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Coefficients of Products of Powers of Eta Functions

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Abstract

We give an elementary proof of a conjecture of Cooper, Hirschhorn and Lewis concerning the coefficients of certain products of powers of Dedekind eta functions.

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References

  1. H. Cohn, A Second Course in Number Theory, John Wiley & Sons, New York, London, 1962.

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  2. S. Cooper, M. Hirschhorn, and R. Lewis, “Powers of Euler's product and related identities,” Ramanujan J. 4 (2000) 137-155.

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  4. I.G. Macdonald, “Affine root systems and Dedekind's η-function,” Invent. Math. 15 (1972) 91-143.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Exeter, Exeter, EX4 4QE, UK

    Robin Chapman

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  1. Robin Chapman
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Chapman, R. Coefficients of Products of Powers of Eta Functions. The Ramanujan Journal 5, 271–279 (2001). https://doi.org/10.1023/A:1012974611170

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  • DOI: https://doi.org/10.1023/A:1012974611170

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