Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices

DOI10.1016/j.jnt.2023.01.012OpenAlexW3083368609MaRDI QIDQ2696065

Gabriele Nebe, Tsuyoshi Miezaki

Publication date: 6 April 2023

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

Full work available at URL: https://arxiv.org/abs/2009.02842

zbMATH Keywords

spherical \(t\)-designsspherical theta seriesVenkov's theorem2-modular lattices

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Holomorphic modular forms of integral weight (11F11) Relations with coding theory (11H71)

Uses Software

• Magma
• Mathematica

Cites Work

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• On the structure of even unimodular extremal lattices of rank 40
• Configurations of rank-\(40r\) extremal even unimodular lattices \((r=1,2,3)\)
• On even unimodular positive definite quadratic lattices of rank 32
• On the configurations of even unimodular lattices of rank 48
• Spherical codes and designs
• The shadow theory of modular and unimodular lattices
• The genus of the Barnes-Wall lattice
• The Magma algebra system. I: The user language
• Modular lattices in Euclidean spaces
• CONFIGURATIONS OF EXTREMAL EVEN UNIMODULAR LATTICES

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