Mahler Measure Variations, Eisenstein Series and Instanton Expansions

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This paper points at an intriguing inverse function relation between Eisenstein series connected with ``Modular Mahler Measures'' and instanton numbers for ``Non-Critical Strings''. In a companion paper Mahler measures are related to dimer models.
16 p.; to appear in the Proceedings of the 2003 Banff workshop on Calabi-Yau Varieties and Mirror Symmetry

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