The Barnes zeta-function, sphere determinants and Glaisher- Kinkelin-Bendersky constants

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dc.creatorDowker, J. S.
dc.creatorKirsten, Klaus
dc.date2003-01-20
dc.date2003-01-21
dc.date.accessioned2026-07-07T10:49:32Z
dc.date.available2026-07-07T10:49:32Z
dc.descriptionSummations and relations involving the Hurwitz and Riemann zeta-functions are extended first to Barnes zeta-functions and then to zeta-functions of general type. The analysis is motivated by the evaluation of determinants on spheres which are treated both by a direct expansion method and by regularised sums. Comments on existing calculations are made. A Kaluza--Klein technique is introduced providing a determinant interpretation of the Glaisher-Kinkelin-Bendersky constants which are then generalised to arbitrary zeta-functions. This technique allows an improved treatment of sphere determinants.
dc.description26 pages, JyTex. Minor improvements made
dc.identifierhttps://arxiv.org/abs/hep-th/0301143
dc.identifierhttp://arxiv.org/abs/hep-th/0301143
dc.identifierAnal.Appl.3:45-68,2005
dc.identifierdoi:10.1142/S0219530505000479
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184251
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subjectSpectral Theory
dc.titleThe Barnes zeta-function, sphere determinants and Glaisher- Kinkelin-Bendersky constants
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