Prime in Quadratic Progressions on Average 被引量：1

Prime in Quadratic Progressions on Average

导出

摘要 In this paper we study the distribution of primes in quadratic progressions on average. Our result improves a previous result of Baier and Zhao in some aspects. In this paper we study the distribution of primes in quadratic progressions on average. Our result improves a previous result of Baier and Zhao in some aspects.

作者 Guang Shi LU Hai Wei SUN

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第6期1187-1194,共8页 数学学报（英文版）

基金 Supported by National Natural Science Foundation of China （Grant No. 10701048）, Shandong Province Natural Science Foundation （Crant No. ZR2009AM007）, and IIFSDU

关键词 PRIMES quadratic progressions circle method Primes, quadratic progressions, circle method

分类号 O173.1 [理学—基础数学] O178 [理学—基础数学]

引文网络
相关文献

参考文献11

1Hardy, G. H., Littlewood, J. E.: Some problems of 'Partitio numerorum' Ⅲ: on the expression of a number as sum of primes. Acta Math., 44, 1-70 (1922).
2Baier, S., Zhao, L. Y.: Primes in quadratic progressions on average. Math. Ann., 338, 963-982 (2007).
3Brunner, R., Perelli, A., Pintz, J.: The exceptional set for the sum of a prime and a square. Acta Math. Hungar., 53, 347-365 (1989).
4Wang, T. Z.: On the exceptional set for the equation n = p+ k^2. Acta Mathematica Sinica, English Series, 11, 156-167 (1995).
5Li, H. Z.: The exceptional set for the sum of a prime and a square. Acta Math. Hungar., 99, 123-141 (2003).
6Vaughan, R. C.: On Goldbach's problem. Acta Arith., 22, 21-48 (1972).
7Montgomery, H. L., Vaughan R. C.: The exceptional set in Coldbach's problem. Acta Arith., 27, 353-370 (1975).
8Pan, C. D., Pan, C. B.: Fundamentals of Analytic Number Theory (in Chinese), Science Press, Beijing, 1991.
9Vaughan, R. C.: The Hardy-Littlewood Method, second edition, Cambridge University Press, Cambridge, 1997.
10Gallagher, P. X.: A large sieve density estimate near σ= 1. Invent. Math., 11, 329 339 (1970).

同被引文献1

1Wang Tianze Department of Mathematics Henan University Kaifeng, 475001 China.On the Exceptional Set for the Equation n=p+k^2[J].Acta Mathematica Sinica,English Series,1995,11(2):156-167. 被引量：1

引证文献1

1刘睿,刘华锋.关于k次幂序列中的素数分布[J].纯粹数学与应用数学,2023,39(4):581-592.

1刘弘泉.On An Average Sum[J].Journal of Harbin Institute of Technology(New Series),1999,6(1):14-18.
2叶惟寅.THE VARIATION OF INVARIANT LINES AND LIMIT CYCLES FOR A QUADRATIC DIFFERENTIAL SYSTEM[J].Annals of Differential Equations,1998,14(2):286-293.
3郑祖庥,吴汉忠.ON　 THE　 FUNCTIONAL-DIFFERENTIAL　EQUATION　 OF　 THE　 DISTRIBUTION　OF 　PRIME 　NUMBERS[J].Annals of Differential Equations,1999,15(1):99-106.
4Tu Xiangchu,Tu Chengyu,Tu Chengyuan.On the Distribution of Prime Pairs[J].工程科学（英文版）,2005,3(3):22-30.
5丘冠英.带时滞一类非线性微分方程周期正解存在性[J].安徽师范大学学报（自然科学版）,2010,33(3):205-208. 被引量：1
6Estimation and Recomendation of the S-Wave Neutron Average Resonance Level[J].Annual Report of China Institute of Atomic Energy,1994(0):39-40.
7丰建文,陈士华.A CLASS OF QUADRATIC HAMILTONIAN SYSTEMS UNDER QUADRATIC PERTURBATION[J].Acta Mathematica Scientia,2001,21(2):249-253. 被引量：2
8章祥荪.MATHEMATICAL　ANALYSIS　OF　SOME　NEURAL　NETWORKS　FOR　SOLVING　LINEAR　AND　QUADRATIC　PROGRAMMING[J].Acta Mathematicae Applicatae Sinica,1996,12(1):1-10.
9谢在斌.新课改下数学教学的困惑与反思[J].科学咨询（中旬）,2011(8):55-56. 被引量：2
10付新华.新课标下的物理教学要充分发挥主体作用[J].动动画世界（教育技术研究）,2012(1):19-19.

Acta Mathematica Sinica,English Series

2011年第6期

浏览历史

内容加载中请稍等...

Prime in Quadratic Progressions on Average 被引量：1

参考文献11

同被引文献1

引证文献1

相关作者

相关机构

相关主题

浏览历史