“…We can formulate Diophantine approximation problems in this setting, with K[x], K(x), L, and T, playing roles analogous to Z, Q, R, and the quotient group R/Z, respectively. In the case where K is finite, the analog of the Littlewood conjecture in L is believed to be true, but still remains an open problem (see [1]). Explicit counterexamples were later given by Baker [2].…”