Lattice points on ellipses
Let \(d\) be a positive integer. The author considers the number of lattice points on small arcs of ellipses \(x^ 2+ dy^ 2=n\). The main result can be described as follows: Consider an arc of length \(n^{1/4- \varepsilon}\) on the ellipse. Then, for every \(\varepsilon>0\), there is a finite constant \(C\) such that the arc contains no more than \(C\) lattice points.
scientific article; zbMATH DE number 755394