@article{oai:u-ryukyu.repo.nii.ac.jp:02008504, author = {Kimoto, Kazufumi and 木本, 一史}, journal = {Ryukyu mathematical journal}, month = {Dec}, note = {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}, pages = {1--31}, title = {Generalized Apéry-like numbers arising from the non-commutative harmonic oscillator}, volume = {29}, year = {2016} }