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Matematicheskie Zametki, 2016, Volume 100, Issue 3, paper published in the English version journal (Mi mzm11421)  

This article is cited in 10 scientific papers (total in 10 papers)

Papers published in the English version of the journal

Conjugate Variables in Analytic Number Theory. Phase Space and Lagrangian Manifolds

V. P. Maslovab, V. E. Nazaikinskiibc

a National Research University Higher School of Economics, Moscow, Russia
b Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
c Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia
Citations (10)
Abstract: For an arithmetic semigroup $(G,\partial)$, we define entropy as a function on a naturally defined continuous semigroup $\widehat G$ containing $G$. The construction is based on conditional maximization, which permits us to introduce the conjugate variables and the Lagrangian manifold corresponding to the semigroup $(G,\partial)$.
Keywords: arithmetic semigroup, Bose gas, entropy, volume, Lagrange multiplier, conjugate variable, Lagrangian manifold.
Funding agency
This research was carried out at IPMech RAS 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: 26.03.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 3, Pages 421–428
DOI: https://doi.org/10.1134/S000143461609008X
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. P. Maslov, V. E. Nazaikinskii, “Conjugate Variables in Analytic Number Theory. Phase Space and Lagrangian Manifolds”, Math. Notes, 100:3 (2016), 421–428
Citation in format AMSBIB
\Bibitem{MasNaz16}
\by V.~P.~Maslov, V.~E.~Nazaikinskii
\paper Conjugate Variables in Analytic Number Theory. Phase Space and Lagrangian Manifolds
\jour Math. Notes
\yr 2016
\vol 100
\issue 3
\pages 421--428
\mathnet{http://mi.mathnet.ru/mzm11421}
\crossref{https://doi.org/10.1134/S000143461609008X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588860}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000386774200008}
\elib{https://elibrary.ru/item.asp?id=26604150}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84992109647}
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  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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