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.
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).
