Visible lattice points and the Extended Lindel\"of Hypothesis
Wataru Takeda

TL;DR
This paper explores the connection between visible lattice points, the Extended Lindel"of Hypothesis, and the Gauss Circle Problem, providing new insights into their interrelations under certain hypotheses.
Contribution
It establishes a relation between visible lattice points and the Extended Lindel"of Hypothesis, and links visible lattice points over (4) with the Gauss Circle Problem.
Findings
Derived a relation between visible lattice points and the Extended Lindel"of Hypothesis.
Connected visible lattice points over (4) with the Gauss Circle Problem.
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 and the Gauss Circle Problem.
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