On the representation of large integers as sums of four almost equal squares of primes
On the representation of large integers as sums of four almost equal squares of primes
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DOI：
10.1007/s11139-007-9038-4
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
G. Lü;W. Zhai
中科院分区：
文献类型：
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作者：
G. Lü;W. Zhai
本文给出了关于与4模24全数的大整数可以写成四个素数平方和的猜想的两个局域结果。该证明是基于对短区间内质数上的指数和的新估计和一种求圆法中扩大长弧上渐近公式的技术。
In this paper, we are able to establish two localized results on the conjecture that each large integer congruent to 4 modulo 24 can be written as the sum of four squares of primes. The proof is based on the new estimates for exponential sums over primes in short intervals and a technique to get the asymptotic formula on the enlarged major arcs in the circle method.