= Gauss circle problem
{wiki=Gauss_circle_problem}
The Gauss circle problem is a classic problem in number theory and geometry that involves estimating the number of lattice points (points with integer coordinates) that lie within a circle of a certain radius centered at the origin in the Cartesian coordinate plane. More specifically, the problem asks how many integer points \\((x, y)\\) satisfy the inequality: \\\[ x^2 + y^2 \\leq r^2 \\\] where \\(r\\) is the radius of the circle.
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