A Generalization of Sárközy's theorem in function fields

Pierre-Yves Bienvenu, Thái Hoàng Lê, Gauree Wathodkar

Sárközy's theorem says that if $A\subset \mathbb{Z}$ has positive upper asymptotic density, then there are distinct $a_1,a_2\in A$ and $n\in \mathbb{Z}$ such that $a_1-a_2 = n^…