Approximations to the volume of hyperbolic knots
arXiv:1102.3742
Abstract
We present computational data and heuristic arguments which suggest that given a hyperbolic knot the volume correlates with its determinant, the Mahler measure of its Alexander polynomial and the Mahler measure of the twisted Alexander polynomial corresponding to the discrete and faithful SL(2,C)-representation.
13 pages and 6 figures. This short note will be published by RIMS Kokyuroku. Comments are welcome