Taking parastatistical corrections to the Bose–Einstein distribution into account in the quantum and classical cases

We use number-theoretical methods to study the problem of particle Bose-condensation to zero energy. The parastatistical correction to the Bose–Einstein distribution establishes a relation between the quantum mechanical and statistical definitions of the Bose gas and permits correctly defining the condensation point as a gap in the spectrum in the one-dimensional case, proving the existence of the Bose condensate in the two-dimensional case, and treating the negative pressure in the classical theory of liquids as the pressure of nanopores (holes).