Improve Bounds of some Arithmetical Functions

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Faez Ali Rashid Al-Maamori
Mohammed Abdullah Naser

Abstract

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.

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How to Cite
[1]
“Improve Bounds of some Arithmetical Functions”, JUBPAS, vol. 26, no. 2, pp. 326–331, Apr. 2019, Accessed: Mar. 28, 2024. [Online]. Available: https://journalofbabylon.com/index.php/JUBPAS/article/view/2229
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How to Cite

[1]
“Improve Bounds of some Arithmetical Functions”, JUBPAS, vol. 26, no. 2, pp. 326–331, Apr. 2019, Accessed: Mar. 28, 2024. [Online]. Available: https://journalofbabylon.com/index.php/JUBPAS/article/view/2229

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