Minimal universality criterion sets on the representations of binary quadratic forms

DOI10.1016/j.jnt.2021.08.002zbMath1506.11051arXiv2009.04050OpenAlexW3201080391WikidataQ114156760 ScholiaQ114156760MaRDI QIDQ2162779

Kyoungmin Kim, Jeongwon Lee, Byeong-Kweon Oh

Publication date: 9 August 2022

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

Full work available at URL: https://arxiv.org/abs/2009.04050

zbMATH Keywords

universal quadratic formsminimal universality criterion sets

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)

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Cites Work

• Positive definite quadratic forms representing integers of the form \(an^2+b\)
• Quadratic forms over \(\mathbb Z\) from Diophantus to the 290 theorem
• Minimal \(\mathcal S\)-universality criteria may vary in size
• Uniqueness of the 2-universality Criterion
• The Representation of Binary Quadratic Forms by Positive Definite Quaternary Quadratic Forms
• A finiteness theorem for representability of quadratic forms by forms
• Universal $\mathbb {Z}$-lattices of minimal rank
• The 8-universality Criterion is Unique
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