Boris Adamczewski & Yann Bugeaud
On the Littlewood conjecture in fields of power series
Let $\k$ be a field. For any given badly approximable power series
$\Theta$ in $\k((X^{1}))$, we give an explicit construction of
continuum many badly approximable
power series $\Phi$ for which the pair $(\Theta, \Phi)$ satisfies
the Littlewood conjecture. We further discuss the Littlewood
conjecture for pairs of algebraic power series.
