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Matematicheskie Zametki, 2016, Volume 100, Issue 6, Pages 855–867
DOI: https://doi.org/10.4213/mzm11453 (Mi mzm11453) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Volume and Entropy in Abstract Analytic Number Theory and Thermodynamics

V. P. Maslovab, S. Yu. Dobrokhotovca, V. E. Nazaikinskiica

a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
b National Research University "Higher School of Economics" (HSE), Moscow
c Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Full-text PDF (541 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11453
Abstract: 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, volume, entropy.
Funding agency
This research was carried out at Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, in the framework of the state contract “Modeling of processes in mechanics of natural hazards, mechanics of continuum, and quantum mechanics with the use of asymptotic and analytical-numerical methods.”
Received: 17.10.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 6, Pages 828–834
DOI: https://doi.org/10.1134/S0001434616110225
Bibliographic databases:
Document Type: Article
UDC: 511.3+536
Language: Russian
Citation: V. P. Maslov, S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Volume and Entropy in Abstract Analytic Number Theory and Thermodynamics”, Mat. Zametki, 100:6 (2016), 855–867; Math. Notes, 100:6 (2016), 828–834
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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