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

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

2008-12-01

arxiv.org/abs/0812.0385v1

J.Phys.A41:164070,2008

Physics

Mathematical Physics

Paper presented at the 8th Workshop on Quantum Field Theory under the Influence of External Conditions (Leipzig, Germany, 16-2

Scientific paper

10.1088/1751-8113/41/16/164070

In 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.

Affiliated with

Also associated with

No associations

Rating

The ubiquitous $ζ$-function and some of its "usual" and "unusual" meromorphic properties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The ubiquitous $ζ$-function and some of its "usual" and "unusual" meromorphic properties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The ubiquitous $ζ$-function and some of its "usual" and "unusual" meromorphic properties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-718412