Chien-Hua Chen

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20202023

most citedSurjectivity of the adelic Galois Representation associated to a Drinfeld Module of prime rank

1 citations · 1 across the 6 of their papers we have counts for

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math.NT2021★ 1 cited

Surjectivity of the adelic Galois Representation associated to a Drinfeld Module of prime rank

Chien-Hua Chen

In this paper, let $ϕ$ be the Drinfeld module over $F_{q} (T)$ of prime rank $r$ defined by $ϕ_{T} = T + τ^{r - 1} + T^{q - 1} τ^{r} .$ We prove that under certain condition on $\mathbb{…

math.NT2021

Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2

Chien-Hua Chen

In this paper, we study the surjectivity of adelic Galois representation associated to Drinfeld $F_{q} [T]$ -modules over $F_{q} (T)$ of rank $2$ in the cases when $q$ i…

math.NT2021

An explicit bound on reducibility of mod $l$ Galois image for Drinfeld modules of arbitrary rank and its application on the uniformity problem

Chien-Hua Chen

Suppose we are given a Drinfeld Module $ϕ$ over $F_{q} (t)$ of rank $r$ and a prime ideal $l$ of $F_{q} [T]$ . In this paper, we prove that the reducibility o…

Surjectivity of the adelic Galois Representation associated to a Drinfeld Module of prime rank

Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2

An explicit bound on reducibility of mod l Galois image for Drinfeld modules of arbitrary rank and its application on the uniformity problem

An explicit bound on reducibility of mod $l$ Galois image for Drinfeld modules of arbitrary rank and its application on the uniformity problem