Masser–Wüstholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank
Acta Arithmetica
MSC: Primary 11G09; Secondary 11G50
DOI: 10.4064/aa230628-20-11
Published online: 6 May 2024
Abstract
We give an explicit bound on the irreducibility of the mod-$\mathfrak l$ Galois representation for Drinfeld modules of arbitrary rank without complex multiplication. This is a function field analogue of the Masser–Wüstholz bound on irreducibility of the mod-$\ell $ Galois representation for elliptic curves over a number field.
