Abstract
We prove a Siegel type statement for finitely generated \(\phi\)-submodules of \(\mathbb{G}_a\) under the action of a Drinfeld module \(\phi\). This provides a positive answer to a question we asked in a previous paper. We also prove an analog for Drinfeld modules of a theorem of Silverman for nonconstant rational maps of \(\mathbb{P}^1\) over a number field.
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Ghioca, D., Tucker, T.J. Siegel’s theorem for Drinfeld modules. Math. Ann. 339, 37–60 (2007). https://doi.org/10.1007/s00208-007-0105-3
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DOI: https://doi.org/10.1007/s00208-007-0105-3