142 citations · 276 across the 14 of their papers we have counts for
5 papers · 1 filter
Universality and asymptotics of graph counting problems in nonorientable surfaces
Stavros Garoufalidis, Marcos Marino
Bender-Canfield showed that a plethora of graph counting problems in oriented/unoriented surfaces involve two constants and for the oriented and the unoriented case res…
A new algorithm for the recursion of multisums with improved universal denominator
Stavros Garoufalidis, Xinyu Sun
The purpose of the paper is to introduce two new algorithms. The first one computes a linear recursion for proper hypergeometric multisums, by treating one summation variable at a…
G-functions and multisum versus holonomic sequences
Stavros Garoufalidis
The purpose of the paper is three-fold: (a) we prove that every sequence which is a multidimensional sum of a balanced hypergeometric term has an asymptotic expansion of Gevrey typ…
Algebraic G-functions associated to matrices over a group-ring
Jean Bellissard, Stavros Garoufalidis
Given a square matrix with elements in the group-ring of a group, one can consider the sequence formed by the trace (in the sense of the group-ring) of its powers. We prove that th…
An ansatz for the asymptotics of hypergeometric multisums
Stavros Garoufalidis
Sequences that are defined by multisums of hypergeometric terms with compact support occur frequently in enumeration problems of combinatorics, algebraic geometry and perturbative…