On the Waring-Goldbach problem for one cube and nine biquadrates  

作　　者：Jinjiang LI Min ZHANG 

机构地区：[1]School of Science,China University of Mining and Technology(Beijing),Beijing 100083,China [2]School of Applied Science,Beijing Information Science and Technology University,Beijing 100192,China

出　　处：《Frontiers of Mathematics in China》2024年第4期229-246,共18页中国高等学校学术文摘·数学（英文）

摘　　要：Let N be a sufficiently large integer.In this paper,it is proved that with at most O(N17/18+ε)exceptions,all positive integers satisfying some necessary congruence conditions up to N can be represented in the form p_(1)^(3)+p_(2)^(4)+p_(3)^(4)+p_(5)^(4)+p_(6)^(4)+p_(7)^(4)+p_(8)^(4)+p_(9)^(4)+p_(10)^(4),where p1,p2,…,P_(10)are prime numbers.

关 键 词：Waring-Goldbach problem Hardy-Littlewood method exceptional set 

分 类 号：O18[理学—数学]