Skip to main content
Article thumbnail
Location of Repository

Lower and upper bounds of ς(3)\ud

By Qiu-Ming Luo, Zong-Li Wei and Feng Qi


In this short note, using refinements of Jordan’s inequality and an integral expression of ς(3), the lower and upper bounds of ς(3) are obtained, and some related results are improved

Topics: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), lower and upper bounds, Riemann zeta function, Jordan inequality
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 2001
OAI identifier:

Suggested articles


  1. (1983). A proof that Euler missed: Evaluating ζ(2) the easy way,
  2. (1987). An elementary proof of P∞
  3. (1993). Ch´ angy` ong B` udˇ engsh` i (Applied Inequalities), 2nd edition,
  4. (1979). compilation, Sh` uxu´ e Shˇ ouc` e (Handbook of Mathematics),
  5. (1999). CRC Concise Encyclopedia of Mathematics on CD-ROM,
  6. (1974). Euler and the zeta function,
  7. (1996). Extensions and sharpenings of Jordan’s and Kober’s inequality,
  8. (1981). Mathematical Analysis, Chinese edition, translated by Ben-Wang Sun, The People’s Press of Hunan,
  9. (1995). On an intriguing integral and some series related to ζ(4),
  10. (1996). Partial Differential Equations I,
  11. (1979). Problems and Propositions in Analysis,
  12. (1998). Refinements and sharpenings of Jordan’s and Kober’s inequality,
  13. (1996). Simple proofs for P∞

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.