Complete determination of the singularity structure of zeta functions

Details Complete determination of the singularity structure of zeta functions Complete determination of the singularity structure of zeta functions

1996-08-09

arxiv.org/abs/hep-th/9608056v2

J.Phys.A30:2735-2744,1997

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 10 pages, a couple of typos corrected

Scientific paper

10.1088/0305-4470/30/8/019

Series 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.

Affiliated with

Also associated with

No associations

Rating

Complete determination of the singularity structure of zeta functions 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 Complete determination of the singularity structure of zeta functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complete determination of the singularity structure of zeta functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-730628