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- W2108335099 abstract "Let $mathcal A$ be a star-shaped polygon in the plane, with rational vertices, containing the origin. The number of primitive lattice points in the dilate $tmathcal A$ is asymptotically $frac6{pi^2}$ Area$(tmathcal A)$ as $tto infty$. We show that the error term is both $Omega_pmbig( tsqrt{loglog t} big)$ and $O(t(log t)^{2/3}(loglog t)^{4/3})$. Both bounds extend (to the above class of polygons) known results for the isosceles right triangle, which appear in the literature as bounds for the error term in the summatory function for Euler's $phi(n)$." @default.
- W2108335099 created "2016-06-24" @default.
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- W2108335099 date "2015-09-07" @default.
- W2108335099 modified "2023-10-06" @default.
- W2108335099 title "Primitive points in lattice polygons" @default.
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