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

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

2009-03-30

arxiv.org/abs/0903.5165v1

Mathematics

Number Theory

13 pages

Scientific paper

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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