On the average order of the lattice rest of a convex planar domain

DOI10.1017/S0305004100063179zbMath0552.10032OpenAlexW2127522056MaRDI QIDQ3344065

Werner Georg Nowak

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100063179

zbMATH Keywords

lattice restnumber of lattice pointscompact convex subsetmean value theoremslattice remainderconvex plane regions

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21)

Related Items (8)

Quadratic estimates for the number of integer points in convex bodies ⋮ Simultaneous visibility in the integer lattice ⋮ The mean lattice point discrepancy ⋮ Lattice points in a circle for generic unimodular shears ⋮ Mixed $L^{p}(L^{2})$ norms of the lattice point discrepancy ⋮ Mean lattice point discrepancy bounds. II: Convex domains in the plane ⋮ Mean square discrepancy bounds for the number of lattice points in large convex bodies ⋮ Fractional part sums and lattice points

Cites Work

• Die Poissonsche Summationsformel in mehreren Veränderlichen
• Über Integrale auf konvexen Körpern. I, II
• Unnamed Item

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