At last Riemann Hypothesis is proved

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Dear Science Community,

I am pleased to present my proof of the Riemann Hypothesis. After 10 years of research and experimentation, I have successfully demonstrated that the Riemann Hypothesis is true. My proof is based on harmonic conjugate of zeta function and its functional equation.

The Riemann hypothesis has been proven in three different ways, each with varying levels of complexity. One approach involves utilizing the functional equation and introducing the concept of the Delta function and the periodic harmonic conjugate of the Gamma and Delta functions, similar to the Gamma and Pi functions. The other two proofs are derived using Euler's formula and elementary algebra. By analytically continuing the zeta function to an extended domain, the poles and zeros of zeta values are redefined. Furthermore, other prime conjectures such as the Goldbach conjecture and the Twin prime conjecture have been proven based on a new understanding of primes and numbers as three-dimensional entities, as elucidated by Hamilton's four-dimensional quaternions. The imaginary number iota is defined as the natural logarithm of two, and the logarithm of negative and complex numbers is redefined using an extended number system. Additionally, the factorial of negative and complex numbers is redefined through the use of the Delta function and the periodic harmonic conjugate of the Gamma and Delta functions.

The Riemann Hypothesis is one of the most important unsolved problems in mathematics. Its proof has eluded mathematicians for over a century. My proof not only solves this problem but also opens up new avenues of research in the field of mathematics.

The implications of my proof are far-reaching. It has the potential to revolutionize the way we think about prime numbers and their distribution in the number line. It could also have applications in other fields such as physics, computer science, and engineering.

I am sharing my proof with the science community in the hope that it will inspire others to build on my work and advance the field of mathematics. I am not seeking any monetary compensation for my work. My only goal is to contribute to the advancement of humankind.

Thank you for your attention.

[RSLT]

Big congrats on cracking the Riemann Hypothesis! Your approach with the zeta function is pretty cool. The impact on prime numbers and other fields is exciting stuff. Good luck sharing your work! Throw in some hashtags for more visibility. Your passion for advancing knowledge without asking for cash is awesome. Nice one, and good luck ahead

[mothrahlurker]

Just to prevent people being misled by this video. This isn't a proof. Apart from the many many red flags, such as talking about dozens of famous problems, citing wikipedia and youtube, not even attempting a peer review process and many others, there are obvious factual errors here.

The most important one is that the problem is impossible to even formulate without extending the domain of the series in question, because the critical strip (which is what the entire problem is about) is completely outside the region where this series converges. Not converging here means that the series doesn't define any value of the zeta-function for these inputs. Therefore, you need to use an extension method (such as through the Gamma function) to formulate the problem of zeroes in critical strip. No amount of "I visualized the problem" could possibly replace this.


Secondly, an easy thing for everyone to check is at 9:48 where is says "zeta(1)=1", which is just a blatantly nonsensical claim, as 1 is a pole of order 1 of the zeta function. This means that zeta(1) is not defined and you can't possibly define it, as a complex number, as that would imply that the order of the pole is 0. Just putting zeta(1) in e.g. Wolfram-Alpha or checking the wikipedia article will confirm that.

[landsgevaer]

Wanna bet Riemann has not been solved!?

[aryanahire]

I stumbled upon your video on YouTube, and I am interested in mathematics. I am currently in 8th grade and learning real analysis from Rudin. I want to become a mathematician one day, and I would love your advice on learning more.

[niladrikarmakar]

Fantastic work, i hope you are successful in drawing attention to it.

[TheHellBoy]

good for you bhai. lets hope this goes viral

[kilogods]

Bro.. why are you talking about climate change and astronomical data in a mathematics paper? LOL

[anuragkr]

Havw you tried to submit this to officials?

[KaustuvMVA]

darun kaj. submit korun review er jonno kono journal e