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Article: Upper bounds on n-dimensional Kloosterman sums

TitleUpper bounds on n-dimensional Kloosterman sums
Authors
KeywordsKloosterman sums
Issue Date2004
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jnt
Citation
Journal of Number Theory, 2004, v. 106 n. 2, p. 259-274 How to Cite?
AbstractLet pm be any prime power and Kn(a,pm) be the Kloosterman sum , where the xi are restricted to values not divisible by p. Let m,n be positive integers with m2 and suppose that pγ||(n+1). We obtain the upper bound |Kn(a,pm)|(n+1,p−1)p1/2min(γ,m−2)pmn/2, for odd p. For p=2 we obtain the same bound, with an extra factor of 2 inserted.
Persistent Identifierhttp://hdl.handle.net/10722/48609
ISSN
2015 Impact Factor: 0.596
2015 SCImago Journal Rankings: 0.858
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorCochrane, Ten_HK
dc.contributor.authorLiu, MCen_HK
dc.contributor.authorZheng, Zen_HK
dc.date.accessioned2008-05-22T04:18:52Z-
dc.date.available2008-05-22T04:18:52Z-
dc.date.issued2004en_HK
dc.identifier.citationJournal of Number Theory, 2004, v. 106 n. 2, p. 259-274en_HK
dc.identifier.issn0022-314Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/48609-
dc.description.abstractLet pm be any prime power and Kn(a,pm) be the Kloosterman sum , where the xi are restricted to values not divisible by p. Let m,n be positive integers with m2 and suppose that pγ||(n+1). We obtain the upper bound |Kn(a,pm)|(n+1,p−1)p1/2min(γ,m−2)pmn/2, for odd p. For p=2 we obtain the same bound, with an extra factor of 2 inserted.en_HK
dc.format.extent1603826 bytes-
dc.format.extent443 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jnten_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectKloosterman sumsen_HK
dc.titleUpper bounds on n-dimensional Kloosterman sumsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-314X&volume=106&issue=2&spage=259&epage=274&date=2004&atitle=Upper+bounds+on+n-dimensional+Kloosterman+sums+en_HK
dc.identifier.emailLiu, MC: matmcliu@yahoo.comen_HK
dc.description.naturepostprinten_HK
dc.identifier.doi10.1016/j.jnt.2003.09.011en_HK
dc.identifier.scopuseid_2-s2.0-2942562250-
dc.identifier.hkuros87404-
dc.identifier.isiWOS:000221550500005-

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