English

Zsigmondy's Theorem for Chebyshev polynomials

Number Theory 2021-12-07 v2

Abstract

For an integer aa consider the sequence (Tn(a)1)n=1(T_{n}(a)-1)_{n=1}^{\infty} defined by the Chebyshev polynomials TnT_{n}. We list all pairs (n,a)(n,a) for which the term Tn(a)1T_{n}(a)-1 has no primitive prime divisor.

Cite

@article{arxiv.1909.12143,
  title  = {Zsigmondy's Theorem for Chebyshev polynomials},
  author = {Stefan Barańczuk},
  journal= {arXiv preprint arXiv:1909.12143},
  year   = {2021}
}
R2 v1 2026-06-23T11:27:00.122Z