摘要
In this paper we sharpen Hua's result by proving that each sufficiently large integer N congruent to 5 modulo 24 can be written as N=p1^2+p2^2+p3^2+p4^2+p5^2,with │pj-√N/5│≤U=N^1/2-1/28+ε,where pj are primes.
In this paper we sharpen Hua's result by proving that each sufficiently large integer N congruent to 5 modulo 24 can be written as N=p1^2+p2^2+p3^2+p4^2+p5^2,with │pj-√N/5│≤U=N^1/2-1/28+ε,where pj are primes.
基金
Supported by Tianyuan Mathematics Foundation(Grant No.10526028)
the NSF of China(Grant Nos.10301018,10571107)