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Article: Counting lattice points in the sphere

TitleCounting lattice points in the sphere
Authors
Issue Date2000
Citation
Bulletin Of The London Mathematical Society, 2000, v. 32 n. 6, p. 679-688 How to Cite?
AbstractWe consider the error term P3(R) = #{n ∈ ℤ3 : |n| ≤ R} - 4/3πR3 which occurs in the counting of lattice points in a sphere of radius R. By considering second and third power moments, we prove that P3(R) = Ω±(R√logR). An upper bound for the gap between the sign changes of P3(R) is also proved.
Persistent Identifierhttp://hdl.handle.net/10722/75461
ISSN
2015 Impact Factor: 0.789
2015 SCImago Journal Rankings: 1.474
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTsang, KMen_HK
dc.date.accessioned2010-09-06T07:11:20Z-
dc.date.available2010-09-06T07:11:20Z-
dc.date.issued2000en_HK
dc.identifier.citationBulletin Of The London Mathematical Society, 2000, v. 32 n. 6, p. 679-688en_HK
dc.identifier.issn0024-6093en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75461-
dc.description.abstractWe consider the error term P3(R) = #{n ∈ ℤ3 : |n| ≤ R} - 4/3πR3 which occurs in the counting of lattice points in a sphere of radius R. By considering second and third power moments, we prove that P3(R) = Ω±(R√logR). An upper bound for the gap between the sign changes of P3(R) is also proved.en_HK
dc.languageengen_HK
dc.relation.ispartofBulletin of the London Mathematical Societyen_HK
dc.titleCounting lattice points in the sphereen_HK
dc.typeArticleen_HK
dc.identifier.emailTsang, KM:kmtsang@maths.hku.hken_HK
dc.identifier.authorityTsang, KM=rp00793en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1112/S0024609300007505-
dc.identifier.scopuseid_2-s2.0-0038831427en_HK
dc.identifier.hkuros63187en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0038831427&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume32en_HK
dc.identifier.issue6en_HK
dc.identifier.spage679en_HK
dc.identifier.epage688en_HK
dc.identifier.isiWOS:000165978200007-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridTsang, KM=7201554731en_HK

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