Volume and entropy in abstract analytic number theory and thermodynamics

被引：4

作者：

Maslov, V. P. ^{[1
,2
]}

Dobrokhotov, S. Yu. ^{[2
,3
]}

Nazaikinskii, V. E. ^{[2
,3
]}

机构：

[1] Natl Res Univ Higher Sch Econ, Moscow, Russia

[2] Russian Acad Sci, Ishlinsky Inst Problems Mechan, Moscow, Russia

[3] Moscow Inst Phys & Technol, Dolgoprudnyi, Moscow Oblast, Russia

来源：

MATHEMATICAL NOTES | 2016年 / 100卷 / 5-6期

关键词：

number theory; thermodynamics; statistical physics; volume; entropy;

D O I：

10.1134/S0001434616110225

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：828 / 834

页数：7

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