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Research Article Open access CC BY 4.0

On Some Representations of the Euler-Mascheroni Constants

Gregory Abe-I-Kpeng, Mohammed Muniru Iddrisu, Kwara Nantomah

Journal of Advances in Mathematics and Computer Science · pp. 34–43 · Published 12 Sep 2022

10.9734/jamcs/2022/v37i830470

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.

Euler-Mascheroni constant Schanuel Conjecture Representations

References (9)

  1. 1 Handbook of Mathematical Functions
  2. 2 The Riemann zeta-function and its derivatives [DOI]
  3. 3 A Survey of Euler's Constant [DOI]
  4. 4 A Guide to Advanced Real Analysis [DOI]
  5. 5 On a generalized gamma function and its properties [DOI]
  6. 6 Some Identities and inequalities related to the Riemann zeta function [DOI]
  7. 7 A new sequence related to the Euler–Mascheroni constant [DOI]
  8. 8 Journal of Inequalities and Applications [DOI]
  9. 9 The Euler – Mascheroni Constant and Its Application in Physical Research

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