Matrix-valued Hilbert modular forms
Number Theory
2025-05-23 v1
Abstract
In this paper we generalize the notion of logarithmic vector-valued modular form in order to give a general definition of matrix-valued Hilbert modular forms. We prove that they admit unique polynomial Fourier expansions and we build examples in some particular cases.
Cite
@article{arxiv.2505.16423,
title = {Matrix-valued Hilbert modular forms},
author = {Enrico Da Ronche},
journal= {arXiv preprint arXiv:2505.16423},
year = {2025}
}
Comments
12 pages