ON WELL-ROUNDED IDEAL LATTICES II

DOI10.1142/S1793042112501291zbMath1296.11085arXiv1207.2671OpenAlexW2952517257MaRDI QIDQ4904417

Samuel Whitehead, Matthew Prince, Lenny Fukshansky, Glenn R. Henshaw, Xun Sun, Philip Liao

Publication date: 29 January 2013

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

Full work available at URL: https://arxiv.org/abs/1207.2671

zbMATH Keywords

ideal latticesquadratic number fieldswell-rounded latticesnearsquare condition

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (5)

Well-rounded twists of ideal lattices from real quadratic fields ⋮ Well-rounded twists of ideal lattices from imaginary quadratic fields ⋮ The linear transformation that relates the canonical and coefficient embeddings of ideals in cyclotomic integer rings ⋮ A complete classification of well-rounded real quadratic ideal lattices ⋮ Stability of ideal lattices from quadratic number fields

Cites Work

• On integral well-rounded lattices in the plane
• On the Euclidean minimum of some real number fields
• On distribution of well-rounded sublattices of \(\mathbb Z^2\)
• ON WELL-ROUNDED IDEAL LATTICES
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