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Ramifications of Ramanujan's work on η-products

  • David Ford
  • John McKay
Article

Abstract

We follow, the evolution of ideas arising from Ramanujan's 1916 paper ‘On certain arithmetical functions’ by examining multiplicative η-products and quotients and their relation with the characters of the Mathieu groupM 24 and the automorphism group of the Leech lattice. This leads to the Monster and speculations on its geometric origin and current physics.

Keywords

Finite simple groups products of η-functions Mathieu groupM24 Leech lattice 

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Copyright information

© Indian Academy of Science 1989

Authors and Affiliations

  • David Ford
    • 1
  • John McKay
    • 1
  1. 1.Computer Science DepartmentConcordia UniversityMontrealCanada

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