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Suppose we are given a Drinfeld Module $\phi$ over $\mathbb{F}_q(t)$ of rank$r$ and a prime ideal $\mathfrak{l}$ of $\mathbb{F}_q[T]$. In this paper, weprove that the reducibility of mod $\mathfrak{l}$ Galois representation$${\rm{Gal}}(\mathbb{F}_q(T)^{\rm{sep}}/\mathbb{F}_q(T))\rightarrow{\rm{Aut}}(\phi[\mathfrak{l}])\cong {\rm{GL}}_r(\mathbb{F}_\mathfrak{l})$$gives a bound on the degree of $\mathfrak{l}$ which depends only on the rank$r$ of Drinfeld module $\phi$ and the minimal degree of place $\mathcal{P}$where $\phi$ has good reduction at $\mathcal{P}$. Then, we apply thisreducibility bound to study the Drinfeld module analogue of Serre's uniformityproblem.

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