Linear Relations Among Galois Conjugates Over ${\mathbb{F}}_q(t)$

Will Hardt, John Yin

We classify the coefficients $(a_1,...,a_n)\in {\mathbb{F}}_q[t{]}^n$ that can appear in a linear relation ${\sum }_{i=1}^n{a}_i{\gamma }_i=0$ among Galois conjugates $γ_i \in \overline{\mathbb…