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arXiv:0903.5165 [math.NT]AbstractReferencesReviewsResources

Special value formula for the spectral zeta function of the non-commutative harmonic oscillator

Kazufumi Kimoto

Published 2009-03-30Version 1

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.

Comments: 13 pages
Categories: math.NT
Subjects: 14G10, 35P99
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