On Some Representations of the Euler-Mascheroni Constants

On Some Representations of the Euler-Mascheroni Constants

In this study, we derive a new representation for the Euler-Mascheroni constant and present various expressions for the classical Euler-Mascheroni constant related to the Riemann zeta function. Also, we proved that \(\gamma\)  is not algebraic if the Schanuel conjecture is true.

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Veröffentlicht in:Journal of Advances in Mathematics and Computer Science 2022-09, p.34-43
Hauptverfasser: Abe-I-Kpeng, Gregory, Iddrisu, Mohammed Muniru, Nantomah, Kwara
Format: Artikel
Sprache:eng
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Zusammenfassung:In this study, we derive a new representation for the Euler-Mascheroni constant and present various expressions for the classical Euler-Mascheroni constant related to the Riemann zeta function. Also, we proved that \(\gamma\)  is not algebraic if the Schanuel conjecture is true.
ISSN:2456-9968
2456-9968
DOI:10.9734/jamcs/2022/v37i830470