English

On a multiplicative order of Gauss periods and related questions

Number Theory 2010-12-21 v2

Abstract

We obtain explicit lower bounds on multiplicative order of elements that have more general form than finite field Gauss period. In a partial case of Gauss period this bound improves the previous bound of O.Ahmadi, I.E.Shparlinski and J.F.Voloch

Keywords

Cite

@article{arxiv.1008.0972,
  title  = {On a multiplicative order of Gauss periods and related questions},
  author = {Roman Popovych},
  journal= {arXiv preprint arXiv:1008.0972},
  year   = {2010}
}

Comments

10 pages, version 2, results changed