English

Zero-sum-free sequences with few subsequence sums

Combinatorics 2022-06-02 v3 Number Theory

Abstract

We show that a zero-sum-free sequence of length nn over an abelian group spans at least 2n2n distinct subsequence sums, unless it possesses a rigid, easily-described structure.

Keywords

Cite

@article{arxiv.2110.01081,
  title  = {Zero-sum-free sequences with few subsequence sums},
  author = {Vsevolod F. Lev},
  journal= {arXiv preprint arXiv:2110.01081},
  year   = {2022}
}
R2 v1 2026-06-24T06:35:21.271Z