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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