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Primitive lattice points in planar domains
"... Let D be a compact convex set in R2, containing 0 as an interior point, having a smooth boundary curve C with nowhere vanishing curvature. How many primitive lattice points (m,n) (m ∈ Z, n ∈ Z, m, n coprime) are in√ xD for large x? If we write AD(x) for the number of such primitive points, ..."
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Let D be a compact convex set in R2, containing 0 as an interior point, having a smooth boundary curve C with nowhere vanishing curvature. How many primitive lattice points (m,n) (m ∈ Z, n ∈ Z, m, n coprime) are in√ xD for large x? If we write AD(x) for the number of such primitive points,