Counterexamples to the $p(t)$-adic Littlewood Conjecture Over Small Finite Fields

Samuel Garrett, Steven Robertson

In 2004, de Mathan and Teulié stated the $p$-adic Littlewood Conjecture ($p$-$LC$) in analogy with the classical Littlewood Conjecture. Given a field $\mathbb{K}$ and an irreducib…