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Article: Large values of error terms of a class of arithmetical functions

TitleLarge values of error terms of a class of arithmetical functions
Authors
Lau, YKTsang, KM
Issue Date2002
PublisherWalter de Gruyter GmbH & Co KG.
Citation
Journal Fur Die Reine Und Angewandte Mathematik, 2002 n. 544, p. 25-38 How to Cite?
DOI: http://dx.doi.org/10.1515/crll.2002.026
AbstractWe consider the error terms of a class of arithmetical functions whose Dirichlet series satisfy a functional equation with multiple gamma factors. Our aim is to establish Ω± results to a subclass of these arithmetical functions with a good localization of the occurrence of the extreme values. As applications, we improve the Ω± results of some special 3-dimensional ellipsoids of other writers and extend our result to other ellipsoids.
Persistent Identifierhttp://hdl.handle.net/10722/75310
ISSN
0075-4102
2023 Impact Factor: 1.2
2023 SCImago Journal Rankings: 1.894
ISI Accession Number ID
WOS:000174652100003
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorLau, YKen_HK
dc.contributor.authorTsang, KMen_HK
dc.date.accessioned2010-09-06T07:09:55Z-
dc.date.available2010-09-06T07:09:55Z-
dc.date.issued2002en_HK
dc.identifier.citationJournal Fur Die Reine Und Angewandte Mathematik, 2002 n. 544, p. 25-38en_HK
dc.identifier.issn0075-4102en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75310-
dc.description.abstractWe consider the error terms of a class of arithmetical functions whose Dirichlet series satisfy a functional equation with multiple gamma factors. Our aim is to establish Ω± results to a subclass of these arithmetical functions with a good localization of the occurrence of the extreme values. As applications, we improve the Ω± results of some special 3-dimensional ellipsoids of other writers and extend our result to other ellipsoids.en_HK
dc.languageengen_HK
dc.publisherWalter de Gruyter GmbH & Co KG.en_HK
dc.relation.ispartofJournal fur die Reine und Angewandte Mathematiken_HK
dc.rights© Walter de Gruyter Berlin · New York 2002. The final publication is available at www.degruyter.com-
dc.titleLarge values of error terms of a class of arithmetical functionsen_HK
dc.typeArticleen_HK
dc.identifier.emailLau, YK:yklau@maths.hku.hken_HK
dc.identifier.emailTsang, KM:kmtsang@maths.hku.hken_HK
dc.identifier.authorityLau, YK=rp00722en_HK
dc.identifier.authorityTsang, KM=rp00793en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1515/crll.2002.026-
dc.identifier.scopuseid_2-s2.0-0036102764en_HK
dc.identifier.hkuros66887en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036102764&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.issue544en_HK
dc.identifier.spage25en_HK
dc.identifier.epage38en_HK
dc.identifier.isiWOS:000174652100003-
dc.publisher.placeGermanyen_HK
dc.identifier.scopusauthoridLau, YK=35724053400en_HK
dc.identifier.scopusauthoridTsang, KM=7201554731en_HK
dc.identifier.issnl0075-4102-

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