English

Upper Bounds for the Davenport Constant

Number Theory 2007-05-23 v3

Abstract

We prove that for all but a certain number of abelian groups of order n its Davenport constant is atmost n/k+k-1 for k=1,2,..,7. For groups of order three we improve on the existing bound involving the Alon-Dubiner constant.

Keywords

Cite

@article{arxiv.math/0601374,
  title  = {Upper Bounds for the Davenport Constant},
  author = {R. Balasubramanian and Gautami Bhowmik},
  journal= {arXiv preprint arXiv:math/0601374},
  year   = {2007}
}

Comments

article soumis, decembre 2005