Ramifications of Ramanujan's work on \(\eta\)-products

DOI10.1007/BF02864394zbMath0693.10022WikidataQ29308470 ScholiaQ29308470MaRDI QIDQ584307

John McKay, David J. Ford

Publication date: 1989

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

sporadic groupsfinite simple groupsmodular formsMathieu groupconformal quantum fieldDedekind \(\eta\)-functionsmonster group \(F_ 1\)multiplicative Fourier coefficientsshape of permutation

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Holomorphic modular forms of integral weight (11F11) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Frame-shapes and rational characters of finite groups
• An elucidation of Infinite-dimensional algebras\dots and the very strange formula. \(E^{(1)}_8\) and the cube root of the modular invariant j
• Monstrous Moonshine
• Finite Groups and Modular Functions
• On a special nonlinear functional equation
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