CONFIGURATIONS OF EXTREMAL EVEN UNIMODULAR LATTICES

DOI10.1142/S179304210900216XzbMath1241.11043arXiv0706.3082MaRDI QIDQ5324327

Scott Duke Kominers

Publication date: 3 August 2009

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

Full work available at URL: https://arxiv.org/abs/0706.3082

zbMATH Keywords

weighted theta seriesextremal latticeseven unimodular lattices

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) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (4)

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

• Unnamed Item
• On the structure of even unimodular extremal lattices of rank 40
• On even unimodular positive definite quadratic lattices of rank 32
• On the configurations of even unimodular lattices of rank 48
• Upper bounds for modular forms, lattices, and codes
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• Das Verhalten von mehrfachen Thetareihen bei Modulsubstitutionen
• Odd unimodular lattices of minimum 4

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