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The Exceptional Set for Sums of Unlike Powers of Primes

The Exceptional Set for Sums of Unlike Powers of Primes
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摘要 It is established that all even positive integers up to N but at most O(N15/16+ε) exceptions can be expressed in the form p1^2+ p2^3+ p3^4+ p4^5,where p1,p2,p3 and p4 are prime numbers. It is established that all even positive integers up to N but at most O(N15/16+ε) exceptions can be expressed in the form p1^2+ p2^3+ p3^4+ p4^5,where p1,p2,p3 and p4 are prime numbers.
作者 Li Lu ZHAO
机构地区 School of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第11期1897-1904,共8页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China(Grant No.11326205)
关键词 Circle method Waring–Goldbach problem exceptional set Circle method Waring–Goldbach problem exceptional set
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