142 citations · 364 across the 42 of their papers we have counts for
Showing 2007 · math.COShow all
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math.CO2007★ 5 cited
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…
math.CO2007★ 6 cited
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…
math.CO2007★ 5 cited
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…