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Displaying similar documents to “On the number of lattice points in certain planar segments”

The hyperbola x y = N

Javier Cilleruelo, Jorge Jiménez-Urroz (2000)

Journal de théorie des nombres de Bordeaux

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We include several results providing bounds for an interval on the hyperbola x y = N containing k lattice points.

Integer Points Close to a Smooth Curve

Trifonov, Ognian (1998)

Serdica Mathematical Journal

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∗ This research is partially supported by the Bulgarian National Science Fund under contract MM-403/9 We review the existing estimates for the number of integer points close to a smooth curve and improve on some of these.