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arXiv · 0903.5165

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

Kazufumi Kimoto
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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.

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Kazufumi Kimoto. 2009-03-30. Special value formula for the spectral zeta function of the non-commutative harmonic oscillator. https://arxiv.org/abs/0903.5165

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