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Spherical Casimir energies and Dedekind sums

J S Dowker
2004 Classical and quantum gravity  

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2004 pre-print arXiv:hep-th/0406113v1 fatcat:wdey72i7wnhedklxn6cb4dh2mm

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2004 pre-print
arXiv:hep-th/0406113v3 fatcat:cjjjzcslufce3piwz4tib32oeq
2004 pre-print
arXiv:hep-th/0406113v2 fatcat:q4bocddf4renvlitd6ii4jq5yq
2004 accepted
arXiv:hep-th/0406113v4 fatcat:alg4efiourb77aptoijdir5jo4
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.
doi:10.1088/0264-9381/21/21/015 fatcat:iyaabuhxebfytboayjpvpvkngq
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J S Dowker. "Spherical Casimir energies and Dedekind sums." Classical and quantum gravity 21.21 (2004) 4977-4991