English

A problem on partial sums in abelian groups

Combinatorics 2017-06-15 v2

Abstract

In this paper we propose a conjecture concerning partial sums of an arbitrary finite subset of an abelian group, that naturally arises investigating simple Heffter systems. Then, we show its connection with related open problems and we present some results about the validity of these conjectures.

Keywords

Cite

@article{arxiv.1706.00042,
  title  = {A problem on partial sums in abelian groups},
  author = {Simone Costa and Fiorenza Morini and Anita Pasotti and Marco Antonio Pellegrini},
  journal= {arXiv preprint arXiv:1706.00042},
  year   = {2017}
}
R2 v1 2026-06-22T20:05:17.820Z