Matrix-valued Hilbert modular forms

Enrico Da Ronche

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arXiv · 2505.16423

Matrix-valued Hilbert modular forms

Enrico Da Ronche

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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.

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Enrico Da Ronche. 2025-05-22. Matrix-valued Hilbert modular forms. https://arxiv.org/abs/2505.16423

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