On a problem of minimal additive complements for not eventually periodic $S$-difference sets

Min Tang; Wenjing He

On a problem of minimal additive complements for not eventually periodic $S$-difference sets

Number Theory 2026-07-29 v1

Authors: Min Tang , Wenjing He

Abstract

Let $C$ and $W$ be two integer sets. If $C+W=\mathbb{Z}$ , then we say that $C$ is an additive complement to $W$ . If no proper subset of $C$ is an additive complement to $W$ , then we say that $C$ is a minimal additive complement to $W$ . In this paper, we give an affirmative answer to one problem of Ma and Chen [On a problem of minimal additive complements of integers, J. Number Theory 284(2026), 178-187.]

Cite

@article{arxiv.2607.27059,
  title  = {On a problem of minimal additive complements for not eventually periodic $S$-difference sets},
  author = {Min Tang and Wenjing He},
  journal= {arXiv preprint arXiv:2607.27059},
  year   = {2026}
}