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math.NT2014
Traces of singular values of Hauptmoduln
Lea Beneish, Hannah Larson
In an important paper, Zagier proved that certain half-integral weight modular forms are generating functions for traces of polynomials in the -function. It turns out that Zagie…
math.NT2014
Congruence properties of Taylor coefficients of modular forms
Hannah Larson, Geoffrey Smith
In their work, Serre and Swinnerton-Dyer study the congruence properties of the Fourier coefficients of modular forms. We examine similar congruence properties, but for the coeffic…
math.QA2014
Pseudo-unitary non-self-dual fusion categories of rank 4
Hannah K. Larson
A fusion category of rank has either four self-dual objects or exactly two self-dual objects. We study fusion categories of rank with exactly two self-dual objects, giving…