q-series and L-functions related to half-derivatives of the Andrews--Gordon identity
| dc.creator | Hikami, Kazuhiro | |
| dc.date | 2003-03-20 | |
| dc.date | 2003-05-10 | |
| dc.date.accessioned | 2026-07-07T06:29:28Z | |
| dc.date.available | 2026-07-07T06:29:28Z | |
| dc.description | Studied is a generalization of Zagier's q-series identity. We introduce a generating function of L-functions at non-positive integers, which is regarded as a half-differential of the Andrews--Gordon q-series. When q is a root of unity, the generating function coincides with the quantum invariant for the torus knot. | |
| dc.description | 21 pages, related papers can be found from http://gogh.phys.s.u-tokyo.ac.jp/~hikami/ | |
| dc.identifier | https://arxiv.org/abs/math/0303250 | |
| dc.identifier | http://arxiv.org/abs/math/0303250 | |
| dc.identifier | Ramanujan J. 11, 175-197 (2006) | |
| dc.identifier | doi:10.1007/s11139-006-6506-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98042 | |
| dc.subject | Number Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Algebra | |
| dc.title | q-series and L-functions related to half-derivatives of the Andrews--Gordon identity | |
| dc.type | text |