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Showing 1 to 1 of 1 for “"Translated lattice"”.
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Asymptotically optimal shapes for counting lattice points and eigenvalues
… we aim to maximize the number of first-quadrant lattice points under a concave (or convex) curve with respect to reciprocal stretching in the coordinate directions. The optimal domain is shown to be asymptotically balanced, meaning that the optimal stretch factor approaches 1 as the ""radius"" …