English

Regular ternary sums of generalized polygonal numbers

Number Theory 2026-04-14 v1

Abstract

In this article, we provide an explicit constant CC such that there is no regular ternary sum of generalized mm-gonal numbers for any integer mm greater than CC.

Cite

@article{arxiv.2604.10901,
  title  = {Regular ternary sums of generalized polygonal numbers},
  author = {Mingyu Kim},
  journal= {arXiv preprint arXiv:2604.10901},
  year   = {2026}
}

Comments

23 pages

R2 v1 2026-07-01T12:05:26.821Z