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Article: Waring-Goldbach problem for Unlike Powers (II)

TitleWaring-Goldbach problem for Unlike Powers (II)
混合方次的Waring-Goldbach問題 (II)
Authors
Ren, XTsang, KM
KeywordsWaring-Goldbach problem (Waring-Goldbach問題)
Circle method (圓法)
Exceptional set (例外集)
Issue Date2007
PublisherShu xue xue bao bian wei hui (數學學報編委會). The Journal's web site is located at http://www.actamath.com/Jwk_sxxb_cn/CN/volumn/home.shtml
Citation
Acta Mathematica Sinica, Chinese Series, 2007, v. 50 n. 1, p. 175-182 How to Cite?
數學學報, 2007, v. 50 n. 1, p. 175-182 How to Cite?
AbstractIn this paper, we are concerned with Waring-Goldbach problems for unlike powers. It is proved that with at most O(N47/48+∈) exceptions, all even positive integers up to N are expressible in the form p22 + p33 + p44+P55.
研究混合方次的Waring-Goldbach問題,證明除了至多O(N47/48+ε)個例外,所有不超過N的偶數均可表為素數的2,3,4,5次方之和．
Persistent Identifierhttp://hdl.handle.net/10722/75254
ISSN
0583-1431
2023 SCImago Journal Rankings: 0.143

 

DC FieldValueLanguage
dc.contributor.authorRen, Xen_HK
dc.contributor.authorTsang, KMen_HK
dc.date.accessioned2010-09-06T07:09:24Z-
dc.date.available2010-09-06T07:09:24Z-
dc.date.issued2007en_HK
dc.identifier.citationActa Mathematica Sinica, Chinese Series, 2007, v. 50 n. 1, p. 175-182en_HK
dc.identifier.citation數學學報, 2007, v. 50 n. 1, p. 175-182-
dc.identifier.issn0583-1431-
dc.identifier.urihttp://hdl.handle.net/10722/75254-
dc.description.abstractIn this paper, we are concerned with Waring-Goldbach problems for unlike powers. It is proved that with at most O(N47/48+∈) exceptions, all even positive integers up to N are expressible in the form p22 + p33 + p44+P55.-
dc.description.abstract研究混合方次的Waring-Goldbach問題,證明除了至多O(N47/48+ε)個例外,所有不超過N的偶數均可表為素數的2,3,4,5次方之和．-
dc.languagechien_HK
dc.publisherShu xue xue bao bian wei hui (數學學報編委會). The Journal's web site is located at http://www.actamath.com/Jwk_sxxb_cn/CN/volumn/home.shtml-
dc.relation.ispartofActa Mathematica Sinica, Chinese Seriesen_HK
dc.relation.ispartof數學學報-
dc.subjectWaring-Goldbach problem (Waring-Goldbach問題)-
dc.subjectCircle method (圓法)-
dc.subjectExceptional set (例外集)-
dc.titleWaring-Goldbach problem for Unlike Powers (II)en_HK
dc.title混合方次的Waring-Goldbach問題 (II)-
dc.typeArticleen_HK
dc.identifier.emailTsang, KM: kmtsang@maths.hku.hken_HK
dc.identifier.authorityTsang, KM=rp00793en_HK
dc.identifier.hkuros135259en_HK
dc.identifier.volume50-
dc.identifier.issue1-
dc.identifier.spage175-
dc.identifier.epage182-
dc.publisher.placeBeijing (北京)-
dc.identifier.issnl0583-1431-

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