Siegel's theorem for Drinfeld modules

2007/04/11 by Dragos Ghioca, Ghioca, Dragos, Thomas J. Tucker +1
Mathematics · #11G50 #11J68 #37F10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0704.1331

openalex publication_date 2007/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove an analog of Siegel's theorem for integral points in the context of Drinfeld modules. The result holds for finitely generated submodules of the additive group over a function field of transcendence dimension 1.

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