English

The subset sum problem for finite abelian groups

Combinatorics 2015-09-08 v1 Group Theory Number Theory

Abstract

Let G be a finite abelian group. For g in G and i an integer we define N(i,g) to be the number of subsets of G of size i which sum up to g. We will give a short proof, using character theory, of a formula for these N(i,g) due to Li and Wan. We also give a formula for N(i,g)*, the number of subsets of G not containing 0 of size i which sum up to g. This generalizes another result of Wan.

Keywords

Cite

@article{arxiv.1112.6294,
  title  = {The subset sum problem for finite abelian groups},
  author = {Michiel Kosters},
  journal= {arXiv preprint arXiv:1112.6294},
  year   = {2015}
}

Comments

3 pages

R2 v1 2026-06-21T19:58:00.775Z