Spherical Casimir energies and Dedekind sums
High Energy Physics - Theory
2010-11-19 v4 General Relativity and Quantum Cosmology
Number Theory
Abstract
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.
Cite
@article{arxiv.hep-th/0406113,
title = {Spherical Casimir energies and Dedekind sums},
author = {J. S. Dowker},
journal= {arXiv preprint arXiv:hep-th/0406113},
year = {2010}
}
Comments
18 pages, 2 figures, v2:typos corrected, inessential equation in Discussion altered. v3:typos corrected, 1 reference and comments added. v4:typos corrected. Ancillary results added in an appendix