English

Transcendental Continued Fractions

Number Theory 2023-06-22 v2

Abstract

In the present paper, we give sufficient conditions on the elements of the continued fractions AA and BB that will assure us that the continued fraction ABA^B is a transcendental number. With the same condition, we establish a transcendental measure of AB.A^B.

Keywords

Cite

@article{arxiv.2212.08970,
  title  = {Transcendental Continued Fractions},
  author = {Sarra Ahallal and Ali Kacha},
  journal= {arXiv preprint arXiv:2212.08970},
  year   = {2023}
}

Comments

9pages

R2 v1 2026-06-28T07:40:34.402Z