On the $t$-adic Littlewood Conjecture

Faustin Adiceam, Erez Nesharim, Fred Lunnon

The $p$-adic Littlewood Conjecture due to De Mathan and Teulié asserts that for any prime number $p$ and any real number $\alpha$, the equation $$\inf_{|m|\ge 1} |m|\cdot |m|_p\cdot |\l…