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Showing 1 to 1 of 1 for “"P-ellipse"”.
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Asymptotically optimal shapes for counting lattice points and eigenvalues
… result implies when 1 < p < ∞ that among all p-ellipses (or Lamé curves), the p-circle x^p+y^p=r^p is asymptotically optimal for enclosing the most first-quadrant lattice points as the radius approaches infinity. The case p = 2 corresponds to minimization of high eigenvalues of the Dirichlet …