Sarra Ahallal ; Ali Kacha - Transcendental Continued Fractions

cm:10519 - Communications in Mathematics, December 27, 2022, Volume 30 (2022), Issue 1 - https://doi.org/10.46298/cm.10519
Transcendental Continued FractionsArticle

Authors: Sarra Ahallal ; Ali Kacha

    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 $A^B.$

    Comment: 9pages

    https://doi.org/10.46298/cm.10519
    Source: arXiv.org:2212.08970
    Volume: Volume 30 (2022), Issue 1
    Published on: December 27, 2022
    Accepted on: December 20, 2022
    Submitted on: December 20, 2022
    Keywords: Mathematics - Number Theory, 15A60, 47A63, F.m
    Licence: arXiv.org - Non-exclusive license to distribute

    Classifications

    Mathematics Subject Classification 20201
    Sources:
    • [1] zbMATH Open.

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