混合方幂的华林-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 Dou-dou(College of Mathematics and Statistics,North China University of Water Resourcesand Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《兰州文理学院学报（自然科学版）》2022年第2期10-17,共8页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：设N是充分大的正整数,证明了除O(N 4409/6720+ε)个例外,所有不超过N的正偶数都可以表示为p_(1)+p_(2)^(3)+p_(3)^(5)+p_(4)^(7),其中p_(1),p_(2),p_(3),p_(4)为素数.LetNbe a sufficiently large integer.It is proved that with at most O(N 4409/6720+ε) exceptions,all even positive integers up toNcan be represented in the form p_(1)+p_(2)^(3)+p_(3)^(5)+p_(4)^(7),where p_(1),p_(2),p_(3),p_(4)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]