Theta Series of Unimodular Lattices, Combinatorial Identities and Weighted Symmetric Polynomials

DOI10.1142/S1005386706000101zbMath1135.11022arXivmath/0003200MaRDI QIDQ5715636

Xiaoping Xu

Publication date: 4 January 2006

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003200

zbMATH Keywords

combinatorial identitiestheta seriessymmetric polynomialsroot latticesunimodular lattices

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Relationship to Lie algebras and finite simple groups (11F22) Theta series; Weil representation; theta correspondences (11F27) Quadratic forms over global rings and fields (11E12)

Cites Work

• Unnamed Item
• On the enumeration of lattices of determinant one
• Self-dual lattices of type \(A\)
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• Ramanujan's function \(\tau(n)\)
• Vertex algebras, Kac-Moody algebras, and the Monster
• Twenty-three constructions for the Leech lattice

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