标题:An improvement on Waring-Goldbach problem for unlike powers
作者:Liu, Z.
作者机构:School of Mathematics, Shandong University, Ji\'nan 250100, China
来源:Acta mathematica Hungarica
出版年:2011
期:1
页码:118-139
关键词:circle method;exceptional set;Waring-Goldbach problem
摘要:Let pi be prime numbers. In this paper, it is proved that for any integer k≧5, with at most O, exceptions, all positive even integers up to N can be expressed in the form p22+p33+p55+pkk. This improves the result O, for some c>0 due to Lu and Shan [12], and it is a generalization for a series of results of Ren and Tsang [15], [16] and Bauer [1-4] for the problem in the form p22+p33+p44+p55. This method can also be used for some other similar forms.
资源类型:期刊论文
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