An upper bound on the number of classes of perfect unary forms in totally real number fields

DOI10.1142/S1793042124501008MaRDI QIDQ6591606

Christian Porter, Andrew Mendelsohn

Publication date: 22 August 2024

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

zbMATH Keywords

quadratic formsnumber fieldstrace formslatticesperfect forms

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Minima of forms (11H50)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Beiträge zu einer Reduktionstheorie in Positivitätsbereichen. I
• Lattice coverings and Gaussian measures of \(n\)-dimensional convex bodies
• The minimum value of quadratic forms, and the closest packing of spheres.
• On conjectures of Minkowski and Woods for \(n=10\)
• An upper bound on the number of perfect quadratic forms
• Perfect unary forms over real quadratic fields
• On the minimum of the unit lattice
• Recovering Short Generators of Principal Ideals in Cyclotomic Rings
• Unit reducible fields and perfect unary forms

Related Items (1)

On Pisot units and the fundamental domain of Galois extensions of \(\mathbb{Q}\)

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