Mahler Measure Variations, Eisenstein Series and Instanton Expansions
Jan Stienstra
TL;DR
This paper explores the relationship between Eisenstein series, Mahler measures, and instanton expansions, revealing connections between modular forms and string theory concepts.
Contribution
It uncovers an inverse function relation linking modular Mahler measures with instanton numbers in non-critical string theories.
Findings
Identifies a connection between Eisenstein series and Mahler measures.
Establishes a relation between Mahler measures and instanton expansions.
Suggests a link between modular forms and string theory phenomena.
Abstract
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.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Algebra and Geometry · Theoretical and Computational Physics