Visible lattice points and the Extended Lindelöf Hypothesis

Abstract

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

11 pages

References in corpus (1)

• The exact order of the number of lattice points visible from the origin

Cited by in corpus (5)

• Uniform bounds of Piltz divisor problem over number fields
• The distribution of lattice points with relatively r-prime
• Uniform upper bounds of the distribution of relatively r-prime lattice points
• Counting ideals in abelian number fields
• Discrete Measures and the Extended Riemann Hypothesis