Mahler Measure, Eisenstein Series and Dimers
arXiv:math/0502197
Abstract
This note reveals a mysterious link between the partition function of certain dimer models on 2-dimensional tori and the -function of their spectral curves. It also relates the partition function in certain families of dimer models to Eisenstein series.
11p.; to appear in the Proceedings of the 2003 Banff workshop on Calabi-Yau Varieties and Mirror Symmetry