<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A new proof of Euler’s formular for calculating ζ(2<italic>k</italic>) is given. Some new inequalities and identities for ζ(2<italic>k</italic> + 1) have also been given. The Riemann’s functional equation together with trigonometric identities were used to establish the results.</p></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.

Some Identities and inequalities related to the Riemann zeta function

Department of Mathematics, Faculty of Mathematical Sciences

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Some Identities and inequalities related to the Riemann zeta function"}

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...

Some Identities and inequalities related to the Riemann zeta function

Published Online: Jan 24, 2020

Page range: 179 - 185

Received: Sep 13, 2019

Accepted: Nov 19, 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0013

Keywords
Riemann zeta function, Inequalities, Bernoulli numbers

© 2019 Gregory Abe-I-Kpeng et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Some Identities and inequalities related to the Riemann zeta function

Published Online: Jan 24, 2020

Page range: 179 - 185

Received: Sep 13, 2019

Accepted: Nov 19, 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0013

KeywordsRiemann zeta function, Inequalities, Bernoulli numbers

© 2019 Gregory Abe-I-Kpeng et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Riemann zeta function, Inequalities, Bernoulli numbers