In this paper, we establish a Hua-Like theorem in some kind of semirings. This can be regarded as a generalized version of Hua＇s theorem from rings to semirings.
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> s...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展开更多
基金Supported by the National Natural Science Foundation of China （10871161, 11371177）.
文摘In this paper, we establish a Hua-Like theorem in some kind of semirings. This can be regarded as a generalized version of Hua＇s theorem from rings to semirings.
基金Supported by MCSEC and the National Natural Science Foundation (Grant No. 19701019) Supported by MCSFC and the National Natural Science Foundation
文摘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
