On the correlations of directions in the Euclidean plane

Abstract

We study the correlations of directions $P_{0}P$ in the Euclidean plane, where $P_0$ is a point in a fixed disc, $P$ is an integer lattice point in the square $[-Q,Q{]}^2$, and $Q\to \infty$.

33 pages, 3 figures

References in corpus (1)

• The correlations of Farey fractions