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Ramifications of Ramanujan's work on η-products

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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.

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Authors and Affiliations

  1. Computer Science Department, Concordia University, 1455 de Maisonneuve West, H3G 1M8, Montreal, Quebec, Canada

    David Ford & John McKay

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  1. David Ford
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  2. John McKay
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Ford, D., McKay, J. Ramifications of Ramanujan's work on η-products. Proc. Indian Acad. Sci. (Math. Sci.) 99, 221–229 (1989). https://doi.org/10.1007/BF02864394

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  • DOI: https://doi.org/10.1007/BF02864394

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