2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74138This 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 SymmetryNumber TheoryHigh Energy Physics - Theory11R99, 11F11Mahler Measure Variations, Eisenstein Series and Instanton Expansionstext