A new method for computing asymptotics of diagonal coefficients of multivariate generating functions

Alexander Raichev, Mark C. Wilson

Let \sum_{n\in N^d} f_{n_1, ..., n_d} x_1^{n_1}... x_d^{n_d} be a multivariate generating function that converges in a neighborhood of the origin of C^d. We present a new, multivar…