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Hua's Theorem on Five Almost Equal Prime Squares 被引量:1

Hua's Theorem on Five Almost Equal Prime Squares
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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.
作者 Guang Shi L
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第3期907-916,共10页 数学学报(英文版)
基金 Supported by Tianyuan Mathematics Foundation(Grant No.10526028) the NSF of China(Grant Nos.10301018,10571107)
关键词 Additive theory of prime numbers Circle method iterative method Additive theory of prime numbers, Circle method, iterative method
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