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.
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页码：828 / 834
页数：7
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