Mahler Measure, Eisenstein Series and Dimers
Number Theory
2007-05-23 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.math/0502197,
title = {Mahler Measure, Eisenstein Series and Dimers},
author = {Jan Stienstra},
journal= {arXiv preprint arXiv:math/0502197},
year = {2007}
}
Comments
11p.; to appear in the Proceedings of the 2003 Banff workshop on Calabi-Yau Varieties and Mirror Symmetry