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九个几乎相等的素数的立方之和

Sums of nine almost equal prime cubes
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摘要 证明了每个充分大的奇数N可以表为九个几乎相等的素数的立方之和,即N=p13+…+p93,这里|pj-3N9|U=N13-1918+ε,其中pj(1 j 9)是素数.这一结果与先前在广义黎曼猜想下得到的结果一样强. Proving that each sufficiently large odd integer N can be written as N=p1^3+…+p9^3. with Ipj-3√N/3≤U=N ^1/3-1/198+e, where Pj are primes. This sharpens Hua's result and is as good as what was previously derived from the Generalized Riemann Hypothesis(GRH).
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2006年第2期59-62,68,共5页 Journal of Shandong University(Natural Science)
基金 数学天元基金资助项目(10526028)
关键词 堆垒素数论 圆法 迭代方法 additive theory of prime numbers circle method iterative method
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