一个混合幂型的华林-哥德巴赫问题的例外集  

The exceptional sets for a mixed powers problem of Waring-Goldbach type

作　　者：朱豆豆 ZHU Doudou(College of Mathematics and Statistics,North China University of Water Resources and Electric Power,450046,Zhengzhou,Henan,PRC)

机构地区：[1]华北水利水电大学数学与统计学院,河南省郑州市450046

出　　处：《曲阜师范大学学报（自然科学版）》2021年第4期43-50,共8页Journal of Qufu Normal University(Natural Science)

摘　　要：设N是充分大的正整数,证明了除O(N^(109/120+ε))个例外,所有不超过N的正奇数都可以表示为p1+p2^(3)+p3^(5),其中p 1,p 2,p 3为素数.Let N be a sufficiently large integer.It is proved that with at most O(N^(109/120+ε)) exceptions,all odd positive integers up to N can be represented in the form p1+p2^(3)+p3^(5),where p1,p2,p3 are prime numbers.

关 键 词：圆法 奇异级数 例外集 主区间 余区间 

分 类 号：O156.4[理学—数学]