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arXiv · 2403.15109

Natural density of rank-$2$ Drinfeld modules with big Galois image

Chien-Hua Chen
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Abstract

In this paper, we compute the natural density of rank-$1$ Drinfeld module over $\mathbb{F}_q[T]$ with surjective adelic Galois representation; and the natural density of rank-$2$ Drinfeld modules over $\mathbb{F}_q[T]$ whose $\mathfrak{l}$-adic Galois image containing the special linear subgroup for finitely many prime ideal $\mathfrak{l}$.

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Chien-Hua Chen. 2024-03-22. Natural density of rank-$2$ Drinfeld modules with big Galois image. https://arxiv.org/abs/2403.15109

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