Volume and entropy in abstract analytic number theory and thermodynamics


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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.

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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