On Some Representations of the Euler-Mascheroni Constants
Gregory Abe-I-Kpeng *
Department of Industrial Mathematics, C. K. Tedam University of Technology and Applied Sciences, P.O.Box 24, Navrongo-Upper East Region, Ghana.
Mohammed Muniru Iddrisu
Department of Mathematics, C. K. Tedam University of Technology and Applied Sciences, P.O.Box 24, Navrongo-Upper East Region, Ghana.
Kwara Nantomah
Department of Mathematics, C. K. Tedam University of Technology and Applied Sciences, P.O.Box 24, Navrongo-Upper East Region, Ghana.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Euler-Mascheroni constant, Schanuel Conjecture, Representations