Higher Apery-like numbers arising from special values of the spectral zeta function for the non-commutative harmonic oscillator
| dc.creator | Kimoto, Kazufumi | |
| dc.date | 2009-01-06 | |
| dc.date | 2009-01-20 | |
| dc.date.accessioned | 2026-07-07T12:31:25Z | |
| dc.date.available | 2026-07-07T12:31:25Z | |
| dc.description | 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 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 higher Apery-like numbers. We discuss several kinds of congruence relations among them, which are regarded as an analogue of the ones among Apery numbers. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/0901.0658 | |
| dc.identifier | http://arxiv.org/abs/0901.0658 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216439 | |
| dc.subject | Number Theory | |
| dc.subject | 11M41; 11A07 | |
| dc.title | Higher Apery-like numbers arising from special values of the spectral zeta function for the non-commutative harmonic oscillator | |
| dc.type | text |