Mahler Measure Variations , Eisenstein Series and Instanton Expansions

This paper points at an intriguing inverse function relation with on the one hand the coefficients of the Eisenstein series in Rodriguez Villegas’ paper on “Modular Mahler Measures” and on the other hand the instanton numbers in papers on “Non-Critical Strings” by KlemmMayr-Vafa and Lerche-Mayr-Warner. In a companion paper Mahler measures will be related to… CONTINUE READING