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On splitting perfect polynomials over $\mathbb{F}_{p^2}$

Number Theory 2009-11-10 v1

Abstract

We study some properties of the exponents of the terms appearing in the splitting perfect polynomials over Fp2\mathbb{F}_{p^2}, where pp is a prime number. This generalizes the work of Beard et al. over Fp\mathbb{F}_p. Corrected paper. Older Lemmas 2.17 to 2.20 in published version required a fixing done herein.

Keywords

Cite

@article{arxiv.0911.1475,
  title  = {On splitting perfect polynomials over $\mathbb{F}_{p^2}$},
  author = {Luis H. Gallardo and Olivier Rahavandrainy},
  journal= {arXiv preprint arXiv:0911.1475},
  year   = {2009}
}

Comments

Current corrected version

R2 v1 2026-06-21T14:08:48.294Z