The theta functions of sublattices of the Leech lattice

DOI10.1017/S0027763000000374zbMath0579.10010MaRDI QIDQ3701496

T. Tasaka, Takeshi Kondo

Publication date: 1986

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Dedekind eta-functionMathieu groupLeech latticeidentities between Jacobi theta functionsmoonshine of Fischer-Griess' monster

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Holomorphic modular forms of integral weight (11F11)

Related Items

On the relationship between Monstrous Moonshine and the uniqueness of the Moonshine module, Twisted elliptic genus for \(K3\) and Borcherds product, Replicable functions arising from code-lattice VOAs fixed by automorphisms, Modular forms and the automorphism group of Leech lattice, Some modular functions associated to the Lie algebra \(E_ 8\), Modular forms and group representation, The Dedekind eta-function in algebra and number theory: old and new problems, Elliptic genera and the moonshine module, Some elliptic curves arising from the Leech lattice, Finite groups of symplectic automorphisms of hyperkahler manifolds of type K3, The shadow theory of modular and unimodular lattices

Cites Work

• Codes over GF(4) and complex lattices
• A representation of the Mathieu group \(M_{24}\) as a collineation group
• A characterisation of Leech's lattice
• Mathieu group M₂₄ and modular forms
• Monstrous Moonshine
• Finite Groups and Modular Functions