Transcendence of generalized Euler–Lehmer constants

Gun, Sanoli ; Saha, Ekata ; Sinha, Sneh Bala (2014) Transcendence of generalized Euler–Lehmer constants Journal of Number Theory, 145 . pp. 329-339. ISSN 0022-314X

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Official URL: http://doi.org/10.1016/j.jnt.2014.06.010

Related URL: http://dx.doi.org/10.1016/j.jnt.2014.06.010

Abstract

In this article, we study the arithmetic properties of generalized Euler–Lehmer constants. We show that these infinite family of numbers are transcendental with at most one exception. This result generalizes a recent result of Murty and Zaytseva.

Item Type:Article
Source:Copyright of this article belongs to Elsevier B.V..
Keywords:Generalized Euler–Lehmer Constants; Baker's Theory Of Linear Forms In Logarithms.
ID Code:118007
Deposited On:11 May 2021 05:31
Last Modified:11 May 2021 05:31

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