A special value of the spectral zeta function of the non-commutative harmonic osciallators
نویسنده
چکیده
An expression of the special value ζQ(2) is obtained in [2] in terms of a certain contour integral using the solution of a singly confluent type Heun differential equation. It would be indicated that these special values are complicated enough and highly transcendental as reflecting the transcendence of the spectra of the non-commutative harmonic oscillator. ∗The research of the author is supported in part by a Grant-in-Aid for Scientific Research (B) 15340005 from the Ministry of Education, Culture, Sports, Science and Technology. Mathematics Subject Classification; Primary 11M36, Secondary 33C20, 33C75.
منابع مشابه
Special value formula for the spectral zeta function of the non-commutative harmonic oscillator
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تاریخ انتشار 2005