Geodesic
Volume and Entropy in Abstract Analytic Number Theory and Thermodynamics
Matematičeskie zametki, Tome 100 (2016) no. 6, pp. 855-867

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We develop the recent research [1] and introduce the notions of volume and entropy in abstract analytic number theory. The introduction of negative numbers in the generalized partition problem, together with the meaning of such a generalization in some applications of the theory, is discussed.
Keywords: number theory, thermodynamics, statistical physics, entropy.
Mots-clés : volume 
@article{MZM_2016_100_6_a7,
     author = {V. P. Maslov and S. Yu. Dobrokhotov and V. E. Nazaikinskii},
     title = {Volume and {Entropy} in {Abstract} {Analytic} {Number} {Theory} and {Thermodynamics}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {855--867},
     publisher = {mathdoc},
     volume = {100},
     number = {6},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_6_a7/}
}
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V. P. Maslov; S. Yu. Dobrokhotov; V. E. Nazaikinskii. Volume and Entropy in Abstract Analytic Number Theory and Thermodynamics. Matematičeskie zametki, Tome 100 (2016) no. 6, pp. 855-867. http://geodesic.mathdoc.fr/item/MZM_2016_100_6_a7/