Modular forms on {{,textrm{SU},}}(2,1) with weight frac{1}{3}

Eberhard Freitag,Richard M. Hill

doi:10.1007/s40993-022-00361-6

Modular forms on {{,textrm{SU},}}(2,1) with weight frac{1}{3}

Eberhard Freitag, Richard M. Hill

https://doi.org/10.1007/s40993-022-00361-6

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Journal: Research in Number Theory	Publication Date: Mar 28, 2023
License type: open-access

Affiliation: Heidelberg University, University College London

#Modular Forms #Holomorphic Modular Forms

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Abstract

In this note, we describe several new examples of holomorphic modular forms on the group {{,textrm{SU},}}(2,1). These forms are distinguished by having weight frac{1}{3}. We also describe a method for determining the levels at which one should expect to find such fractional weight forms.

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