English

Classes of permutation polynomials based on cyclotomy and an additive analogue

Number Theory 2013-10-08 v1 Combinatorics

Abstract

I present a construction of permutation polynomials based on cyclotomy, an additive analogue of this construction, and a generalization of this additive analogue which appears to have no multiplicative analogue. These constructions generalize recent results of J. Marcos from arXiv:0810.2738v1.

Cite

@article{arxiv.0810.2830,
  title  = {Classes of permutation polynomials based on cyclotomy and an additive analogue},
  author = {Michael E. Zieve},
  journal= {arXiv preprint arXiv:0810.2830},
  year   = {2013}
}

Comments

8 pages. Dedicated to Mel Nathanson on the occasion of his sixtieth birthday

R2 v1 2026-06-21T11:31:18.349Z