Let me begin this article in D=d+1 spacetime. We are going to study quantum gases and their statistics in multidimensional space. Usual notation: In D=d+1 spacetime, the massless free ideal relativistic gas satisfies, as we will show, certain … Continue reading
In this final post (by the moment) in the polylogia series we will write some additional formulae for polylogs and associated series. Firstly, we have (1) and now, if (2) (3) The next identity also holds … Continue reading
The polylogarithm or Jonquière’s function is generally defined as Do not confuse with the logarithm integral in number theory, which is such as and . In fact, notation can be confusing sometimes … Continue reading
In the next series of post, I am going to define (again) and write some cool identities of several objects that mathematicians and physicists know as zeta functions and polylogarithms. I have talked about them already here http://www.thespectrumofriemannium.com/2012/11/07/log051-zeta-zoology/ 1. We … Continue reading