142 citations · 261 across the 13 of their papers we have counts for
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Chern-Simons theory, analytic continuation and arithmetic
Stavros Garoufalidis
The purpose of the paper is to introduce some conjectures regarding the analytic continuation and the arithmetic properties of quantum invariants of knotted objects. More precisely…
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 extended version of additive K-theory
Stavros Garoufalidis
There are two infinitesimal (i.e., additive) versions of the -theory of a field : one was introduced by Cathelineau, which is an -module, and another one introduced by Blo…
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…