A special value of the spectral zeta function of the non-commutative harmonic osciallators
Representation Theory
2007-05-23 v1 Number Theory
Abstract
The non-commutative harmonic oscillator is a -system of harmonic oscillators with a non-trivial correlation. We write down explicitly the special value at of the spectral zeta function of the non-commutative harmonic oscillator in terms of the complete elliptic integral of the first kind, which is a special case of a hypergeometric function.
Keywords
Cite
@article{arxiv.math/0507111,
title = {A special value of the spectral zeta function of the non-commutative harmonic osciallators},
author = {Hiroyuki Ochiai},
journal= {arXiv preprint arXiv:math/0507111},
year = {2007}
}
Comments
5 pages, no figures