On integer points in polygons

DOI10.5802/aif.1333zbMath0779.11041OpenAlexW2333492527MaRDI QIDQ5894730

Maxim M. Skriganov

Publication date: 23 January 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_2_313_0

zbMATH Keywords

lattice point problemanomaly small error termsirrational polygons

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21) Irregularities of distribution, discrepancy (11K38)

Related Items (7)

Fundamental rectangles of admissible lattices ⋮ LATTICE POINTS IN VECTOR-DILATED ALGEBRAIC POLYTOPES ⋮ Average decay of Fourier transforms and integer points in polyhedra ⋮ Unnamed Item ⋮ NUMBER-THEORETIC METHOD IN APPROXIMATE ANALYSIS ⋮ Cyclic polytope of the simplest cubic fields ⋮ Lattice points in algebraic cross-polytopes and simplices

Cites Work

• Diophantine approximation
• Nombre de points entiers dans une famille homothétique de domaines de ${R}$
• On logarithmically small errors in the lattice point problem
• A Lattice-Point Problem. II
• On the Fourier Transform of the Indicator Function of a Planar Set
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