Dimension formulas for certain spaces of Drinfeld cusp forms
Number Theory
2025-02-26 v1
Abstract
In this short note, we derive dimension formulas for spaces of Drinfeld cusp forms corresponding to harmonic cocycles invariant under the group and with values in absolutely irreducible -representations via the theory of Brauer characters. This generalizes results in [BGP21] obtained by different methods. In addition, we prove a simple asymptotic formula for these dimensions.
Cite
@article{arxiv.2502.17582,
title = {Dimension formulas for certain spaces of Drinfeld cusp forms},
author = {Gebhard Boeckle and Peter Mathias Graef and Iason Papadopoulos},
journal= {arXiv preprint arXiv:2502.17582},
year = {2025}
}
Comments
15 pages