Spherical Casimir energies and Dedekind sums

Details Spherical Casimir energies and Dedekind sums Spherical Casimir energies and Dedekind sums

2004-06-13

arxiv.org/abs/hep-th/0406113v4

Class.Quant.Grav.21:4977-4992,2004

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 2 figures, v2:typos corrected, inessential equation in Discussion altered. v3:typos corrected, 1 reference and comme

Scientific paper

10.1088/0264-9381/21/21/015

Casimir energies on space-times having general lens spaces as their spatial
sections are shown to be given in terms of generalised Dedekind sums related to
Zagier's. These are evaluated explicitly in certain cases as functions of the
order of the lens space. An easily implemented recursion approach is used.

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