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math.NT2026
Maximal Arboreal Galois Images for Polynomials of Twisted Carlitz Type
Mona Al Batrouni, Chien-Hua Chen
In this paper, we study the arboreal Galois representations for polynomials of twisted Carlitz type, whose first iterated Galois group is linked to the torsion of a twisted Carlitz…
math.NT2026
Frobenius Traces for Rank-2 Drinfeld Modules, Higher-Dimensional Galois Representations, and a Strong Multiplicity One Theorem in Positive Characteristic
Chien-Hua Chen
In this paper, we prove that if the Frobenius traces agree at all but finitely many places, then two -adic Galois representations, associated to rank- non-CM Drinfeld modules…