The integer points close to a curve

DOI10.1112/S0025579300013073zbMath0659.10032MaRDI QIDQ3808164

Martin N. Huxley

Publication date: 1989

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

smooth curvediophantine inequalitiesnumber of integer pointssmall fractional partsexponential sum methods

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Small fractional parts of polynomials and generalizations (11J54) Trigonometric and exponential sums (general theory) (11L03)

Related Items (3)

Integer points in the neighborhood of a plane curve of class \(C^n\). II ⋮ Bounding the number of lattice points near a convex curve by curvature ⋮ Unnamed Item

Cites Work

• An elementary approach to short interval results for \(k\)-free numbers
• The number of lattice points on a convex curve

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