Will Hardt

collaborators

2 papers

math.NT2025

Smyth's conjecture and a non-deterministic Hasse principle

Jordan S. Ellenberg, Will Hardt

In a 1986 paper, Smyth proposed a conjecture about which integer-linear relations were possible among Galois-conjugate algebraic numbers. We prove this conjecture. The main tools (…

math.NT2021

Linear Relations Among Galois Conjugates Over $F_{q} (t)$

Will Hardt, John Yin

We classify the coefficients $(a_{1}, ..., a_{n}) \in F_{q} [t]^{n}$ that can appear in a linear relation $\sum_{i = 1}^{n} a_{i} γ_{i} = 0$ among Galois conjugates $γ_i \in \overline{\mathbb…

Smyth's conjecture and a non-deterministic Hasse principle

Linear Relations Among Galois Conjugates Over Fq​(t)

Linear Relations Among Galois Conjugates Over $F_{q} (t)$