Complete determination of the singularity structure of zeta functions

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dc.creatorElizalde, E.
dc.date1996-08-09
dc.date1996-08-12
dc.date.accessioned2026-07-07T10:58:46Z
dc.date.available2026-07-07T10:58:46Z
dc.descriptionSeries of extended Epstein type provide examples of non-trivial zeta functions with important physical applications. The regular part of their analytic continuation is seen to be a convergent or an asymptotic series. Their singularity structure is completely determined in terms of the Wodzicki residue in its generalized form, which is proven to yield the residua of all the poles of the zeta function, and not just that of the rightmost pole (obtainable from the Dixmier trace). The calculation is a very down-to-earth application of these powerful functional analytical methods in physics.
dc.descriptionLaTeX, 10 pages, a couple of typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/9608056
dc.identifierhttp://arxiv.org/abs/hep-th/9608056
dc.identifierJ.Phys.A30:2735-2744,1997
dc.identifierdoi:10.1088/0305-4470/30/8/019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187217
dc.subjectHigh Energy Physics - Theory
dc.subjectFunctional Analysis
dc.titleComplete determination of the singularity structure of zeta functions
dc.typetext

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