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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
 et 
Kwara Nantomah

Kwara Nantomah

Department of Mathematics, Faculty of Mathematical Sciences, University for Development studiesNavrongo, Ghana
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Nantomah, Kwara
  
24 janv. 2020
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Publié en ligne: 24 janv. 2020
Pages: 179 - 185
Reçu: 13 sept. 2019
Accepté: 19 nov. 2019
DOI: https://doi.org/10.2478/mjpaa-2019-0013
Mots clés
© 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.

Langue:
Anglais
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3 fois par an
Sujets de la revue:
Mathématiques, Analyse, Équations différentielles et systèmes dynamiques, Probabilité et statistiques, Mathématiques numériques et computationnelles
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