2024-03-29T08:46:52Z
https://u-ryukyu.repo.nii.ac.jp/oai
oai:u-ryukyu.repo.nii.ac.jp:02008504
2022-10-31T04:03:09Z
1642837622505:1642837628262:1642837640112
1642838403551:1642838406414
Generalized Apéry-like numbers arising from the non-commutative harmonic oscillator
Kimoto, Kazufumi
木本, 一史
A generalization of the Apéry-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 oscillator, are introduced and studied. In fact, we give a recurrence relation for them, which shows a ladder structure among them. Further, we consider the 'rational part' of the generalized Apéry-like numbers. We discuss several kinds of congruence relations among them, which are regarded as an analog of the ones among Apéry numbers.
紀要論文
http://purl.org/coar/resource_type/c_6501
Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus
琉球大学理学部数理科学教室
2016-12-28
VoR
http://hdl.handle.net/20.500.12000/36185
1344-008X
AA10779580
Ryukyu mathematical journal
29
31
1
eng
open access