Special value formula for the spectral zeta function of the non-commutative harmonic oscillator
Number Theory
2009-03-31 v1
Abstract
We calculate the special values of the spectral zeta function of the non-commutative harmonic oscillator, and give a general formula for them as integrals of certain algebraic functions. This is a generalization of the result by Ichinose-Wakayama (2005), in which the first two special values are studied.
Keywords
Cite
@article{arxiv.0903.5165,
title = {Special value formula for the spectral zeta function of the non-commutative harmonic oscillator},
author = {Kazufumi Kimoto},
journal= {arXiv preprint arXiv:0903.5165},
year = {2009}
}
Comments
13 pages