On the P(t)-adic Littlewood conjecture in odd characteristics
classification
🧮 math.NT
math.AG
keywords
adicconjecturelittlewoodfieldanalogueapproximationcharacteristiccharacteristics
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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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