Visible lattice points and the Extended Lindel\"of Hypothesis

Wataru Takeda

doi:10.1016/j.jnt.2017.04.002

Visible lattice points and the Extended Lindel\"of Hypothesis

Number Theory 2017-08-14 v2

Authors: Wataru Takeda

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Abstract

We consider the number of visible lattice points under the assumption of the Extended Lindel\"{o}f Hypothesis. We get a relation between visible lattice points and the Extended Lindel\"{o}f Hypothesis. And we also get a relation between visible lattice points over $\mathbf{Q}(\sqrt{-1})$ and the Gauss Circle Problem.

Keywords

visible lattice points extended Lindelöf hypothesis Gauss circle problem number theory

Cite

@article{arxiv.1612.00087,
  title  = {Visible lattice points and the Extended Lindel\"of Hypothesis},
  author = {Wataru Takeda},
  journal= {arXiv preprint arXiv:1612.00087},
  year   = {2017}
}

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11 pages

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