Improve bounds of some arithmetical functions

Joint Authors

al-Mamuri, Fayiz A. Ali Rashid
Nasir, Muhammad Abd Allah

Source

Journal of Babylon University : Journal of Applied and Pure Sciences

Issue

Vol. 23, Issue 4 (31 Dec. 2015), pp.1425-1429, 5 p.

Publisher

University of Babylon

Publication Date

2015-12-31

Country of Publication

Iraq

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

We show in this article the use of the norm function to get a new lower bound of Riemann-Zeta function where .

This subject has been studied deeply by Hilberdink [HIL, 12] ).

Getting a bound for the Riemann-Zeta function in the critical strip is more challenging for many reasons related to the behavior of the Riemann-Zeta function in that strip.

In the other words, the aim of this article is to prove that has a strict lower bound when the real part is very closed to the line 1.

We state this in the main theorem of this paper.

American Psychological Association (APA)

al-Mamuri, Fayiz A. Ali Rashid& Nasir, Muhammad Abd Allah. 2015. Improve bounds of some arithmetical functions. Journal of Babylon University : Journal of Applied and Pure Sciences،Vol. 23, no. 4, pp.1425-1429.
https://search.emarefa.net/detail/BIM-696958

Modern Language Association (MLA)

al-Mamuri, Fayiz A. Ali Rashid& Nasir, Muhammad Abd Allah. Improve bounds of some arithmetical functions. Journal of Babylon University : Journal of Applied and Pure Sciences Vol. 23, no. 4 (2015), pp.1425-1429.
https://search.emarefa.net/detail/BIM-696958

American Medical Association (AMA)

al-Mamuri, Fayiz A. Ali Rashid& Nasir, Muhammad Abd Allah. Improve bounds of some arithmetical functions. Journal of Babylon University : Journal of Applied and Pure Sciences. 2015. Vol. 23, no. 4, pp.1425-1429.
https://search.emarefa.net/detail/BIM-696958

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 1429

Record ID

BIM-696958