The Riemann Hypothesis (HD Long Version)

Prime Number Gifts: http://artsnow.com/riemannhypothesis.

A visual portrait of the Riemann Hypothesis and historical background to the prime numbers: The Riemann Zeta Function, Euclid, Sieve of Eratosthenes, Gauss, Legendre, Dirichlet, Random, Hermitian Matrix, Freeman Dyson, Hugh Montgomery, Ulam Spirals, Eigenvalues, Energy Levels, RSA Encryption. To purchase innovative mathematical-related and unique prime number and riemann-related merchandise: http://artsnow.com/riemannhypothesis

Category:

Education

Tags:

• Riemann Hypothesis
• Prime Numbers
• Ulam Prime Spirals

[piranyas]

This is beautiful!!

The more abstract and difficult math becomes, the more useful it is.

[heebalob]

Really great video. A beautiful combination of sounds, images and ideas.

[Rina25tir]

Can anybody suggest me any really good book that will help me get deep into the world of prime numbers,complex nr and everything that goes along with them? Any free book that I can find in internet. I have so many questions that my university math books can't answer.

[rationalpower]

what is the the name of the score?

[eenblanke]

Prima!

[mabuhayguy]

KUDOS TO THE UPLOADER! THIS IS VERY FASCINATING.

[Mortmaire]

@piranyas I dunno. The secret of mathematics lies in simplicity of its foundation and perfect harmony of theorems. One theorem you can prove with many ways, and - if your proving method is correct - you always get one resoult. Let's say, the existing of zeroes of every polynominal over the complex body - you can do it by classical mathematical analysis, by abstract algebra, or by Liouville Theorem in complex analysis. And many, many different ways.

[MisterEvasion]

I am convinced that proving the hypothesis, if it can be, will not come by direct confrontation of the zeta function. I suspect the secret will be discovered through explorations of other mathematical experiments with the primes. In other words, we will know Riemann's zeroes line up as they do because another theorem predicts it.

The difficulty of Riemann to understand, I find, is the realm of four dimensional spaces one has to almost visualize to grasp the enormity of proving this hypothesis.