On Sums of a Prime and Four Prime Squares in Short Intervals  

作　　者：Guang Shi LU Xian Meng MENG 

机构地区：[1]Department of Mathematics, Shandong University, Ji'nan 250100, P. R. China [2]Department of Statistics and Mathematics, Shandong Finance Institute, Ji'nan 250014, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2008年第8期1291-1302,共12页数学学报（英文版）

基　　金：the National Natural Science Foundation of China (Grant No.10701048)

摘　　要：In this paper, we prove that each sufficiently large integer N ≠1（mod 3） can be written as N=p＋p1^2＋p2^2＋p3^2＋p4^2, with｜p-N/5｜≤U,｜pj-√N/5｜≤U,j=1,2,3,4,where U=N^2/20＋c and p,pj are primes.In this paper, we prove that each sufficiently large integer N ≠1（mod 3） can be written as N=p＋p1^2＋p2^2＋p3^2＋p4^2, with｜p-N/5｜≤U,｜pj-√N/5｜≤U,j=1,2,3,4,where U=N^2/20＋c and p,pj are primes.

关 键 词：exponential sums over primes circle method PRIME 

分 类 号：O123.1[理学—数学]