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Upper Bounds for the Davenport Constant

数论 2007-05-23 v3

摘要

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.

关键词

引用

@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}
}

备注

article soumis, decembre 2005