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2-universal Hermitian lattices over imaginary quadratic fields

Number Theory 2008-10-09 v1

Abstract

A positive definite Hermitian lattice is said to be 2-universal if it represents all positive definite binary Hermitian lattices. We find all 2-universal ternary and quaternary Hermitian lattices over imaginary quadratic number fields.

Keywords

Cite

@article{arxiv.0810.1342,
  title  = {2-universal Hermitian lattices over imaginary quadratic fields},
  author = {Myung-Hwan Kim and Poo-Sung Park},
  journal= {arXiv preprint arXiv:0810.1342},
  year   = {2008}
}
R2 v1 2026-06-21T11:28:25.923Z