English

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

Number Theory 2022-03-03 v1

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

Keywords

Cite

@article{arxiv.2203.01106,
  title  = {Modular forms on SU(2,1) with weight $\frac{1}{3}$},
  author = {Eberhard Freitag and Richard M. Hill},
  journal= {arXiv preprint arXiv:2203.01106},
  year   = {2022}
}

Comments

22 pages

R2 v1 2026-06-24T09:59:20.205Z