Some Identities and inequalities related to the Riemann zeta function

Abe-I-Kpeng, Gregory; Iddrisu, Mohammed Muniru; Nantomah, Kwara

doi:10.2478/mjpaa-2019-0013

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Some Identities and inequalities related to the Riemann zeta function

Moroccan Journal of Pure and Applied Analysis

Volume 5 (2019): Issue 2 (December 2019)

By: Gregory Abe-I-Kpeng, Mohammed Muniru Iddrisu and Kwara Nantomah

Open Access

|Jan 2020

Abstract

A new proof of Euler’s formular for calculating ζ(2k) is given. Some new inequalities and identities for ζ(2k + 1) have also been given. The Riemann’s functional equation together with trigonometric identities were used to establish the results.

References

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DOI: https://doi.org/10.2478/mjpaa-2019-0013 | Journal eISSN: 2351-8227

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Language: English

Page range: 179 - 185

Submitted on: Sep 13, 2019

Accepted on: Nov 19, 2019

Published on: Jan 24, 2020

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Riemann zeta function,

Related subjects:

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2020 Gregory Abe-I-Kpeng, Mohammed Muniru Iddrisu, Kwara Nantomah, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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