English

Simple proofs for universal binary Hermitian lattices

Number Theory 2008-03-27 v1

Abstract

If a positive definite Hermitian lattice represents all positive integers, we call it universal. Several mathematicians, including the author, found 25 universal binary Hermitian lattices. But their ad hoc proofs are complicated. We give simple and unified proofs.

Keywords

Cite

@article{arxiv.0803.3695,
  title  = {Simple proofs for universal binary Hermitian lattices},
  author = {Poo-Sung Park},
  journal= {arXiv preprint arXiv:0803.3695},
  year   = {2008}
}

Comments

6 pages

R2 v1 2026-06-21T10:24:33.479Z