MOBIUS, MELLIN, AND MATHEMATICAL PHYSICS

被引：13

作者：

NINHAM, BW

HUGHES, BD

FRANKEL, NE

GLASSER, ML

机构：

[1] UNIV MELBOURNE,DEPT MATH,PARKVILLE,VIC 3052,AUSTRALIA

[2] UNIV MELBOURNE,SCH PHYS,PARKVILLE,VIC 3052,AUSTRALIA

[3] CLARKSON UNIV,DEPT PHYS,POTSDAM,NY 13676

[4] CLARKSON UNIV,DEPT MATH & COMP SCI,POTSDAM,NY 13676

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1992年 / 186卷 / 3-4期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1016/0378-4371(92)90210-H

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We examine some results and techniques of analytic number theory which have application, or potential application, in mathematical physics. We consider inversion formulae for lattice sums, various transformations of infinite series and products, functional equations and scaling relations, with selected applications in electrostatics and statistical mechanics. In the analysis, the Mellin transform and the Riemann zeta function play a key role.

引用

页码：441 / 481

页数：41

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