Year: 2022
Type: article
Abstract: In the present paper, we give sufficient conditions on the elements of the continued fractions $A$ and $B$ that will assure us that the continued fraction $A^B$ is a transcendental number. With the same condition, we establish a transcendental measure of $A^B.$
Source: Communications in Mathematics
DOI: 10.46298/cm.10519
Authors: Sarra Ahallal, Ali Kacha
Institution: Université Ibn-Tofail
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4313413263