English

On semigroup orbits of polynomials and multiplicative orders

Number Theory 2020-11-25 v1

Abstract

We show, under some natural restrictions, that some semigroup orbits of polynomials cannot contain too many elements of small multiplicative order modulo a large prime pp, extending previous work of Shparlinski (2017).

Keywords

Cite

@article{arxiv.1910.08539,
  title  = {On semigroup orbits of polynomials and multiplicative orders},
  author = {Jorge Mello},
  journal= {arXiv preprint arXiv:1910.08539},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:1910.07637

R2 v1 2026-06-23T11:48:04.511Z