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Lattices in the sense of discrete subgroups of Euclidean spaces, as used in number theory, discrete geometry, Lie groups, etc. (Not to be confused with lattice theory or lattices as used in physics! For lattices (ordered sets), use the tag: [lattice-theory])

3 votes
1 answer
746 views

Gauss' Circle Problem at $\left ( \frac{1}{2}, \frac{1}{2} \right ) $

GCP (Gauss' Circle Problem) asks for a closed form for the number of square-lattice points inside a circle, centered at the origin, of radius $r$. Let's denote by $N(r)$ the number of these points. T …
1 vote
1 answer
531 views

Proof claimed of Gauss' Circle Problem

I just wanted to ask wether this problem has already been proved or not. I know that there are 2 other posts that deal with exactly the same question, but I decided to ask it again, since they are t …