothesis is Infinity.
Infinity times infinity equals infinity to the power of infinity.
Infinity squared equals infinity to the power of infinity.
If 2 is a prime then so is infinity.
You are all welcome.

[Test-zdmp]

I have found an elegant proof, however it doesn‘t quite fit the page.

[tadeuszblichowski]

I like your enthusiasm and math perfection all the time, keep that way. Best.

[Sxhdes]

Here’s answer of an alternating series without specifying the actual series in question. However, I will assume that you are referring to the series:

\[\sum_{n=1}^{\infty} (-1)^n \frac{1}{n^3}\]

Now, let's go through the steps to determine if this series converges.

Step 1: Identify the series and its general term.
The series in question is an alternating series, which can be written as:

\[\sum_{n=1}^{\infty} (-1)^n a_n\]

where \(a_n = \frac{1}{n^3}\).

Step 2: Check if the sequence \(a_n\) is monotonically decreasing.
For \(a_n = \frac{1}{n^3}\), as \(n\) increases, \(a_{n+1} = \frac{1}{(n+1)^3}\) will be smaller than \(a_n\) because the denominator is increasing. Therefore, \(a_n\) is monotonically decreasing.

Step 3: Determine the limit of \(a_n\) as \(n\) approaches infinity.
We need to find:

\[\lim_{n \to \infty} \frac{1}{n^3}\]

As \(n\) goes to infinity, \(n^3\) becomes infinitely large, making the fraction \(\frac{1}{n^3}\) approach 0.

Step 4: Apply the Alternating Series Test.
Since \(a_n\) is monotonically decreasing and \(\lim_{n \to \infty} a_n = 0\), the series satisfies the conditions of the Alternating Series Test.

**Conclusion:**
The series \(\sum_{n=1}^{\infty} (-1)^n \frac{1}{n^3}\) **converges** by the Alternating Series Test.

[jonathangrey]

anyone want to explain the joke at the end?

[unitefight]

The Riemann Hypothesis is that for every positive integer n greater than 1, the zeros of the complex Riemann zeta function occur in pairs whose real part is one-half.

[rockinroggenrola]

I wish you luck on solving the Riemann Hypothesis. And happy April Fools!

[dejremi]

As a French math-liking person, I approve the French maths joke by the great doctor peyam

[theproofessayist]

OMG Dr. Peyam! :) Best April Fools ever!

[anmoljawalia]

I solved Riemann Hypothesis --- Happy April Fool's Day


😆😅😂😂

[Idtelos]

And I was about to award you the Field's Medal...oh well..

[xviruzz_platinum]

Poisson means fish in french, in Italy we also say "Pesce d'Aprile", wich would literally mean "April's Fish". I dont know how english speakers will get the joke, because in english the sentence is different.
"April's Fools"

[nanamacapagal]

Someone on Papa Flammy's channel said they had a proof of the Riemann Hypothesis but they needed the sauce of the doujins on their shelf to complete it. Best of luck to them 🙏

[jarvisstark]

What's wrong by multiplying both sides by zero and hence qed?

[fahad-xi-a]

I did not solve Riemann hypothesis QUITE YET. Therefore you are trying to solve it and are near to solving it.
Is it possible that that I might hear in 2022 as a news headline " Professor Pyeam is awarded a fields medal and Abel prize for cracking Riemann hypothesis".