On special values of meromorphic Drinfeld modular forms of arbitrary rank at CM points
Number Theory
2025-12-05 v1
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.
Keywords
Cite
@article{arxiv.2512.04490,
title = {On special values of meromorphic Drinfeld modular forms of arbitrary rank at CM points},
author = {Yen-Tsung Chen and Oğuz Gezmiş},
journal= {arXiv preprint arXiv:2512.04490},
year = {2025}
}