A variation of multiple $L$-values arising from the spectral zeta function of the non-commutative harmonic oscillator

Details A variation of multiple $L$-values arising from the spectral zeta function of the non-commutative harmonic oscillator A variation of multiple $L$-values arising from the spectral zeta function of the non-commutative harmonic oscillator

2007-12-12

arxiv.org/abs/0712.1855v2

Mathematics

Number Theory

10 pages

Scientific paper

A variation of multiple $L$-values, which arises from the description of the
special values of the spectral zeta function of the non-commutative harmonic
oscillator, is introduced. In some special cases, we show that its generating
function can be written in terms of the gamma functions. This result enables us
to obtain explicit evaluations of them.

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