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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa 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 …