A Hybrid of Theorems of Goldbach and Piatetski-Shapiro
被引量：1
A Hybrid of Theorems of Goldbach and Piatetski-Shapiro
摘要
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 the set of the Piatetski-Shapiro primes.
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.
基金
Project supported by the Foundation of Shandong Provincial Education Department in China (No.03F06)
the Grant for Doctoral Fellows in Shandong Finance Institute
参考文献10
-
1Li, H. Z., A hybrid of theorems of Goldbach and Piatetski-Shapiro, Acta Arith., 107, 2003, 307-326.
-
2Piatetski-Shapiro, I. I., On the distribution of prime numbers in sequences of the form [f(n)], Mat. Sb.,33, 1953, 559-566.
-
3Rivat, J. and Sargos, P., Nombres premiers de la forme n^c, (Primes of the form n^c (in French)), Canad.J. Math., 53, 2001, 414-433.
-
4Rivat, J. and Wu, J., Prime numbers of the form n^c, Glasg. Math. J., 43, 2001, 237-254.
-
5Jia, C. H., Three primes theorem in a short interval Ⅲ, Science in China, Set. A, 34, 1991, 695-709.
-
6Jia, C. H., On the Piatetski-Shapiro-Vinogradov theorem, Acta Arith., 73, 1995, 1-28.
-
7Balog, A. and Fredlander, J. P., A hybrid of theorems of Vinogradov and Piatetski-Shapiro, Pacific J.Math., 156, 1992, 45-62.
-
8Davenport, H., Multiplicative Number Theory, 2nd edition, Springer, New York, 1980.
-
9Pan, C. D. and Pan, C. B., Goldbach Conjecture, Science Press, Beijing, China, 1992.
-
10Iwaniec, H., A new form of the error term in the linear sieve, Acta Arith., 37, 1980, 307-320.
同被引文献16
-
1屠小菊,汪启明,饶力群.高温胁迫对植物生理生化的影响[J].湖南农业科学,2013(7):28-30. 被引量：40
-
2赵元杰,夏训诚,王富葆,曹琼英,高伟明,游广永.新疆罗布泊环状盐壳的特征与成因[J].干旱区地理,2006,29(6):779-783. 被引量：19
-
3秦晓鹏,彭燕,范彦,何玮.重庆地区野生红三叶耐热性比较研究[J].安徽农业科学,2009,37(4):1454-1457. 被引量：3
-
4张哲,闵红梅,夏关均,贾国梅.高温胁迫对植物生理影响研究进展[J].安徽农业科学,2010,38(16):8338-8339. 被引量：43
-
5许为钢,胡琳,盖钧镒.小麦耐热性研究[J].华北农学报,1999,14(2):20-24. 被引量：36
-
6刘飞虎,梁雪妮,张寿文,黄海辉.干旱胁迫下苎麻种质的生理生化特性研究[J].江西农业大学学报,2000,22(1):11-19. 被引量：17
-
7李吉跃.植物耐旱性及其机理[J].北京林业大学学报,1991,13(3):92-100. 被引量：209
-
8王忠华,李旭晨,夏英武.作物抗旱的作用机制及其基因工程改良研究进展[J].生物技术通报,2002,18(1):16-19. 被引量：43
-
9张明生,谈锋.水分胁迫下甘薯叶绿素a/b比值的变化及其与抗旱性的关系[J].种子,2001,20(4):23-25. 被引量：129
-
10刘学师,任小林,苗卫东,宋建伟.游离脯氨酸与植物抗旱性[J].河南职业技术师范学院学报,2002,30(3):35-37. 被引量：29
二级引证文献4
-
1卢玲,云兴福,吕世杰.贺兰山野生大型真菌孢子多样性分析[J].干旱区研究,2020,37(2):479-486. 被引量：1
-
2李文,穆桂金,林永崇,张慧娟,吴汪洋.罗布泊盐湖沉积物磁性特征及其环境意义[J].干旱区研究,2021,38(1):257-266. 被引量：3
-
3余秋岫,刘彩贤,金晓玲,谭殷殷.紫花含笑开花进程中花被生理生化与色素变化[J].东北林业大学学报,2021,49(3):39-43. 被引量：3
-
4王欢,张萍,王朔,郭佳茹,王博,张昱,秦海琴,靳磊.柠条锦鸡儿和沙拐枣主根暴露后的生理响应及抗逆机理[J].生态学报,2021,41(2):535-542. 被引量：1
-
1石循忠,郑正亚.复合型数学素质教育模式的理论探析[J].湖南教育学院学报,2000,18(2):33-35. 被引量：1
-
2王志雄.主理想环上的矩阵Goldbach问题[J].华侨大学学报（自然科学版）,1994,15(4):369-373.
-
3陈景润,王天泽.奇数情形Goldbach问题研究[J].科学通报,1989,34(20):1521-1522.
-
4孟昭和.Goldbach问题和孪生素数问题的证明[J].德州学院学报,2001,17(2):4-9.
-
5Ming Qiang WANG,Xian Meng MENG.The Exceptional Set in the Two Prime Squares and a Prime Problem[J].Acta Mathematica Sinica,English Series,2006,22(5):1329-1342.
-
6MENGXian-meng.On the Sum of Two Piatetski-Shapiro Primes[J].Chinese Quarterly Journal of Mathematics,2004,19(2):155-159.
-
7Guang Shi L.Hua's Theorem on Five Almost Equal Prime Squares[J].Acta Mathematica Sinica,English Series,2006,22(3):907-916. 被引量：1
-
8唐太明.关于M_n(z)中的Goldbach问题[J].四川大学学报（自然科学版）,1999,36(1):21-25.
-
9LI Yi-jun.Evaluation of the Assistant Function with Four Zeros and all Nonprincipal Characters but X1X2X3X4[J].Chinese Quarterly Journal of Mathematics,2006,21(2):196-201.
-
10丁长安.孪生素数问题与 Goldbach 问题的解[J].洛阳工学院学报,1997,18(3):86-91.
