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Let $\alpha,\beta \in \mathbb{R}$. Is it true that \[\liminf_{n\to \infty} n \| n\alpha \| \| n\beta\| =0\] where $\|x\|$ is the distance from $x$ to the nearest integer?
#495
:
[Er61]
diophantine approximation
,
number theory
The infamous
Littlewood conjecture
.
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