On the configurations of even unimodular lattices of rank 48

DOI10.1007/BF01197141zbMath0571.10020MaRDI QIDQ1061766

Michio Ozeki

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

sublattice2m-vectors

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Quadratic forms over global rings and fields (11E12)

Related Items (6)

Examples of even unimodular extremal lattices of rank 40 and their Siegel theta-series of degree 2 ⋮ CONFIGURATIONS OF EXTREMAL EVEN UNIMODULAR LATTICES ⋮ Configurations of extremal type II codes via harmonic weight enumerators ⋮ Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices ⋮ Configurations of rank-\(40r\) extremal even unimodular lattices \((r=1,2,3)\) ⋮ Refined configuration results for extremal {Type II} lattices of ranks $40$ and $80$

Cites Work

• On even unimodular positive definite quadratic lattices of rank 32
• On the classification of integral even unimodular 24-dimensional quadratic forms
• Note on the positive definite integral quadratic lattice
• Definite Unimodular 48-Dimensional Quadratic Forms
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