Mean square discrepancy bounds for the number of lattice points in large convex bodies

Alex Iosevich, Eric T. Sawyer, Andreas Seeger

Type: Article

Publication Date: 2002-12-01

Citations: 27

DOI: https://doi.org/10.1007/bf02868475

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arXiv (Cornell University) - View - PDF
Journal d Analyse Mathématique - View

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Works Cited by This (25)

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+	On the distribution of the number of lattice points inside a family of convex ovals	1992	Pavel Bleher
+	Area, Lattice Points, and Exponential Sums	1996	M. N. Huxley
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+ PDF Chat	On the theorem of Jarník and Besicovitch	1981	Robert Kaufman
+ PDF Chat	On the lattice point problem for ellipsoids	1997	V. Bentkus Friedrich Götze
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+ PDF Chat	On the average order of the lattice rest of a convex body	1997	Wolfgang Müller
+	𝐿^{𝑝} boundedness of Fourier integral operators	1982	Robert M. Beals
+ PDF Chat	Estimates for the Fourier transform of the characteristic function of a convex set	1971	Ingvar L Svensson
+ PDF Chat	A lattice-point problem. II	1966	Burton Randol