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Mat. Zametki, 2016, Volume 100, Issue 6, Pages 855–867 (Mi mz11453)  

This article is cited in 2 scientific papers (total in 2 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

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.”


DOI: https://doi.org/10.4213/mzm11453

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English version:
Mathematical Notes, 2016, 100:6, 828–834

Bibliographic databases:

UDC: 511.3+536
Received: 17.10.2016

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. P. Maslov, T. V. Maslova, “A generalized number theory problem applied to ideal liquids and to terminological lexis”, Russ. J. Math. Phys., 24:1 (2017), 96–110  crossref  zmath  isi  scopus
    2. V. P. Maslov, “A model of classical thermodynamics and mesoscopic physics based on the notion of hidden parameter, earth gravitation, and quasiclassical asymptotics. II”, Russ. J. Math. Phys., 24:4 (2017), 494–504  crossref  mathscinet  zmath  isi  scopus
  • Математические заметки Mathematical Notes
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