
arXiv: 2212.08970
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 $A^B.$
Mathematics - Number Theory, 15A60, 47A63, Continued fractions, Transcendence (general theory), FOS: Mathematics, measure of transcendence, F.m, Number Theory (math.NT), Measures of irrationality and of transcendence, transcendental number, continued fraction
Mathematics - Number Theory, 15A60, 47A63, Continued fractions, Transcendence (general theory), FOS: Mathematics, measure of transcendence, F.m, Number Theory (math.NT), Measures of irrationality and of transcendence, transcendental number, continued fraction
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