Combinatorics on Number Walls and the $P(t)$-adic Littlewood Conjecture

Steven Robertson

For any prime $p$ and real number and $\alpha$, the $p$-adic Littlewood Conjecture due to de Mathan and Teulié asserts that \[\inf_{|m|\ge1}|m|_p\cdot |m|\cdot |\left\langleαm\right\ran…