Geodesic
Refinement of the Gibbs and Bose--Einstein Distributions
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 3, pp. 433-436

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A rigorous derivation of the Gibbs and Bose–Einstein distributions on a finite set of energies is stated, in essence, as a theorem in number theory. If there are not very many particles, then the discussion of this question reduces to an exact theorem.
Keywords: Gibbs distribution, Bose-Einstein distribution, number theory, law of large numbers. 
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     author = {V. P. Maslov},
     title = {Refinement of the {Gibbs} and {Bose--Einstein} {Distributions}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {433--436},
     publisher = {mathdoc},
     volume = {145},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_145_3_a10/}
}
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V. P. Maslov. Refinement of the Gibbs and Bose--Einstein Distributions. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 3, pp. 433-436. http://geodesic.mathdoc.fr/item/TMF_2005_145_3_a10/