On even unimodular positive definite quadratic lattices of rank 32

DOI10.1007/BF01164032zbMath0564.10016MaRDI QIDQ1057898

Michio Ozeki

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173673

zbMATH Keywords

rankroot latticesdifferent 2-types

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 (7)

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 $80$ ⋮ On the configurations of even unimodular lattices of rank 48

Cites Work

• On the enumeration of self-dual codes
• On the classification of integral even unimodular 24-dimensional quadratic forms
• Note on the positive definite integral quadratic lattice
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• On modular forms whose Fourier coefficients are non-negative integers with the constant term unity
• Das Verhalten von mehrfachen Thetareihen bei Modulsubstitutionen
• Une famille infinie de formes quadratiques entières; leurs groupes d'automorphismes
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