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

preprint2022arXivOpen access

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 $\frac{1}{3}$ . We also describe a method for determining the levels at which one should expect to find such fractional weight forms.

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

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Modular forms on SU(2,1) with weight 13\frac{1}{3}31​

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