author = {Christoph Koutschan},
title = {{Lattice Green's Functions of the Higher-Dimensional Face-Centered Cubic Lattices}},
language = {english},
abstract = {We study the lattice Green's functions of the face-centered cubic lattice (fcc) in up to six dimensions. We give computer algebra proofs of results that were conjectured by Guttmann and Broadhurst for the four- and five-dimensional fcc lattices. Additionally we derive a differential equation for the lattice Green's function of the six-dimensional fcc lattice, a result that was not believed to be achievable with current computer hardware.},
number = {1108.2164},
year = {2011},
institution = {ArXiv (www.arxiv.org)},
length = {14},
url = {http://www.risc.jku.at/people/ckoutsch/fcc/}