English

Completing an universal $m$-gonal form with a closing unary piece

Number Theory 2021-01-27 v2

Abstract

In this paper, we show that for any mm-gonal form Fm(x)F_m(\mathbf x) with m12m \ge 12 which represents every positive integer up to m4m-4, by putting together only unary mm-gonal form, we may complete an universal form.

Cite

@article{arxiv.2012.15073,
  title  = {Completing an universal $m$-gonal form with a closing unary piece},
  author = {Dayoon Park},
  journal= {arXiv preprint arXiv:2012.15073},
  year   = {2021}
}
R2 v1 2026-06-23T21:35:24.124Z