Relativistic gases and the Riemann zeta function
I received the following note from Dr. Herbert van Erkelens who
left theoretical physics in 1984, but who is interested in the contents of this site from the perspective of
Jungian/archetypal psychology. His doctoral dissertation concerned relativistic gases.
"It almost looks as if I had written my dissertation in a former life. But if I understand my own work correctly,
the enthalpy of a relativistic gas seems to be connected with modified Bessel functions of the second kind. Most
of the time I quote: I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products (Academic Press,
New York, 1965). The Riemann zeta function does not occur in the formulae. But occasionally numerical integration leads
to numerical values in which zeta(3) or zeta(4) play a role, for instance in case of the electron density of
a degenerate ideal electron gas or the photon distribution in the early universe."