Hypergeometric generating functions for values of Dirichlet and other L functions.

@article{Lovejoy2003HypergeometricGF,
  title={Hypergeometric generating functions for values of Dirichlet and other L functions.},
  author={Jeremy Lovejoy and Ken Ono},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={2003},
  volume={100 12},
  pages={6904-9}
}
Although there is vast literature on the values of L functions at nonpositive integers, the recent appearance of some of these values as the coefficients of specializations of knot invariants comes as a surprise. Using work of G. E. Andrews [(1981) Adv. Math. 41, 173-185; (1986) q-Series: Their Development and Application in Analysis, Combinatories, Physics… CONTINUE READING