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Improve bounds of some arithmetical functions
Joint Authors
Nasir, Muhammad Abd Allah
al-Mamuri, Fayiz Ali Rashid
Source
Journal of Babylon University : Journal of Applied and Pure Sciences
Issue
Vol. 26, Issue 2 (28 Feb. 2018), pp.326-331, 6 p.
Publisher
Publication Date
2018-02-28
Country of Publication
Iraq
No. of Pages
6
Main Subjects
Information Technology and Computer Science
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.
Key words: Analytic Number Theory (especially, The Riemann-Zeta function), Banach space and the norm function.-
American Psychological Association (APA)
al-Mamuri, Fayiz Ali Rashid& Nasir, Muhammad Abd Allah. 2018. Improve bounds of some arithmetical functions. Journal of Babylon University : Journal of Applied and Pure Sciences،Vol. 26, no. 2, pp.326-331.
https://search.emarefa.net/detail/BIM-1094050
Modern Language Association (MLA)
al-Mamuri, Fayiz Ali Rashid& Nasir, Muhammad Abd Allah. Improve bounds of some arithmetical functions. Journal of Babylon University : Journal of Applied and Pure Sciences Vol. 26, no. 2 (2018), pp.326-331.
https://search.emarefa.net/detail/BIM-1094050
American Medical Association (AMA)
al-Mamuri, Fayiz Ali Rashid& Nasir, Muhammad Abd Allah. Improve bounds of some arithmetical functions. Journal of Babylon University : Journal of Applied and Pure Sciences. 2018. Vol. 26, no. 2, pp.326-331.
https://search.emarefa.net/detail/BIM-1094050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 331
Record ID
BIM-1094050