Zeta functions, statistical mechanics and Haar measure

Japanese version
This Blog is very interesting from the viewpoint of number theory and statistic dynamics. So I have partially translated into Japanese. There are some argument of the probability that 2 positive integers are coprime each other is equal to one that a positive integer is square-free and some ideas of the Riemann gas and negative logarithmic derivation, which relate Riemann zeta to the partition function of certain statistic dynamics system.

the original blog by Qiaochu Yuan

Zeta functions, statistical mechanics and Haar measure

a partial translation:

Zeta functions, statistical mechanics and Haar measure (in Japanese)

I have omitted the first half and hope the next chance.