Asymptotics of variance of the lattice point count

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SYSNO ASEP	0315417
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Asymptotics of variance of the lattice point count
Title	Asymptotika variance počtu mřížových bodů
Author(s)	Janáček, Jiří (FGU-C)_{RID, ORCID}
Source Title	Czechoslovak Mathematical Journal. - : Springer - ISSN 0011-4642 Roč. 58, č. 3 (2008), s. 751-758
Number of pages	8 s.
Language	eng - English
Country	CZ - Czech Republic
Keywords	point lattice ; variance
Subject RIV	BA - General Mathematics
R&D Projects	IAA100110502 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z50110509 - FGU-C (2005-2011)
UT WOS	000261955600013
DOI	10.1007/s10587-008-0049-0
Annotation	The aim of the paper is proof, that variance of number of lattice points inside the dilated bounded set rD with random position has asymptotics proportional to r^d-1 if the rotational average of quadrate of the modulus of the Fourier transform of the set is O(r^-d-1). The applications of the results are estimation of precision of estimates of volume by counting lattice points inside the set
Workplace	Institute of Physiology
Contact	Lucie Trajhanová, lucie.trajhanova@fgu.cas.cz, Tel.: 241 062 400
Year of Publishing	2009

Number of the records: 1