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Статья

Volume and entropy in abstract analytic number theory and thermodynamics

Mathematical notes. 2016. Vol. 100. No. 5. P. 828-834.
Maslov V. P., Dobrokhotov S., Nazaikinskii V.

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.