1-universal binary and ternary Hermitian lattices over imaginary quadratic fields

DOI10.1007/s11139-020-00290-xzbMath1472.11111OpenAlexW3045239872MaRDI QIDQ2039001

Byeong Moon Kim, Ji Young Kim

Publication date: 7 July 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00290-x

zbMATH Keywords

minimal rank1-universal Hermitian latticesrepresentation of unary Hermitian lattices

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Bilinear and Hermitian forms (11E39) Class numbers of quadratic and Hermitian forms (11E41)

Cites Work

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• A few uncaught universal Hermitian forms
• Positive definite unimodular lattices with trivial automorphism groups
• The fifteen theorem for universal Hermitian lattices over imaginary quadratic fields
• Universal binary Hermitian forms
• Class numbers of imaginary quadratic fields
• Hermitian Forms Over Local Fields
• Universal binary positive definite Hermitian lattices
• 2-universal Hermitian lattices over imaginary quadratic fields

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