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An Additive Problem on Piatetski-Shapiro Primes
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Acta Mathematica Sinica,English Series 2018年 第2期34卷 255-264页
作者： Ya Ming LU School of Mathematics and Statistics Xi’an Jiaotong University
In this paper, we will prove for 0.9993 〈 γ〈 1 that there are infinitely primes p of the form [n1/γ] with p ＋ 2 having at most four prime factors.
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A Hybrid of Theorems of Goldbach and Piatetski-Shapiro
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Chinese Annals of Mathematics,Series B 2006年 第3期27卷 341-352页
作者： Xianmeng MENG Mingqiang WANG School of Computer Science and Technology, Shandong University, Jinan 250100, China Department of Statistics and Mathematics, Shandong Finance Institute, Jinan 250014, China. School of Computer Science and Technology, Shandong University, Jinan 250100, China Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, China. School of Computer Science and Technology Shandong University Jinan 250100 China Department of Statistics and Mathematics Shandong Finance Institute Jinan 250014 China Department of Mathematics Qufu Normal University Qufu 273165 Shandong China
It is proved that for almost all sufficiently large even integers n, the prime variable equation n = p1 ＋ p2, p1 ∈ Pγ is solvable, with 13/15 〈γ≤ 1, where Pγ = {p ｜p = [m^1/γ], for integer m and prime p} is t... 详细信息
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Chen's Theorem with Small Primes
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Chinese Annals of Mathematics,Series B 2011年 第3期32卷 387-396页
作者： Yingjie LI Yingchun CAI College of Information Technology Shanghai Ocean University Shanghai 201306 China Department of Mathematics Tongji University Shanghai 200092 China
Let N be a sufficiently large even *** p denote a prime and P2 denote an almost prime with at most two prime *** this paper,it is proved that the equation N = p + P2(p ≤ N0.945) is solvable.
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