Slim exceptional set for sums of two squares, two cubes, and two biquadrates of primes  

作　　者：Rui ZHANG 

机构地区：[1]School of Mathematics,Tianjin University,Tianjin 300350,China

出　　处：《Frontiers of Mathematics in China》2019年第5期1017-1035,共19页中国高等学校学术文摘·数学（英文）

基　　金：The author would like to express the most sincere gratitude to Prof.Zhixin Liu for his valuable advice and constant encouragement;This work was supported by the National Natural Science Foundation of China(Grant No.11871367).

摘　　要：We prove that,with at most O(N17/192+ε)exceptions,all even positive integers up to N are expressible in the form P1^2+P2^2+P3^3+P5^4+P6^4,where Pi,P2,……,P6 are prime numbers.This gives large improvement of a recent result 0(N13/16+ε)due to M.Zhang and J.J.Li.

关 键 词：Waring-Goldbach problem circle method exceptional set 

分 类 号：O15[理学—数学]