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

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

2003-01-20

arxiv.org/abs/hep-th/0301143v2

Anal.Appl.3:45-68,2005

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, JyTex. Minor improvements made

Scientific paper

10.1142/S0219530505000479

Summations 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.

Affiliated with

Also associated with

No associations

Rating

The Barnes zeta-function, sphere determinants and Glaisher- Kinkelin-Bendersky constants 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 Barnes zeta-function, sphere determinants and Glaisher- Kinkelin-Bendersky constants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Barnes zeta-function, sphere determinants and Glaisher- Kinkelin-Bendersky constants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-307013