English

On localization in Kronecker's diophantine theorem

Number Theory 2017-07-13 v1 Probability

Abstract

We study the localization problem appearing in Kronecker's diophantine theorem. We introduce a probabilistic approach allowing to extend for general \Q\Q-linearly independent sequences a result of T\'uran concerning the sequence (logp) (\log p_\ell), pp_\ell being the \ell-th prime.

Cite

@article{arxiv.0806.3990,
  title  = {On localization in Kronecker's diophantine theorem},
  author = {Michel Weber},
  journal= {arXiv preprint arXiv:0806.3990},
  year   = {2017}
}

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R2 v1 2026-06-21T10:54:01.557Z