How to pronounce “zeta” in English

Zeta of 3 is 1 plus 1 over 2 cubed.

And zeta of 6 to zeta 4.

And zeta of 2 and so on.

Once he had zeta of 2, there's a kind of complicated formula that relates zeta of 4 to zeta of 2.

He got to zeta of 12.

No one knows about zeta of 3 or zeta of 5.

But the zeta function turns out not to be a good way.

So this Riemann zeta function helps you understand how they're spaced out so I understand.

Other than Catherine Zeta-Jones, because they're out of their comfort zone, everybody was really into it and really, incredibly--.

And if that means hiring Catherine Zeta-Jones to advertise your mobile phone service, that is better than hiring another beautiful woman to market

We're going to call zeta of k-- that's that strange letter over there.

And he worked out that zeta of 4 is pi to the forth over 90.

And he got all the way to zeta of 12.

We acquired a company called Richards-Zeta that has middleware capabilities that allows us to do that, and we are bringing more intelligence from the switching and routing into interconnecting

So what Stephen Colbert was just talking about was Catherine Zeta-Jones and Sean Connery.

It can be written in terms of the Riemann zeta function.

And Zeta of 4 is 1 plus 1 over 2 to the 1/4.

trying to do-- there's some mathematicians amongst you-- the Riemann zeta function might-- oh yes, we're getting one or two nods, so that's good.

your mobile phone service because the fact that you've hired Catherine Zeta-Jones says, we really like this product.

So Euler showed that zeta of two is pi squared over 6.

Using the identity again, he worked out that zeta of 6 is pi to the 1/6 over 945.

So then, the next question to ask is zeta of odd numbers-- and here, the answer is more complicated.

Maybe you can-- But as Rob showed you, zeta of even numbers--

on a physical embodiment of a machine to try and solve Riemann's Zeta function.

Euler said, I can prove a formula that relates the even values of the zeta function to the Bernoulli numbers.

So the zeta functions.

But the error seems to go-- if you compute zeta of 100 and relate that to pi to the 100.

And you put them together and it will actually approximates to something that will solve Riemann's Zeta function.

So we can see the evolution of things from these analog machines, like the Riemann's Zeta function machine into something that's more digital.

So he wanted to build an analog machine that would help find the solutions to the zeta function,

was in use, but this is a step up from the Riemann zeta function machine.

So for example, the Riemann hypothesis is a great discovery that Riemann made, that, to understand prime numbers, we need to understand the zeros of the Riemman zeta function.

- --committed because, from the movies, you see a grid of lasers and Catherine Zeta-Jones a skintight suit.

And but, in a musical, because it's none of their forte--except for Catherine--that Catherine Zeta-Jones.