摘要
It is proved that every large integer N≡5（mod24）can be written as N=p<sub>1</sub><sup>2</sup>+…+p<sub>5</sub><sup>2</sup> with each prime p<sub>j</sub> satisfying |p<sub>J</sub>-（N/5|）<sup>1/2</sup>≤N<sup>11/23</sup>.This gives a short interval version of Hua’s theorem on the quadratic Waring-Goldbach problem
It is proved that every large integer N≡5（mod24）can be written as N=p<sub>1</sub><sup>2</sup>+…+p<sub>5</sub><sup>2</sup> with each prime p<sub>j</sub> satisfying |p<sub>J</sub>-（N/5|）<sup>1/2</sup>≤N<sup>11/23</sup>.This gives a short interval version of Hua’s theorem on the quadratic Waring-Goldbach problem
基金
Supported by MCSEC and the National Natural Science Foundation (Grant No. 19701019)
Supported by MCSFC and the National Natural Science Foundation
