Volume and entropy in abstract analytic number theory and thermodynamics
- Authors: Maslov V.P.1,2, Dobrokhotov S.Y.2,3, Nazaikinskii V.E.2,3
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Affiliations:
- National Research University Higher School of Economics
- Ishlinsky Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 100, No 5-6 (2016)
- Pages: 828-834
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149886
- DOI: https://doi.org/10.1134/S0001434616110225
- ID: 149886
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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.
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About the authors
V. P. Maslov
National Research University Higher School of Economics; Ishlinsky Institute for Problems in Mechanics
Author for correspondence.
Email: v.p.maslov@mail.ru
Russian Federation, Moscow; Moscow
S. Yu. Dobrokhotov
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)
Email: v.p.maslov@mail.ru
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast
V. E. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)
Email: v.p.maslov@mail.ru
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast
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