《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (7): 124-126.doi: 10.6040/j.issn.1671-9352.0.2018.566
• • 上一篇
张韶华
ZHANG Shao-hua
摘要： 研究了涉及素数不等式的问题,得到了几个关于素数的新的不等式,改进了Pósa的工作。
中图分类号:
| [1] BONSE H. Üer eine bekannte eigenschaft der zahl 30 und ihre verallgemeinerung[J]. Arch Math Phys, 1907, 12:292-295. [2] RADEMACHER H, TOEPLITZ O. The enjoyment of mathematics: selections from mathematics for the amateur [M]. Princeton: Princeton University Press, 1957. [3] IWATA H. On Bonses theorem[J]. Math Rep Toyama Univ, 1984, 7:115-117. [4] LÁSZLÓ C. Generalized integers and Bonses theorem[J]. Studia Univ Babeş-Bolyai Math, 1989, 34(1):3-6. [5] BETTS ROBERT J. Using Bonses inequality to find upper bounds on prime gaps[J]. J Integer Seq, 2007, 10(3). http://adsabs.harvard.edu/abs/2007JIntS..10...38B. [6] PÓSA L. Über eine eigenschaft der primzahlen[J].(Hungarian)Mat Lapok, 1960, 11:124-129. [7] MAMANGAKIS S. E. Synthetic proof of some prime number inequalities[J]. Duke Math J, 1962, 29:471-473. [8] REICH S. On a problem in number theory[J]. Math Mag, 1971, 44:277-278. [9] SÁNDOR J. Über die folge der primzahlen[J]. Mathematica(Cluj), 1988, 30(1):67-74. [10] PANAITOPOL L. An inequality involving prime numbers[J]. Univ Beograd Publ Elektrotehn Fak Ser Mat, 2000, 11:33-35. [11] ROSSER J B, SCHOENFELD L. Approximate formulas for some functions of prime numbers[J]. Illinois J Math, 1962, 6:64-94. [12] BERKANE D., DUSARR P. On a constant related to the prime counting function[J]. Mediterr J Math, 2016, 13:929-938. |
| [1] | 李金红, . 抽象素数定理[J]. J4, 2008, 43(3): 70-74 . |
| [2] | 徐云飞,吕广世 . 九个几乎相等的素数的立方之和[J]. J4, 2006, 41(2): 59-62 . |
|
||
