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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
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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.
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)
出处 《曲阜师范大学学报(自然科学版)》 CAS 2021年第4期43-50,共8页 Journal of Qufu Normal University(Natural Science)
关键词 圆法 奇异级数 例外集 主区间 余区间 circle method the singular series exceptional set major arcs minor arcs
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