q-series and L-functions related to half-derivatives of the Andrews--Gordon identity
Hikami, Kazuhiro
arXiv, 0303250 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-03-20
Classification:  Mathematics - Number Theory,  Mathematical Physics,  Mathematics - Quantum Algebra 
@article{0303250,
     author = {Hikami, Kazuhiro},
     title = {q-series and L-functions related to half-derivatives of the
  Andrews--Gordon identity},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0303250}
}

Hikami, Kazuhiro. q-series and L-functions related to half-derivatives of the
  Andrews--Gordon identity. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0303250/