The ubiquitous $ζ$-function and some of its "usual" and "unusual" meromorphic properties

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dc.creatorKirsten, Klaus
dc.creatorLoya, Paul
dc.creatorPark, Jinsung
dc.date2008-12-01
dc.date.accessioned2026-07-07T12:32:26Z
dc.date.available2026-07-07T12:32:26Z
dc.descriptionIn this contribution we announce a complete classification and new exotic phenomena of the meromorphic structure of $\z$-functions associated to conic manifolds proved in \cite{KLP1}. In particular, we show that the meromorphic extensions of these $\z$-functions have, in general, countably many logarithmic branch cuts on the nonpositive real axis and unusual locations of poles with arbitrarily large multiplicity. Moreover, we give a precise algebraic-combinatorial formula to compute the coefficients of the leading order terms of the singularities.
dc.descriptionPaper presented at the 8th Workshop on Quantum Field Theory under the Influence of External Conditions (Leipzig, Germany, 16-21 September, 2007)
dc.identifierhttps://arxiv.org/abs/0812.0385
dc.identifierhttp://arxiv.org/abs/0812.0385
dc.identifierJ.Phys.A41:164070,2008
dc.identifierdoi:10.1088/1751-8113/41/16/164070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216782
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleThe ubiquitous $ζ$-function and some of its "usual" and "unusual" meromorphic properties
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