Mahler Measure, Eisenstein Series and Dimers

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This note reveals a mysterious link between the partition function of certain dimer models on 2-dimensional tori and the $L$-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

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Number Theory, High Energy Physics - Theory, 11R99, 11F11

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http://salesiana.dossiersoluciones.com/handle/123456789/74141

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502197
 http://arxiv.org/abs/math/0502197

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arXiv