Classical Partition Function for Non-Relativistic Gravity

We considered the canonical gravitational partition function Z associated to classical Boltzmann–Gibbs (BG) distribution e??HZ. It is popularly thought that it cannot be built up because integral involved in constructing diverges at origin. Contrariwise, was shown (Physica A 497 (2018) 310), by appeal sophisticated mathematics developed second half of last century, this not so. can indeed computed recourse (A) analytical extension treatments Gradshteyn and Rizhik Guelfand Shilov, permit tackling some divergent integrals (B) dimensional regularization approach. Only one special instance discussed above reference. In work, we obtain for Newton’s gravity four cases immediately come mind.