Loading [MathJax]/jax/output/SVG/config.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{MasDobNaz16}
\by V.~P.~Maslov, S.~Yu.~Dobrokhotov, V.~E.~Nazaikinskii
\paper Volume and Entropy in Abstract Analytic Number Theory and Thermodynamics
\jour Mat. Zametki
\yr 2016
\vol 100
\issue 6
\pages 855--867
\mathnet{http://mi.mathnet.ru/mzm11453}
\crossref{https://doi.org/10.4213/mzm11453}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588910}
\elib{https://elibrary.ru/item.asp?id=27484943}
\transl
\jour Math. Notes
\yr 2016
\vol 100
\issue 6
\pages 828--834
\crossref{https://doi.org/10.1134/S0001434616110225}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391490500022}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85007124083}
Linking options:
  • https://www.mathnet.ru/eng/mzm11453
  • https://doi.org/10.4213/mzm11453
  • https://www.mathnet.ru/eng/mzm/v100/i6/p855
    • This publication is cited in the following 4 articles:
    1. V. P. Maslov, “Rotation of a Neutron in the Coat of Helium-5 as a Classical Particle for a Relatively Large Value of the Hidden Parameter $t_{\mathrm{meas}}$”, Math. Notes, 103:1 (2018), 67–74  mathnet  mathnet  crossref  isi  scopus
    2. 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
    3. 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
    4. V. P. Maslov, “Two First Principles of Earth Surface Thermodynamics. Mesoscopy, Energy Accumulation, and the Branch Point in Boson–Fermion Transition”, Math. Notes, 102:6 (2017), 824–835  mathnet  mathnet  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:807
    Full-text PDF :155
    References:131
    First page:74
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025