Modular forms and the automorphism group of Leech lattice

DOI10.1017/S0027763000001148zbMath0663.10026MaRDI QIDQ3813864

Masao Koike

Publication date: 1988

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

zbMATH Keywords

automorphism grouptheta seriesLeech latticemonstrous moonshineMonster simple groupConway groupThompson seriesConway-Norton conjecturesaction of Atkin-Lehner involutionsFrame shapeproduct of Dedekind eta functionstheta function of fixed sublattice

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Lattices and convex bodies (number-theoretic aspects) (11H06) Holomorphic modular forms of integral weight (11F11)

Related Items

Some modular functions associated to the Lie algebra \(E_ 8\), Dedekind \(\eta\)-function in modern research, Modular forms and group representation, The Dedekind eta-function in algebra and number theory: old and new problems, Some elliptic curves arising from the Leech lattice

Cites Work

• The automorphism group of Leech lattice and elliptic modular functions
• On McKay’s conjecture
• Mathieu group M₂₄ and modular forms
• The theta functions of sublattices of the Leech lattice
• Monstrous Moonshine