@article{pemantle2002asymptotics,
  title={Asymptotics of multivariate sequences: I. smooth points of the singular variety},
  author={Pemantle, Robin and Wilson, Mark C.},
  journal={Journal of Combinatorial Theory, Series A},
  volume={97},
  number={1},
  pages={129-161},
  year={2002},
  publisher={Academic Press},
  keywords={ACSV theory},
  url_Paper={https://www.sciencedirect.com/science/article/pii/S0097316501932017},
  abstract={Given a multivariate generating function $F(z_1 , \ldots , z_d) = \sum
a_{r_1 , \ldots , r_d} z_1^{r_1} \cdots z_d^{r_d}$, we determine
asymptotics for the coefficients. Our approach is to use Cauchy's
integral formula near singular points of $F$, resulting in a tractable
oscillating integral. This paper treats the case where the singular
point of $F$ is a smooth point of a surface of poles. Companion papers G
treat singular points of $F$ where the local geometry is more
complicated, and for which other methods of analysis are not known.}
}

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