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

DOI10.1007/S40993-022-00361-6zbMATH Open1517.11049arXiv2203.01106MaRDI QIDQ6392598

Eberhard Freitag, Richard M. Hill

Publication date: 2 March 2022

Abstract: In this note, we describe several new examples of holomorphic modular forms on the group SU(2,1). These forms are distinguished by having weight $frac13$. We also describe a method for determining the levels at which one should expect to find such fractional weight forms.

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Structure of modular groups and generalizations; arithmetic groups (11F06) Cohomology of arithmetic groups (11F75)

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