Mathematics – Number Theory
Scientific paper
2008-06-24
Mathematics
Number Theory
12
Scientific paper
We study the localization problem appearing in Kronecker's diophantine
theorem.
We introduce a probabilistic approach allowing to extend for general
$\Q$-linearly independent sequences a result of T\'uran concerning the sequence
$ (\log p_\ell)$, $p_\ell$ being the $\ell$-th prime.
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