The full name is Riemann Zeta Function. It's defined as:
One of its uses is as a comparison series for testing convergence however it is also related to the distribution of prime numbers and quantum systems energy levels. You can find
full discussion of Riemann Zeta Function in this website by Xavier Gourdon and Pascal Sebah, or in the books listed to the left.
Taylan Akdogan, Physics Grad Student, MIT, Cambridge
'The strength and weakness of physicists is that we believe in what we can measure. And if we can't measure it, then we say it probably doesn't exist. And that closes us off to an enormous amount of phenomena that we may not be able to measure because they only happened once. For example, the Big Bang. ... That's one reason why they scoffed at higher dimensions for so many years. Now we realize that there's no alternative... '