Primitively universal quaternary quadratic forms

DOI10.1016/j.jnt.2022.07.011OpenAlexW4293030264WikidataQ114156414 ScholiaQ114156414MaRDI QIDQ2079482

Kyoungmin Kim, Jangwon Ju, Byeong-Kweon Oh, Daejun Kim, Min-Gyu Kim

Publication date: 30 September 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.13573

zbMATH Keywords

quaternary quadratic formsprimitively universal

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12)

Cites Work

• The strictly regular diagonal quaternary quadratic \(\mathbb Z\)-lattices
• On primitively universal quadratic forms
• Completely \(p\)-primitive binary quadratic forms
• Local criteria for universal and primitively universal quadratic forms
• There are 913 regular ternary forms
• Determination of all classes of positive quaternary quadratic forms which represent all (positive) integers
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