Kazufumi Kimoto

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math.NT2009★ 2 cited

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

Kazufumi Kimoto

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 func…

math.NT2009★ 5 cited

Higher Apery-like numbers arising from special values of the spectral zeta function for the non-commutative harmonic oscillator

Kazufumi Kimoto

A generalization of the Apery-like numbers, which is used to describe the special values $ζ_{Q} (2)$ and $ζ_{Q} (3)$ of the spectral zeta function for the non-commutative harmonic oscill…

math.NT2007

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

Kazufumi Kimoto, Yoshinori Yamasaki

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.…

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

Higher Apery-like numbers arising from special values of the spectral zeta function for the non-commutative harmonic oscillator

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