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Lattice point problems and the central limit theorem in Euclidean spaces

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Publication:1126817
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zbMath0906.60023MaRDI QIDQ1126817

Friedrich Götze

Publication date: 5 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223618


zbMATH Keywords

ellipsoids\(U\)-statisticsEdgeworth expansionirrational quadratic forms


Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Lattice points in specified regions (11P21)


Related Items (5)

Lattice point problem and questions of estimation and detection of smooth multivariate functions ⋮ On the mean square of the remainder for the Euclidean lattice point counting problem ⋮ On the generalized circle problem for a random lattice in large dimension ⋮ Convergence and asymptotic approximations to universal distributions in probability ⋮ On the Bethe-Sommerfeld conjecture for the polyharmonic operator.




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