English

On Bourgain's bound for short exponential sums and squarefree numbers

Number Theory 2014-07-14 v1

Abstract

We use Bourgain's recent bound for short exponential sums to prove certain independence results related to the distribution of squarefree numbers in arithmetic progressions.

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Cite

@article{arxiv.1407.2947,
  title  = {On Bourgain's bound for short exponential sums and squarefree numbers},
  author = {Ramon M. Nunes},
  journal= {arXiv preprint arXiv:1407.2947},
  year   = {2014}
}

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16 pages