Universal $\mathbb {Z}$-lattices of minimal rank

DOI10.1090/S0002-9939-99-05254-5zbMath1044.11015MaRDI QIDQ4699566

Byeong-Kweon Oh

Publication date: 17 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

root lattice\(n\)-universal lattice\(U_{\mathbb{Z}}(n)\)additively indecomposable

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12)

Related Items (11)

On primitively 2-universal quadratic forms ⋮ Minimal universality criterion sets on the representations of binary quadratic forms ⋮ On indefinite \(k\)-universal integral quadratic forms over number fields ⋮ Unnamed Item ⋮ Diagonal quadratic forms representing all binary diagonal quadratic forms ⋮ On \(k\)-universal quadratic lattices over unramified dyadic local fields ⋮ Lifting problem for universal quadratic forms ⋮ Minimal \(\mathcal S\)-universality criteria may vary in size ⋮ The 8-universality Criterion is Unique ⋮ Binary quadratic forms represented by a sum of nonzero squares ⋮ Representations of finite number of quadratic forms with same rank

This page was built for publication: Universal $\mathbb {Z}$-lattices of minimal rank