Ryan Rueger

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Eta Products

 

Thesis PDF (DOI ethz-b-000606845)

Implementation (GitHub)

Demonstrates the transformation properties of eta products under the action of modular subgroups. Presents a generalised implementation of Dr. D. Loeffler’s Sagemath implementation of the EtaProduct class, allowing one to calculate $q$-expansions of arbitrary Eta products and to slash integral-weight Eta products with $\mathrm{SL}_2(\mathbb{Z})$ matrices and Atkin-Lehner operators.