English

Polynomial Continued Fractions for Algebraic Numbers

Number Theory 2025-02-28 v1

Abstract

Our main result is that any real cubic algebraic number has a continued fraction expansion with polynomial coefficients. Some generalizations are mentioned.

Keywords

Cite

@article{arxiv.2502.19575,
  title  = {Polynomial Continued Fractions for Algebraic Numbers},
  author = {Henri Cohen},
  journal= {arXiv preprint arXiv:2502.19575},
  year   = {2025}
}
R2 v1 2026-06-28T21:59:22.195Z