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Some Identities and inequalities related to the Riemann zeta function

Gregory Abe-I-Kpeng

Gregory Abe-I-Kpeng

Department of Mathematics, Faculty of Mathematical Sciences, University for Development studiesNavrongo, Ghana
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Abe-I-Kpeng, Gregory
, 
Mohammed Muniru Iddrisu

Mohammed Muniru Iddrisu

Department of Mathematics, Faculty of Mathematical Sciences, University for Development studiesNavrongo, Ghana
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Iddrisu, Mohammed Muniru
 and 
Kwara Nantomah

Kwara Nantomah

Department of Mathematics, Faculty of Mathematical Sciences, University for Development studiesNavrongo, Ghana
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Nantomah, Kwara
  
Jan 24, 2020
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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
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© 2019 Gregory Abe-I-Kpeng et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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.

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English
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Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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