Asymptotics of variance of the lattice point count

DOI10.1007/s10587-008-0049-0zbMath1174.60002arXivmath/0703415OpenAlexW1993413366MaRDI QIDQ3624916

Jiří Janáček

Publication date: 6 May 2009

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703415

zbMATH Keywords

volumeFourier transformvariancepoint lattice

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Lattices and convex bodies (number-theoretic aspects) (11H06)

Cites Work

• Unnamed Item
• Number of lattice points in families of homothetic domains in \(R^ n\)
• Sharp rate of average decay of the Fourier transform of a bounded set
• On Set Covariance and Three-Point Test Sets
• ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL
• ON THE NUMBER OF POINTS OF A GIVEN LATTICE IN A RANDOM HYPERSPHERE
• Fourier Transforms. (AM-19)

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