English

Irreducible polynomials in quadratic semigroups

Number Theory 2022-08-09 v1 Commutative Algebra Dynamical Systems

Abstract

We construct many irreducible polynomials within semigroups generated by sets of the form S={x2+c1,,x2+cs}S=\{x^2+c_1,\dots,x^2+c_s\} under composition.

Keywords

Cite

@article{arxiv.2208.03856,
  title  = {Irreducible polynomials in quadratic semigroups},
  author = {Wade Hindes and Reiyah Jacobs and Peter Ye},
  journal= {arXiv preprint arXiv:2208.03856},
  year   = {2022}
}
R2 v1 2026-06-25T01:33:17.971Z