Some Identities and inequalities related to the Riemann zeta function

Some Identities and inequalities related to the Riemann zeta function

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

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Moroccan journal of pure and applied analysis 2019-12, Vol.5 (2), p.179-185
Hauptverfasser: Abe-I-Kpeng, Gregory, Iddrisu, Mohammed Muniru, Nantomah, Kwara
Format: Artikel
Sprache:eng
Schlagworte:
11M41
11S40
26D20
Bernoulli numbers
Inequalities
Riemann zeta function
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A new proof of Euler’s formular for calculating ζ(2 ) is given. Some new inequalities and identities for ζ(2 + 1) have also been given. The Riemann’s functional equation together with trigonometric identities were used to establish the results.
ISSN:2351-8227
2605-6364
2351-8227
DOI:10.2478/mjpaa-2019-0013