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Waring-Goldbach problem for Unlike Powers (II)

descriptionPublicationkeyboard_double_arrow_right Article 06 Sep 2010 China (People's Republic of) chi Publisher:Shu 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
Authors: Ren, X; Tsang, KM;

handle: 10722/75254

Waring-Goldbach problem for Unlike Powers (II)

Abstract

In 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．

Country
China (People's Republic of)
Related Organizations
Keywords

Circle method (圓法), Waring-Goldbach problem (Waring-Goldbach問題), Exceptional set (例外集)

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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