MathDB

2

Part of 1973 Kurschak Competition

Problems(1)

d(r) = distance of the nearest lattice point from circle (O,r)

Source: 1973 Hungary - Kürschák Competition p2

10/15/2022
For any positive real rr, let d(r)d(r) be the distance of the nearest lattice point from the circle center the origin and radius rr. Show that d(r)d(r) tends to zero as rr tends to infinity.
combinatoricscombinatorial geometrylattice