A special value of the spectral zeta function of the non-commutative harmonic osciallators

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dc.creatorOchiai, Hiroyuki
dc.date2005-07-06
dc.date.accessioned2026-07-07T05:21:26Z
dc.date.available2026-07-07T05:21:26Z
dc.descriptionThe non-commutative harmonic oscillator is a $2\times2$-system of harmonic oscillators with a non-trivial correlation. We write down explicitly the special value at $s=2$ 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.
dc.description5 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0507111
dc.identifierhttp://arxiv.org/abs/math/0507111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75690
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.subject11M36; 33C20
dc.titleA special value of the spectral zeta function of the non-commutative harmonic osciallators
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