On theta series attached to the Leech lattice
Shoyu Nagaoka, Sho Takemori
TL;DR
This paper investigates specific congruence relations of the theta series linked to the Leech lattice, revealing new mathematical properties of this highly symmetric structure.
Contribution
It introduces new congruence relations satisfied by the theta series of the Leech lattice, expanding understanding of its algebraic and modular properties.
Findings
Identifies new congruence relations for the Leech lattice theta series
Enhances understanding of the algebraic structure of the Leech lattice
Provides potential applications in coding theory and sphere packings
Abstract
Some congruence relations satisfied by the theta series associated with the Leech lattice are given.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Algebra and Geometry · Advanced Combinatorial Mathematics