On special values of meromorphic Drinfeld modular forms of arbitrary rank at CM points

Yen-Tsung Chen; Oğuz Gezmiş

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arXiv · 2512.04490

On special values of meromorphic Drinfeld modular forms of arbitrary rank at CM points

Yen-Tsung Chen·Oğuz Gezmiş

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Abstract

In the present paper, we introduce meromorphic Drinfeld modular forms of arbitrary rank equipped with a particular arithmeticity property. We also study their special values at CM points and show the algebraic independence of these values under some conditions. Our results may be seen as a generalization of Chang's results on the special values of arithmetic Drinfeld modular forms in the rank two setting.

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Yen-Tsung Chen, Oğuz Gezmiş. 2025-12-04. On special values of meromorphic Drinfeld modular forms of arbitrary rank at CM points. https://arxiv.org/abs/2512.04490

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