Automatic asymptotics for coefficients of smooth, bivariate rational functions

Timothy DeVries, Joris van der Hoeven, Robin Pemantle

We consider a bivariate rational generating function F(x,y) = P(x,y) / Q(x,y) = sum_{r, s} a_{r,s} x^r y^s under the assumption that the complex algebraic curve $\sing$ on which $Q…