The appendix of "Planck's law"

Japanese version
In 1900, M. Planck pointed out the breakdown of classical electrodynamics. That is because the energy density per unit volume becomes infinite and is not in agreement with an experiment in classical electrodynamics. The formula that on the other hand the energy distribution of the spectrum radiation luminosity of the electromagnetic waves radiated from the black body called the law of Planck becomes limited from the thermodynamic view submitted by Boltzmann is drawn. This was taken over to the light(energy)-quantum theory of Einstein on the assumption that e=hv, and it paved the way for quantum mechanics. In calculation of this energy density, the fact which is a limited value which the special value of the Zeta function of Riemann can calculate appears.

Although there is a statement of a method which uses the special value of a Riemann Zeta function for the supplement of the item of "the law of Plank" of Japanese wikipedia, since this is not indicated to an English-language edition, it translates into English.

The Appendix of "Planck's law"