@**article**{RISC4340,author = {Stavros Garoufalidis and Christoph Koutschan},

title = {{The sl3 Jones polynomial of the trefoil: a case study of q-holonomic recursions}},

language = {english},

abstract = {The sl3 colored Jones polynomial of the trefoil knot is a q-holonomic
sequence of two variables with natural origin, namely quantum topology.
The paper presents an explicit set of generators for the annihilator ideal of
this q-holonomic sequence as a case study.
On the one hand, our results are new and useful to quantum topology:
this is the first example of a rank 2 Lie algebra computation
concerning the colored Jones polynomial of a knot. On the other hand, this
work illustrates the applicability and computational power of the employed
computer algebra methods.},

journal = {Advances in Applied Mathematics},

volume = {47},

number = {4},

pages = {829--839},

isbn_issn = {ISSN 0196-8858},

year = {2011},

refereed = {yes},

length = {11}

}