A Note on the Base-$p$ Expansions of Putative Counterexamples to the $p$-adic Littlewood Conjecture

John Blackman, Simon Kristensen, Matthew J. Northey

In this paper, we investigate the base-$p$ expansions of putative counterexamples to the $p$-adic Littlewood conjecture of de Mathan and Teulié. We show that if a counterexample ex…