Möbius, Mellin, and mathematical physics

Barry W. Ninham, Barry D. Hughes, Norman E. Frankel and M. Lawrence Glasser

Physica A: Statistical Mechanics and its Applications, 1992, vol. 186, issue 3, 441-481

Abstract: 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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:186:y:1992:i:3:p:441-481

DOI: 10.1016/0378-4371(92)90210-H

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