V. P. Maslov, S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Volume and Entropy in Abstract Analytic Number Theory and Thermodynamics”, Mat. Zametki, 2016, Volume 100, Issue 6,Pages <nobr>855

This article is cited in 4 papers

Volume and Entropy in Abstract Analytic Number Theory and Thermodynamics

V. P. Maslov^ab, S. Yu. Dobrokhotov^ca, V. E. Nazaikinskii^ca

^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.

UDC: 511.3+536

Received: 17.10.2016

DOI: 10.4213/mzm11453