English

Diagonal odd-regular ternary quadratic forms

Number Theory 2020-07-13 v1

Abstract

A (positive definite primitive integral) quadratic form is called odd-regular if it represents every odd positive integer which is locally represented. In this paper, we show that there are at most 147 diagonal odd-regular ternary quadratic forms and prove the odd-regularities of all but 6 candidates.

Keywords

Cite

@article{arxiv.2007.05017,
  title  = {Diagonal odd-regular ternary quadratic forms},
  author = {Mingyu Kim},
  journal= {arXiv preprint arXiv:2007.05017},
  year   = {2020}
}