Rademacher Series for $\eta$-Quotients
Ethan Sussman
TL;DR
This paper utilizes Rademacher's method to efficiently compute Fourier coefficients of a broad class of eta-quotients, advancing the analytical tools available for studying modular forms.
Contribution
It introduces a novel application of Rademacher's method specifically tailored for eta-quotients, expanding computational techniques in modular form theory.
Findings
Successfully computed Fourier coefficients for various eta-quotients
Demonstrated the effectiveness of Rademacher's method in this context
Provided explicit formulas and computational results
Abstract
We apply Rademacher's method in order to compute the Fourier coefficients of a large class of -quotients.
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Taxonomy
TopicsAnalytic Number Theory Research · Meromorphic and Entire Functions · Advanced Algebra and Geometry