2-universal Hermitian lattices over imaginary quadratic fields

2008/10/08 by Myung-Hwan Kim, Myunghwan Kim, Kim, Myung-Hwan +2
Mathematics · #11E39 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11E39

paper · pdf · doi:10.48550/arxiv.0810.1342

arxiv created 2008/10/08 · openalex publication_date 2008/10/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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