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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
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.
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
Linking options:
https://www.mathnet.ru/eng/mzm11453https://doi.org/10.4213/mzm11453 https://www.mathnet.ru/eng/mzm/v100/i6/p855
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Abstract page: | 742 | Full-text PDF : | 132 | References: | 115 | First page: | 74 |
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