On the P(t)-adic Littlewood conjecture in odd characteristics
Abstract
The P(t)-adic Littlewood conjecture is a function field analogue of the famous p-adic Littlewood conjecture in Diophantine approximation. In this paper, we prove that the P(t)-adic Littlewood conjecture fails for any irreducible polynomial P(t) over any ground field of odd characteristic.
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