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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
 e 
Kwara Nantomah

Kwara Nantomah

Department of Mathematics, Faculty of Mathematical Sciences, University for Development studiesNavrongo, Ghana
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Nantomah, Kwara
  
24 gen 2020
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Pubblicato online: 24 gen 2020
Pagine: 179 - 185
Ricevuto: 13 set 2019
Accettato: 19 nov 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.

Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Matematica, Analisi, Equazioni differenziali e sistemi dinamici, Probabilità e statistiche, Matematica numerica e computazionale
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