Unit reducible fields and perfect unary forms

DOI10.5802/jtnb.1267arXiv2207.06385MaRDI QIDQ6121264

Christian Porter, Alar Leibak, Cong Ling

Publication date: 26 March 2024

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06385

zbMATH Keywords

quadratic formsalgebraic number theoryreduction theoryperfect forms

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Cites Work

• Beiträge zu einer Reduktionstheorie in Positivitätsbereichen. I
• Lattice reductions over Euclidean rings with applications to cryptanalysis
• The characterization of cyclic cubic fields with power integral bases
• An LLL algorithm for module lattices
• Perfect unary forms over real quadratic fields
• Real quadratic function fields of Richaud-Degert type with ideal class number one
• On Real Quadratic Fields Containing Units with Norm -1
• Recovering Short Generators of Principal Ideals in Cyclotomic Rings
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