Masser-Wüstholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank

Abstract

In this paper, we give an explicit bound on the irreducibility of mod-$\mathfrak{l}$ Galois representation for Drinfeld modules of arbitrary rank without complex multiplication. This is a function field analogue of Masser-Wüstholz bound on irreducibility of mod-$\ell$ Galois representation for elliptic curves over number field.

8 pages